{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ec91c757",
   "metadata": {},
   "source": [
    "# design of a servomechanism"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3e0c43b",
   "metadata": {},
   "source": [
    "This notebook uses the equation for damped harmonic motion, written in standard engineering notation, to model a servo mechanism."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "de025030",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9caddf19",
   "metadata": {},
   "outputs": [],
   "source": [
    "using SymPy"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33a6fd35",
   "metadata": {},
   "source": [
    "### 1. defining the solution"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea9c8dbc",
   "metadata": {},
   "source": [
    "We start with the transfer function using the $\\zeta$ and $\\omega$ notation of damped harmonic motion.\n",
    "\n",
    "$$\n",
    "    G(s) = \\frac{1}{s} - \\frac{s}{s^2 + 2 \\zeta \\omega s + \\omega^2}.\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a9272bcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(s, t, omega, zeta)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s, t, omega, zeta = Sym(\"s, t, omega, zeta\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e1fe5f3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$- \\frac{s}{\\omega^{2} + 2 \\omega s \\zeta + s^{2}} + \\frac{1}{s}$"
      ],
      "text/plain": [
       "               s                 1\n",
       "- ---------------------------- + -\n",
       "       2                     2   s\n",
       "  omega  + 2*omega*s*zeta + s     "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G = 1/s - s/(s^2 + 2*zeta*omega*s + omega^2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66184881",
   "metadata": {},
   "source": [
    "## 2. simulate"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e0e5012",
   "metadata": {},
   "source": [
    "The symbolic form of the solution in the time domain is derived on the lecture slides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9733cc14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\tau$"
      ],
      "text/plain": [
       "tau"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tau = Sym(\"tau\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3c5c9eb3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1 - \\frac{e^{- \\tau \\zeta} \\cos{\\left(\\tau \\sqrt{1 - \\zeta^{2}} + \\operatorname{atan}{\\left(\\frac{\\zeta}{\\sqrt{1 - \\zeta^{2}}} \\right)} \\right)}}{\\sqrt{1 - \\zeta^{2}}}$"
      ],
      "text/plain": [
       "                  /       ___________                       \\\n",
       "     -tau*zeta    |      /         2        /     zeta     \\|\n",
       "    e         *cos|tau*\\/  1 - zeta   + atan|--------------||\n",
       "                  |                         |   ___________||\n",
       "                  |                         |  /         2 ||\n",
       "                  \\                         \\\\/  1 - zeta  //\n",
       "1 - ---------------------------------------------------------\n",
       "                             ___________                     \n",
       "                            /         2                      \n",
       "                          \\/  1 - zeta                       "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytau = 1 - (1/sqrt(1-zeta^2))*exp(-zeta*tau)*cos(tau*sqrt(1-zeta^2) + atan(zeta/sqrt(1-zeta^2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ae6a1f40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1 - 1.00503781525921 e^{- 0.1 \\tau} \\cos{\\left(0.99498743710662 \\tau + 0.10016742116156 \\right)}$"
