{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Sailboat Mast Control\n", "\n", "John Kohne, Shea Taggart, Audrey Vicino, Matthew Howenstine \n", "Final Project for CBE 30338, Spring 2017\n", "\n", "---\n", "\n", "**Table of Contents:**\n", "\n", "[1.) Problem Statement](#section1)\n", "\n", "[2.) Theoretical Development](#section2)\n", "\n", "[3.) Results](#section3)\n", "\n", "[4.) Executable Element](#section4)\n", "\n", "[5.) Conclusions and Summary](#section5)\n", "\n", "[6.) Appendices](#section6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## 1.) Problem Statement\n", "\n", "### Problem\n", "\n", "For a sailboat to optimize its arrival to a destination, it must continually modify the angle of its sails to the ever-changing wind direction. This is done to maximize the forward driving force of the sails. If the angle of the wind to the sail plane is more or less than the optimal angle, then the driving force of the sails is less than it can be to create optimal performance in fetching one’s destination. A well performing boat is one that can position its sails at the optimal angle to the wind for the highest percentage of sailing time.\n", "\n", "Our design problem is to develop a sail trimming device and control system that will allow for the highest percentage of proper trim time as possible. A successful application would be one that could attain a sail plain to wind angle of between plus or minus 3 degrees of the ideal wind angle for over 85% of the time it was sailing, in average wind conditions.\n", "\n", "The dynamics of motion of a sailboat in a sea are very complex. There are motions in three axis planes and various forces working in various directions as well. To simplify our approach, we will consider that the boat is moving in one direction and the wind can oscillate but the boat will be fixed in its motion to one plane. The sail angle to the wind can be changed but will it will only move parallel to the horizontal plain and the sail plain will only move about the vertical axis. The force of the wind’s interaction with the sail will be modeled as a function of the wind velocity and the angle of the sail plane relative to the wind. The drag of the wind on the sails will not be modeled to simplify the equations. The drag of the boat’s hull through the water will be modeled as a function of the velocity and the cross sectional area of the boat’s displacement path through the water. These modeled forces will be used to determine position, acceleration and velocity of the boat in its progress to a predetermined destination.\n", "\n", "The boat, crew, and boom will be modeled with inertia and the velocity of the boat and boom used to determine their drag in movement. Using the acceleration and velocity, the distance of the ship along its predetermined course will be calculated. The use of a PID control system will drive the changes in the sail position which in turn would optimize the sail driving force and thus the velocity of the boat. Performance will be judged on the basis of the shortest time taken to travel the specified course distance.\n", "\t\n", "\n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## 2.) Theoretical Development\n", "\n", "\n", "### Assumptions Made:\n", "\n", "- 2-dimensional motion of a boat viewed from above\n", "\n", "- Simplified by not including apparent wind due to the added complexity associated with it \n", "\n", "- The drag on the sail was not included in calculations \n", "\n", "- The boat maintained a bearing of 360/0 degrees throughout the simulation \n", "\n", "- The wind velocity was constant \n", "\n", "- A sine wave, step function, and combination were built into the model, but only the step function model was optimized as it best represented the dynamics of the boat and the control action was most apparent \n", "\n", "- Wind was varied between 290 and 300 degrees \n", "\n", "- Model is only applicable to upwind sailing (not accurate for downwind sailing as the equation would be for completely stalled hydrodynamics) \n", "\n", "\n", "\n", "### Variables:\n", "\n", "$t$ = time = seconds\n", "\n", "$F_{sail}$ = force of the sail (perpendicular to the boom) = lb-f\n", "\n", "$F_{drag,ship}$ = drag force of the movement of the boat through the water = lb-f\n", "\n", "$m$ = mass = lb = Boat Weight + Crew Weight = [1750 + 650 = 2400 ft]\n", "\n", "$x$ = position = ft\n", "\n", "$C_{d}$ = drag coefficient for the ship [.075]\n", "\n", "$\\rho_{H_{2}O}$ = density of water = [62.43] lb/ft3\n", "\n", "$\\rho_{air}$ = density of air = [0.074887] lb/ft3\n", "\n", "$V_{ship}$ = velocity of the ship through the water = ft/s\n", "\n", "$A_{ship}$ = cross sectional area of the boat underwater = ft/s^2\n", "\n", "$\\theta_w$ = Wind angle = true compass angle of the boom (pointing parallel to the boom towards the front of the boat) = degrees\n", "\n", "$\\theta_b$ = Boom angle = degrees\n", "\n", "$\\alpha$ = $\\theta_b$-$\\theta_w$ = degrees\n", "\n", "SA = Surface area = ft^2\n", "\n", "$V_w$ = Wind veloctiy = ft/s\n", "\n", "$\\beta$ = drag coefficient for the turning movement of the boom = [50]\n", "\n", "$F_{B}$ = angular force of the boom = lb-f\n", "\n", "$I_{B}$ = angular moment of inertia of the boom = [100] lb ft^2\n", "\n", "$F_{drag,boom}$ = drag force of the angular movement of the boom = lbf\n", "\n", "### Force on Sail:\n", "\n", "$$F_s = SA * 6.28 (\\alpha) \\frac{\\pi}{180}\\frac{1}{2}\\rho V^2$$\n", "\n", "Explanation: This equation simulates the force generated by the movement of the wind past the curvature of the sail. The angle of the boom relative to the direction of the wind is an important component of the force that the sail is able to generate. The optimal relative angle is ten degrees based on the literature values. The model is built on the optimization of this angle so when the angle is not at its optimum value, the force falls off. Given the ten degree angle assumption, the force can be calculated from empirically derived constants that relate the force generated to the density and velocity squared of the air moving past the sail. Another important factor is the cross sectional area of the sail itself. This equation empirically expresses those relationships. \n", "- Example calulation:\n", " - SA = 117 $ft^2$,  $V_w$ = 22 ft/sec,  $\\rho$ = 0.074887 lbm/ft3:\n", " - $\\theta_b$ = 280, $\\theta_w$ = 270\n", " - $F_s = 117*6.28*10*\\frac{\\pi}{180}\\frac{1}{2}*0.074887*22^2 = 2324.05 lb_f$\n", " \n", "Note: The force was made to exponential decay after passing 10 degrees off of the wind angle, with the force reaching aproxiamtely 0 at around 15 degrees. Here is the force profile vs the diffenrece between the wind and boom angle:\n", "\n", "![](http://imgur.com/7mnVEsS.jpg)\n", " \n", "\n", "### Driving Force:\n", "\n", "$$F_{Dr} = SA * 6.28 (\\alpha) \\frac{\\pi}{180}\\frac{1}{2}\\rho V^2 *cos(\\theta_b - 270)$$\n", "\n", "Explanation: Since the angle of the boom relative to the optimal angle of the boom is not always aligned, this equation relates the angle of the driving force from the sail to the direction of the movement of the ship. This is accomplished with the use of a cosine expression. \n", "\n", "- Example calulation:\n", " - $F_{Dr} = F_s*cos(280-270) = 2288.74 lb_f$\n", "\n", "\n", "### Resulting Dynamics of Ship:\n", "\n", "$$m\\frac{d^2x}{dt^2} = F_{sail} - F_{drag}$$\n", "\n", "Explanation: This equation performs a similar function as the boom equation as the ship is given a mass and its drag. The dimensions of a ship called the J22 was used to determine the mass and sail areas that were used in these equations. This gave a realistic model to base our simulation off of. This equation gives a realistic boat model to use in the simulation, but does not directly affect the optimization aspects incorporated into the problem.\n", "\n", "### Drag on Ship:\n", "\n", "$$F_{drag} = C_{d} \\rho_{H_{2}O} V_{ship}^2 A_{ship}$$\n", "\n", "Explanation: The drag equation simulates the characteristics of drag on a boat as it moves through the water. The references regarding the hydrodynamics show that the drag is related to a drag coefficient that relates the velocity and drag of the boat in the water, it is also related to the cross sectional area of the boat that is underwater in the direction of its movement. \t\n", "\n", "### Boom Dynamics: \n", "$$F_{B} = I_{B} \\frac{d^2 \\phi_{B}}{dt^2} + \\beta\\frac{d\\phi}{dt}$$\n", "\n", "Explanation: This equation allows us to characterize a continuous