      ],
      "text/plain": [
       "                      -0.1*tau                                             \n",
       "1 - 1.00503781525921*e        *cos(0.99498743710662*tau + 0.10016742116156)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yt1 = ytau.subs(Dict(zeta=>0.1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ef3f439f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y1 (generic function with 1 method)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y1(T) = yt1.subs(Dict(tau=>T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d5b5d7b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(0:0.01:15, y1, label=\"zeta = 0.1\", xlabel=\"tau\", xticks=0:1:15, yticks=0.0:0.2:1.8, ylims=[0,1.8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a949e233",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figservozeta01.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2b60bb22",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1 - 1.66666666666667 e^{- 0.8 \\tau} \\cos{\\left(0.6 \\tau + 0.927295218001612 \\right)}$"
      ],
      "text/plain": [
       "                      -0.8*tau                                 \n",
       "1 - 1.66666666666667*e        *cos(0.6*tau + 0.927295218001612)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yt2 = ytau.subs(Dict(zeta=>0.2))\n",
    "yt4 = ytau.subs(Dict(zeta=>0.4))\n",
    "yt6 = ytau.subs(Dict(zeta=>0.6))\n",
    "yt7 = ytau.subs(Dict(zeta=>0.7))\n",
    "yt8 = ytau.subs(Dict(zeta=>0.8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "258e30d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y8 (generic function with 1 method)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y2(T) = yt2.subs(Dict(tau=>T))\n",
    "y4(T) = yt4.subs(Dict(tau=>T))\n",
    "y6(T) = yt6.subs(Dict(tau=>T))\n",
    "y7(T) = yt7.subs(Dict(tau=>T))\n",
    "y8(T) = yt8.subs(Dict(tau=>T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "60d2914a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1334.79,659.99 1336.17,659.685 1337.55,659.382 1338.93,659.081 1340.31,658.783 1341.69,658.487 1343.08,658.194 1344.46,657.902 1345.84,657.614 1347.22,657.328 1348.6,657.044 1349.98,656.762 1351.36,656.483 1352.74,656.207 1354.13,655.933 1355.51,655.661 1356.89,655.392 1358.27,655.126 1359.65,654.861 1361.03,654.6 1362.41,654.341 1363.79,654.084 1365.18,653.83 1366.56,653.578 1367.94,653.329 1369.32,653.083 1370.7,652.839 1372.08,652.597 1373.46,652.358 1374.84,652.122 1376.23,651.888 1377.61,651.657 1378.99,651.428 1380.37,651.202 1381.75,650.978 1383.13,650.757 1384.51,650.539 1385.89,650.323 1387.28,650.109 1388.66,649.898 1390.04,649.69 1391.42,649.484 1392.8,649.281 1394.18,649.081 1395.56,648.883 1396.94,648.687 1398.33,648.494 1399.71,648.304 1401.09,648.116 1402.47,647.931 1403.85,647.748 1405.23,647.568 1406.61,647.391 1407.99,647.216 1409.37,647.043 1410.76,646.873 1412.14,646.706 1413.52,646.541 1414.9,646.379 1416.28,646.219 1417.66,646.062 1419.04,645.907 1420.42,645.755 1421.81,645.605 1423.19,645.458 1424.57,645.313 1425.95,645.171 1427.33,645.031 1428.71,644.894 1430.09,644.759 1431.47,644.627 1432.86,644.497 1434.24,644.369 1435.62,644.245 1437,644.122 1438.38,644.002 1439.76,643.884 1441.14,643.769 1442.52,643.656 1443.91,643.546 1445.29,643.438 1446.67,643.332 1448.05,643.229 1449.43,643.128 1450.81,643.03 