movement of the boom over time by giving it a mass or moment so that when a force is applied to the boom its movement will demonstrate more realistic properties. Without inertial properties there would be no way to optimize this problem because the problem would solve itself ideally and instantaneously. By creating inertia in the boom, the PID controller has an optimization task in managing the inertia of the boom in relation to the angle of the wind. The force of the boom included an electronic signal limiter to prevent the boom from swinging wildy at unrealistic speeds to correct the error in the system. The maximum force the output allowed was changed to keep the maximum boom velocity under around 6 degrees per second \n", "\n", "### Derivative Rules for Finite Differences\n", "\n", "Where h = dt = t(i) - t(i-1)\n", "\n", "$$\\frac{dy}{dt} = \\frac{y(i)-y(i-1)}{h}$$\n", "\n", "$$\\frac{d^2y}{dt^2} = \\frac{y(i)-2y(i-1)+y(i-2)}{h^2}$$\n", "\n", "Explanation: Whenever a differential equation was utilized in the model, it was turned into a fixed step, finite difference approximation. In each case, y(i) was able to be solved for.\n", "\n", "\n", "### Controller\n", "\n", "PID Controller:\n", "\n", "$$u(t) = K_p*e(t)+\\frac{K_p}{T_i}\\int^t_0 e(t)d\\tau+ K_p*T_d\\frac{d}{dt}e(t)$$\n", "\n", "Discretized PID (with step size h):\n", "\n", "First, take finite difference derivative of both sides:\n", "\n", "$$\\frac{u(i) - u(i-1)}{h} = K_p \\left[ \\frac{e(i)-e(i-1)}{h}+\\frac{1}{T_i}e(i)+T_d\\frac{[e(i)-2e(i-1)+e(i-2)]}{h^2}\\right]$$\n", "\n", "Solve for u(i):\n", "\n", "$$u(i) = u(i-1)+K_p [e(i)-e(i-1)]+\\frac{K_p*h}{T_i}e(i) + \\frac{K_pT_d}{h}[e(i)-2e(i-1)+e(i-2)]$$\n", "\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## 3.) Results\n", "\n", "### General Results of Code:\n", "\n", "In the \"SIMULATION SETUP\" part of the code, the user can specify number of runs (parameter sets to test), the values of these parameters in each case (Kp, TauI, and TauD lists all have to be N(Runs) long for code to work). The wind type can be used to specify three different wind conditions: step function of 10º every 100 seconds, sinusoidal wave with amplitude of 10º, and a combination of the two types with a unit step occuring once in each 500 second interval. For all modeling optimaztion purposes below, the first type (simple step function) was used to fully capture the response behavior to the disturbance (wind direction). \n", "\n", "The graphs that are outputted are (1) the boom angle and wind angle as a function of time, (2) the error in the optimal boom angle as a function of time, (3) the force on the sail, (4) the force in the direction of sailing, (5) the boom angle response to a single step, (6) the angular velocity and acceration of the boom as a result of the PID controller being fed into a digital-signal-to-force conversion motor mechanism, (7) the ship velocity, (8) the ship's position, and if two of the PID parameters are held constant while the other one changes, (9) a graph of the time it took the ship to reach 15k feet vs the changing parameter.\n", "\n", "For proportional control only (TauI = 1E7, TauD = 0.0), with the following values for each run:\n", "\n", "| Run| Kp | Time until 15k feet|\n", "|:-:|:-:|:-:|\n", "| 1| 0.1| 1658.96589659 s| \n", "| 2| 1.0| 1566.55665567 s| \n", "| 3| 2.0 | 1553.35533553 s| \n", "\n", "Note: the way to run this simulation would be to set Runs=3, and then:\n", "\n", " Kp =[0.5,1.0,2.0]\n", " TauI =[1E7]*Runs\n", " TauD =[0.]*Runs]\n", "\n", "The following graphs give a sample of the most relevent data outputed by a run of the program:\n", "\n", "![](http://imgur.com/lpzmbeI.jpg)\n", "\n", "![](http://imgur.com/9NZaOvs.jpg)\n", "\n", "\n", "### Optimized PID Controller:\n", "\n", "To obtain a highly optimized system, parameters were first guessed and then improved upon to minimize time until the 15k feet target was achieved. The initial starting point was visually obtained by varying parameters until a value that had slight overshoot and fast respose was obtained. This intial guess for Kp, $\\tau_i$, and $\\tau_d$ was:\n", "\n", "| Kp|$\\tau_i$ |$\\tau_d$ | Time until 15k feet|\n", "|:-:|:-:|:-:|:-:|\n", "| 5| 100.0|0.5| 1551.35513551 s| \n", "\n", "![](http://imgur.com/MilNqc7.jpg)\n", "\n", "While keeping $\\tau_i$ and $\\tau_d$ constant at 100.0 and 0.5 respectively, various values of Kp were tested and then plotted vs the time it took for the ship to reach 15k feet. The following plot was obtained:\n", "\n", "![](http://imgur.com/UKo6Djq.jpg)\n", "\n", "A value of 15.0 was chosen for an ideal value due to it lying on the tail end of the exponentially decaying plot, where a little change in Kp resulted in a small change in the time required. At the higher values, the time decreased, but overshoot increased. A value of 15.0 was chosen as a balance between these two competing conditions.\n", "\n", "With Kp set to 15.0, $\\tau_d$ was held at 0.5 and various $\\tau_i$ were used to obtain time values and then plotted:\n", "\n", "![](http://imgur.com/mJhky0S.jpg) \n", "\n", "Following a similar pattern with Kp, a value of 700 was chosen for $\\tau_i$ due to it's leveling-off behavior as it increased, as well as the previously mentioned factors. (Note, while the graph appears to half a solution on the left side as well due to the slope down, it didn't reach a stable solution on the other side comprable to the solutions with increasing $\\tau_i$) Finally, keeping Kp at the chosen 15.0 and $\\tau_i$ at the chosen 700.0, a range of values of $\\tau_d$ were utilized and graphed:\n", "\n", "![](http://imgur.com/rBPRHgL.jpg)\n", "\n", "Unlike the other two parameters, there was an trend to be followed to properly optimize $\\tau_d$, as it's graph included a definitive valley. With $\\tau_d$ < 0.75, the system experienced too much overshoot, which negatively affected the performance of the sail. With $\\tau_d$ > .85, the system was too slow to properly respond to changes compared to the center of the valley. As such, a middling value of 0.8 was chosen for $\\tau_d$.\n", "\n", "Running a simulation of the resulting controller resulted in the following values:\n", "\n", "| Kp|$\\tau_i$ |$\\tau_d$ | Time until 15k feet|\n", "|:-:|:-:|:-:|:-:|\n", "|15.0| 700.0|0.8| 1517.95179518 s| \n", "\n", "![](http://imgur.com/rhHIbb9.jpg)\n", "\n", "With a smaller overshoot than the original starting point parameters (~.5 instead of ~ 2.0), and with a quicker response, this system reached the destination a full 33.4 seconds sooner, despite having similar parameters and similar appearances at first in terms of response. In a tight boat race, this 33.4 seconds could become an important deciding factor. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## 4.) Executable Element: Code\n", "\n", "By default, the code will utilize the following parameter sets (Runs=3) outlining various differnt types of response:\n", "\n", " Kp =[0.5,1.5,15.0]\n", " TauI =[1E7,100,700]\n", " TauD =[0.0,.5,.8]\n", " \n", "System 1 corresponds to an overdamped proportional control only system, System 2 corresponds to an unoptimized PID response, and System 3 is the optimized values from the above section.\n", "\n", "Note: the following are the most productive ways to set values for the three parameters\n", "\n", " - All runs = same value:\n", " Parameter = [X.X] * Runs\n", " - All runs = different values:\n", " Parameter = [X.X, Y.Y, Z.Z, ...]\n", " - Linearly spaced values:\n", " Parameter = np.linspace(X.X, Z.Z, Runs)\n", " " ] }, { "cell_type": "code", "execution_count": 536, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Import neccessary modules\n", "\n", "%matplotlib inline\n", "\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import control.matlab as control\n", "\n", "# Define a degrees to radians function\n", "def DegtoRad(angle):\n", " return angle*2*np.pi/360.