1452.19,642.934 1453.57,642.84 1454.96,642.748 1456.34,642.659 1457.72,642.572 1459.1,642.488 1460.48,642.406 1461.86,642.326 1463.24,642.248 1464.62,642.172 1466.01,642.099 1467.39,642.028 1468.77,641.96 1470.15,641.893 1471.53,641.829 1472.91,641.767 1474.29,641.707 1475.67,641.649 1477.06,641.594 1478.44,641.541 1479.82,641.489 1481.2,641.44 1482.58,641.393 1483.96,641.348 1485.34,641.306 1486.72,641.265 1488.11,641.226 1489.49,641.19 1490.87,641.155 1492.25,641.123 1493.63,641.092 1495.01,641.064 1496.39,641.037 1497.77,641.013 1499.15,640.99 1500.54,640.97 1501.92,640.951 1503.3,640.934 1504.68,640.919 1506.06,640.906 1507.44,640.895 1508.82,640.886 1510.2,640.879 1511.59,640.873 1512.97,640.87 1514.35,640.868 1515.73,640.868 1517.11,640.87 1518.49,640.873 1519.87,640.878 1521.25,640.885 1522.64,640.894 1524.02,640.904 1525.4,640.917 1526.78,640.93 1528.16,640.946 1529.54,640.963 1530.92,640.982 1532.3,641.002 1533.69,641.024 1535.07,641.048 1536.45,641.073 1537.83,641.1 1539.21,641.128 1540.59,641.158 1541.97,641.189 1543.35,641.222 1544.74,641.256 1546.12,641.292 1547.5,641.329 1548.88,641.368 1550.26,641.408 1551.64,641.45 1553.02,641.492 1554.4,641.537 1555.79,641.582 1557.17,641.629 1558.55,641.678 1559.93,641.727 1561.31,641.778 1562.69,641.831 1564.07,641.884 1565.45,641.939 1566.84,641.995 1568.22,642.052 1569.6,642.111 1570.98,642.17 1572.36,642.231 1573.74,642.293 1575.12,642.356 1576.5,642.42 1577.89,642.486 1579.27,642.552 1580.65,642.62 1582.03,642.688 1583.41,642.758 1584.79,642.829 1586.17,642.901 1587.55,642.973 1588.94,643.047 1590.32,643.122 1591.7,643.197 1593.08,643.274 1594.46,643.352 1595.84,643.43 1597.22,643.51 1598.6,643.59 1599.98,643.671 1601.37,643.753 1602.75,643.836 1604.13,643.92 1605.51,644.004 1606.89,644.089 1608.27,644.175 1609.65,644.262 1611.03,644.35 1612.42,644.438 1613.8,644.527 1615.18,644.617 1616.56,644.707 1617.94,644.799 1619.32,644.89 1620.7,644.983 1622.08,645.076 1623.47,645.17 1624.85,645.264 1626.23,645.359 1627.61,645.454 1628.99,645.55 1630.37,645.647 1631.75,645.744 1633.13,645.842 1634.52,645.94 1635.9,646.039 1637.28,646.138 1638.66,646.238 1640.04,646.338 1641.42,646.438 1642.8,646.539 1644.18,646.64 1645.57,646.742 1646.95,646.844 1648.33,646.947 1649.71,647.05 1651.09,647.153 1652.47,647.257 1653.85,647.361 1655.23,647.465 1656.62,647.569 1658,647.674 1659.38,647.779 1660.76,647.884 1662.14,647.99 1663.52,648.096 1664.9,648.202 1666.28,648.308 1667.67,648.414 1669.05,648.521 1670.43,648.628 1671.81,648.735 1673.19,648.842 1674.57,648.949 1675.95,649.056 1677.33,649.164 1678.72,649.271 1680.1,649.379 1681.48,649.487 1682.86,649.594 1684.24,649.702 1685.62,649.81 1687,649.918 1688.38,650.026 1689.76,650.134 1691.15,650.242 1692.53,650.35 1693.91,650.458 1695.29,650.565 1696.67,650.673 1698.05,650.781 1699.43,650.889 1700.81,650.996 1702.2,651.104 1703.58,651.212 1704.96,651.319 1706.34,651.426 1707.72,651.533 1709.1,651.64 1710.48,651.747 1711.86,651.854 1713.25,651.96 1714.63,652.067 1716.01,652.173 1717.39,652.279 1718.77,652.385 1720.15,652.49 1721.53,652.596 1722.91,652.701 1724.3,652.806 1725.68,652.911 1727.06,653.015 1728.44,653.119 1729.82,653.223 1731.2,653.327 1732.58,653.43 1733.96,653.533 1735.35,653.636 1736.73,653.738 1738.11,653.84 1739.49,653.942 1740.87,654.044 1742.25,654.145 1743.63,654.246 1745.01,654.346 1746.4,654.446 1747.78,654.546 1749.16,654.645 1750.54,654.744 1751.92,654.843 1753.3,654.941 1754.68,655.039 1756.06,655.136 1757.45,655.233 1758.83,655.33 1760.21,655.426 1761.59,655.521 1762.97