\n", "\n", "# The javascript below is to resize window to fit all charts from simulation" ] }, { "cell_type": "code", "execution_count": 537, "metadata": { "collapsed": false }, "outputs": [ { "data": { "application/javascript": [ "IPython.OutputArea.auto_scroll_threshold = 9999;" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "IPython.OutputArea.auto_scroll_threshold = 9999;" ] }, { "cell_type": "code", "execution_count": 715, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YOo2fVSbZPLqJTWObGn6+EQ4cPIB/OPld4jyPPZ73jVU5d/FZLN+8giVr75im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kCbJIxuu2q/PJ7rkZLiNLzt4NiSKI/n0LYxtz2orgglC6Snm4vniYkJwb/y5BzD205Lcxna3sHQ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\nzHPo0aOAS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bKWWZpjkGJzD5AlgPjFVK/dBWwsWirq51d/4YhsG1197AyJGjop7r2DFnr69N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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Average Force #1: 1964.1095763\n", "Average Force #2: 2032.06516162\n", "Average Force #3: 2264.64748194\n" ] }, { "data": { "image/png": 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Jc44HYGA4w/4B2/BYubir7vZjTmBqo5AUpC+qv71yaEu18sHlF3l8vPC8AWi0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\n7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8FUZPvVBw1MX7ht5dYB4QBrnykTlySusFsPSarpEcQt7P7/q495lOeokkKjFBld1x8D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\nbxt0lebM6y9+O+XkJGXLp59X9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Average Force in Direction #1: 1600.62631774\n", "Average Force in Direction #2: 1665.15183657\n", "Average Force in Direction #3: 1848.73864241\n" ] }, { "data": { "image/png": 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LUWsSfMGeurhYCPE3KaWzyub7Qu2U+x+oZbRjDHRKIqiZT87OvmGXM+Nc610OuyCWZVmG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\n9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803sm7dOoYP355bb/0NyZuuB+DMfgN5rKqKs846jZqaGiZPPorJk48G4Je/vJXbbruZ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\nMH16FHPmRNK373s4OjrRtOkrBAcbnbFLl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rP7F4+qd8C1g8r5bmRfUsmVfL4qYaFju/62uqpLumIEwBgTlJYTLHGuYg8OiW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0BatWLQOgYsXKdOrUAx8fnxTyxMbGMnnyBDZu/IPExASqVKlK5849yJs3LwD7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\nKFfuRRYuXEBSUjINGjSmQ4c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lDPjmAcilyWYUNhQW0H4smn8fYWGhDj+NGtUmKmoo8fHx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\nnOd99z63AXcBXYBfASMl9cztG+Hz2uL0W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U2vJ+9GQiNWu2m/E4mWEhorrDIt0Z1sIE0hEGB8dJpLL0DIiwtbg5WpYdllM9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lw/REVEFAqFQqFIG+PeEdFVjYhCoVAoFKll3M/ObhxEpWYUCoVCoUgdu8zsrOnGzh6CQqFQKBSK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\nihWz7DtjxlxGjHiCV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Time for Ship #1 to reach 15k ft: 1658.96589659\n", "Time for Ship #2 to reach 15k ft: 1607.16071607\n", "Time for Ship #3 to reach 15k ft: 1517.95179518\n" ] }, { "data": { "image/png": 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l1l2T7V6CnNsox5BDQtal23pPvWstnO3KPxb66KNDWbjwc3bv3kW7dh1p3boN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\nyi+B/wBIkCNEG+YoL6d4/Rrqvr+hNxgMhGdMInLGTIw+Ps/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Ec2luN1XfnqJ0yybcDQ2A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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "###################################################\n", "# SIMULATION SETUP:\n", "\n", "# Define changable controller parameteres \n", "# IF ArmControl = 0:\n", "# Valid: Kp < 1.0\n", "# Suggested example for well controlled system: Kp = .2, TauI = 50., TauD = .1\n", "# Suggested example for overdamped system with proptional only control: Kp = .2, TauI = 1E5., TauD = 0\n", "# Suggested example for underdamped system with proptional only control: Kp = 1.4, TauI = 1E5., TauD = 0\n", "# IF ArmControl = 1:\n", "# Suggested example for well controlled system: Kp = 2., TauI = 100., TauD = .5 (w/slight overshoot)\n", "# Suggested example for overdamped system with proptional only control: Kp = .3, TauI = 1E5., TauD = 0\n", "# Suggested example for underdamped system with proptional only control: Kp = 3., TauI = 1E5., TauD = 0\n", "\n", "Runs = int(3) #number of values in each list for Kp, TauI, TauD \n", "#(Be sure to fill each of the vectors below with the appropriate number of values)\n", "\n", "Kp =[0.5,1.5,15.0]\n", "TauI =[1E7,100,700]\n", "TauD =[0.0,.5,.8]\n", "\n", "# Wind type (1=step wave, 2=sin wave, 3=combination sin wave and step (4:1 ratio))\n", "WindType = 1\n", "\n", "###################################################\n", "# SIMULLATION:\n", "\n", "# Simulation setup\n", "points = 10000 # number of steps\n", "timeBound = 2000 # largest time \n", "t = np.linspace(0,timeBound,points) # create time vector\n", "dt = t[1]-t[0]\n", "thetaW = [None]*points # wind angle\n", "\n", "# Create empty lists to hold values\n", "thetaB = [None]*Runs # boom angle\n", "thetaBideal = [None]*Runs #ideal boom angle\n", "Error = [None]*Runs # error\n", "p = [None]*Runs # controller response\n", "\n", "Force = [None]*Runs # Force on sail\n", "ForceDr = [None]*Runs # directional force on sail\n", "\n", "thetaF = [None]*Runs # Boom Force\n", "thetaV = [None]*Runs # Boom Angular Velocity\n", "thetaA = [None]*Runs # Boom acceleration\n", "\n", "shipV = [None]*Runs # ship veloctiy\n", "shipA = [None]*Runs # ship acceleration\n", "shipX = [None]*Runs # ship position\n", "\n", "time15k = [None]*Runs # time until ship reaches 15,000 ft travelled\n", "\n", "# Finalize the initiation of the multi-dimensional arrays to hold the values for each run\n", "for k in range(Runs):\n", " thetaB[k] = [None]*points \n", " thetaBideal[k] = [None]*points \n", " Error[k] = [None]*points \n", " p[k] = [None]*points \n", " Force[k] = [None]*points\n", " ForceDr[k] = [None]*points \n", " thetaF[k] = [None]*points \n", " thetaV[k] = [None]*points \n", " thetaA[k] = [None]*points \n", " shipV[k] = [None]*points\n", " shipA[k] = [None]*points\n", " shipX[k] = [None]*points\n", "\n", "# Develop step in wind\n", "if (WindType==1):\n", " for i,j in enumerate(t):\n", " if j%200 > 100:\n", " thetaW[i] = 300.\n", " else: \n", " thetaW[i] = 290.\n", " \n", "elif (WindType==2):\n", " for i,j in enumerate(t):\n", " thetaW[i] = 10*np.sin(j/(20*np.pi))+290\n", "\n", "elif (WindType==3):\n", " for i,j in enumerate(t):\n", " if j%500 > 400:\n", " thetaW[i] = 300.\n", " else: \n", " thetaW[i] = 10*np.sin(j*np.pi/(250))+290\n", " \n", "# Properties (for a J-22)\n", "SA = 117. # ft^2 \n", "Weight = 1750. # lbs\n", "Crew = 650. # lbs\n", "rho = 0.074887 # lbm/ft3, air density\n", "Vw = 22. # ft/sec wind speed\n", "Cd = 0.075\n", "rhoW = 62.43 # lb/ft3, water density\n", "shipArea = 4 # ft2\n", "\n", "# Boom Arm Proprties\n", "Ib = 100# lb m - moment\n", "KthetaB = 10 # proportional response to controller electronic signal\n", "Beta = 50 # Drag of the boom\n", "\n", "ArmControl =1 # 0 ignores boom properties, 1 includes physical boom properties\n", "ForceLimit =1 # 0 ignores boom force limiter\n", "\n", "# Calculate rough estimate of step two with proportional control only\n", "# Set up allows use of t[i-2] in derivative controller in main loop\n", "for k in range(Runs):\n", " # Set up initial values\n", " thetaB[k][0] = 300.\n", " thetaBideal[k][0] = thetaW[0]+10.\n", " p[k][0]=0\n", " Error[k][0]=thetaBideal[k][0]-thetaB[k][0]\n", " p[k][0]=Kp[k]*Error[k][0]\n", " thetaBideal[k][1] = thetaW[0]+10\n", " Error[k][1]=thetaBideal[k][0]-thetaB[k][0]\n", " p[k][1]=Kp[k]*(Error[k][1]-Error[k][0])\n", " thetaB[k][1] = thetaB[k][0]+p[k][1]\n", " \n", " shipX[k][0],shipX[k][1]=0.0,0.0\n", " shipV[k][0],shipV[k][1]=0.0,0.0\n", " shipA[k][0],shipA[k][1]=0.0,0.0\n", " \n", "# Process loop - discrete steps\n", "\n", "for k in range(Runs):\n", " for i,j in enumerate(t):\n", " if i>1:\n", " Error[k][i]=(thetaBideal[k][i-1]-thetaB[k][i-1]) # New Error\n", " PIDdelta1 = Kp[k]*(Error[k][i]-Error[k][i-1]) # Proportional Control\n", " PIDdelta2 = Kp[k]*dt/(TauI[k])*Error[k][i] # Integral Control\n", " PIDdelta3 = Kp[k]*TauD[k]/dt*((Error[k][i]-2*Error[k][i-1]+Error[k][i-2])) # Derivative Control\n", " \n", " PIDdelta = PIDdelta1+PIDdelta2+PIDdelta3 # Full Controller \n", "\n", " \n", " p[k][i]=p[k][i-1]+PIDdelta # New response\n", " \n", " if ArmControl==1:\n", " thetaF[k][i] = (p[k][i])*KthetaB\n", " if ForceLimit==1:\n", " if (thetaF[k][i]>180/dt):\n", " thetaF[k][i]=180/dt\n", " elif (thetaF[k][i]<-180/dt):\n", " thetaF[k][i]=-180/dt\n", " RightNumArm = thetaF[k][i]+ (Ib/(dt**2)*(2.*thetaB[k][i-1]-thetaB[k][i-2]))+ (Beta*thetaB[k][i-1]/dt)\n", " Arm = RightNumArm /((Ib/dt**2)+(Beta/dt))\n", " thetaB[k][i] = Arm\n", " else:\n", " thetaB[k][i] = thetaB[k][i-1]+p[k][i]\n", "\n", " thetaV[k][i] = (thetaB[k][i]-thetaB[k][i-1])/dt\n", " thetaA[k][i] = (thetaB[k][i]-2.*thetaB[k][i-1]+thetaB[k][i-2])/(dt**2.)\n", " \n", " thetaBideal[k][i]=thetaW[i]+10. # New ideal angle\n", " \n", " VApp = Vw #- shipV[k][i-1]\n", " # Force Equations:\n", " if (((thetaB[k][i]-thetaW[i])<=10.) and ((thetaB[k][i]-thetaW[i])>=-10.)):\n", " Force[k][i] = SA*6.28*(thetaB[k][i]-thetaW[i])*np.pi/180/2*rho*VApp**2 # Overall force\n", " ForceDr[k][i] = Force[k][i]*np.cos(DegtoRad(thetaB[k][i]-(270.))) # Directional force\n", " elif ((thetaB[k][i]-thetaW[i])>10.): \n", " Force[k][i] = SA*6.28*(thetaB[k][i]-thetaW[i])*np.pi/180/2*rho*VApp**2*(np.exp(-(thetaB[k][i]-thetaW[i]-10)))# Overall force\n", " ForceDr[k][i] = Force[k][i]*np.cos(DegtoRad(thetaB[k][i]-(270.)))\n", " elif ((thetaB[k][i]-thetaW[i])<-10.): \n", " Force[k][i] = SA*6.28*(thetaB[k][i]-thetaW[i])*np.pi/180/2*rho*VApp**2*(np.exp((thetaB[k][i]-thetaW[i]+10)))# Overall force\n", " ForceDr[k][i] = Force[k][i]*np.cos(DegtoRad(thetaB[k][i]-(270.)))\n", " \n", " FD = Cd*rhoW*shipArea*shipV[k][i-1]**2\n", " shipF = ForceDr[k][i]-FD\n", " shipA[k][i] = shipF/(Weight+Crew)\n", " shipV[k][i] = shipA[k][i-1]*dt+shipV[k][i-1]\n", " shipX[k][i] = shipV[k][i-1]*dt+shipX[k][i-1]\n", " \n", " if (shipX[k][i] > 15000)and(time15k[k]==None):\n", " time15k[k]=j\n", " \n", "\n", "#######################################\n", "# PLOTTING RESULTS\n", "\n", "for k in range(Runs):\n", " plt.plot(t,thetaB[k],label=\"Boom Angle #%d\" % (k+1))\n", "plt.plot(t,thetaW, label = \"Wind Angle\")\n", "plt.legend(loc=0)\n", "plt.title(\"Wind angle and Boom angle response\")\n", "plt.xlabel('Time (Seconds)')\n", "plt.ylabel('Wind Angle and Boom Angle (Degrees)')\n", "plt.show()\n", "\n", "for k in range(Runs):\n", " plt.plot(t,Error[k],label=\"Error Signal #%d\" % (k+1))\n", "plt.legend(loc=0)\n", "plt.title(\"Error Signal\")\n", "plt.xlabel('Time (Seconds)')\n", "plt.ylabel('Error (Degrees)')\n", "plt.show()\n", "\n", "if (Runs>1):\n", " for k in range(Runs):\n", " plt.plot(t,Force[k],label =\"Total Force on Sail #%d\" % (k+1))\n", " print((\"Average Force #%d: \" + str(np.average(Force[k][2:points]))) % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Force on Sail\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Force (lb-f)')\n", " plt.show()\n", " for k in range(Runs):\n", " plt.plot(t,ForceDr[k], label=\"Force on Sail in Direcetion of Boat #%d\" % (k+1))\n", " print((\"Average Force in Direction #%d: \" + str(np.average(ForceDr[k][2:points]))) % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Force on Sail in Direction of Sailing\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Force (lb-f)')\n", " plt.show()\n", "else:\n", " for k in range(Runs):\n", " plt.plot(t,Force[k],label =\"Total Force on Sail #%d\" % (k+1))\n", " plt.plot(t,ForceDr[k], label=\"Force on Sail in Direcetion of Boat #%d\" % (k+1))\n", " print((\"Average Force #%d: \" + str(np.average(Force[k][2:points]))) % (k+1))\n", " print((\"Average Force in Direction #%d: \" + str(np.average(ForceDr[k][2:points]))) % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Force on Sail\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Force (lb-f)')\n", " plt.show()\n", "\n", "if WindType == 3:\n", " for k in range(Runs):\n", " plt.plot(t[int(395./2000.*points):int(515./2000.*points)],thetaB[k][int(395./2000.*points):int(515./2000.*points)],label=\"Boom Angle #%d\" % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Boom Angle Response to step\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Boom Angle (Degrees)')\n", "else:\n", " for k in range(Runs):\n", " plt.plot(t[int(95./2000.*points):int(215./2000.*points)],thetaB[k][int(95./2000.*points):int(215./2000.*points)],label=\"Boom Angle #%d\" % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Boom Angle Response to step\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Boom Angle (Degrees)')\n", "plt.show()\n", "\n", "if WindType == 3:\n", " for k in range(Runs):\n", " plt.plot(t[int(395./2000.*points):int(425./2000.*points)],thetaV[k][int(395./2000.*points):int(425./2000.*points)],label=\"Boom Angular Velocity #%d\" % (k+1))\n", " plt.plot(t[int(395./2000.*points):int(425./2000.*points)],thetaA[k][int(395./2000.*points):int(425./2000.*points)],'--',label=\"Boom Angular Acceleration #%d\" % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Boom Angular Velocity and Acceleration response to Wind Angle step\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Feet/Second or Feet/Second^2')\n", "else:\n", " for k in range(Runs):\n", " plt.plot(t[int(95./2000.*points):int(125./2000.*points)],thetaV[k][int(95./2000.*points):int(125./2000.*points)],label=\"Boom Angular Velocity #%d\" % (k+1))\n", " plt.plot(t[int(95./2000.*points):int(125./2000.*points)],thetaA[k][int(95./2000.*points):int(125./2000.*points)],'--',label=\"Boom Angular Acceleration #%d\" % (k+1))\n", " plt.legend(loc=0)\n", " plt.title(\"Boom Angular Velocity and Acceleration response to Wind Angle step\")\n", " plt.xlabel('Time (Seconds)')\n", " plt.ylabel('Feet/Second or Feet/Second^2')\n", "plt.show()\n", "\n", "for k in range(Runs):\n", " plt.plot(t,shipV[k],label=\"Ship Velocity #%d\" % (k+1))\n", "plt.legend(loc=0)\n", "plt.title(\"Ship Velocity\")\n", "plt.xlabel('Time (Seconds)')\n", "plt.ylabel('Feet/Second')\n", "plt.show()\n", "\n", "for k in range(Runs):\n", " plt.plot(t,shipX[k],label=\"Ship Position #%d\" % (k+1))\n", " print((\"Time for Ship #%d to reach 15k ft: \" + str(time15k[k])) % (k+1))\n", "plt.legend(loc=0)\n", "plt.title(\"Ship Position\")\n", "plt.xlabel('Time (Seconds)')\n", "plt.ylabel('Feet')\n", "plt.show()\n", "\n", "# Checks to see if only one of the parameters was changed over the runs, \n", "# and plots the relative performance at the benchmarks set by the \n", "# other two unchanging parameters\n", "if Runs > 2:\n", " if all(x==TauD[0] for x in TauD)and(all(x==TauI[0] for x in TauI)):\n", " plt.plot(Kp,time15k)\n", " plt.title(\"Time to Reach 15k vs Kp\")\n", " plt.xlabel('Kp')\n", " plt.ylabel('Time to 15k ft')\n", " plt.show()\n", " elif all(x==Kp[0] for x in Kp)and(all(x==TauD[0] for x in TauD)):\n", " plt.plot(TauI,time15k)\n", " plt.title(\"Time to Reach 15k vs TauI\")\n", " plt.xlabel('TauI')\n", " plt.ylabel('Time to 15k ft')\n", " plt.show()\n", " elif all(x==Kp[0] for x in Kp)and(all(x==TauI[0] for x in TauI)):\n", " plt.plot(TauD,time15k)\n", " plt.title(\"Time to Reach 15k vs TauD\")\n", " plt.xlabel('TauD')\n", " plt.ylabel('Time to 15k ft')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## 5.) Conclusions and Summary: \n", "\n", "A current model of a sailing vessel was simulated as the core of this project. The primary simulation was based on the aerodynamics of a sail in a fixed wind velocity condition. The objective of the simulation was to optimize the course made good over a specified distance of a vessel in a step based varying wind velocity profile. This objective was met by controlling the movement of the sail, with a desire to move it to an optimal position relative to the wind. This would produce the greatest driving force for the movement of the boat through the specified course. The model used a PID controller to control the movements of the sail relative to the changing wind. An optimization of the PID controller parameters was tested against performance to time traveled over the fixed course. These values were determined using optimization techniques and presented. With the use of optimized PID parameters, the performance of the sailboat improved 33.4 seconds over a best guess method using our empiric familiarity with the workings of the program. This difference might at first seem small but is quite substantial in racing venues.\n", "\n", "Although many simplifying assumptions were made in the creation of this model and PID control mechanism used, the equations used replicated true boat behavior fairly accurately. There is much room for the future development of the model and learning that can come from it. Further testing with different wind model patterns will also be interesting.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "-------\n", "\n", "\n", "## 6.) Appendices. \n", "\n", "\n", "**References**\n", "\n", "Sailing Aerodynamics. John Morwood, Philosophical Library, New York, 1954.\n", "\n", "Design and Implementation of a Control System for a Sailboat. Robotics 2016, 5,5,DOI: 10, 3390/Roboticcs5010005\n", "\n", "Modeling and Control Design of a Robotic Sailboat. www.researchgate.net/publication/256444622\n", "\n", "What exactly is the lift of a sailboat as explained by Bernoulli’s principle? http://phtsics.stackexchange.com/questions/83639" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }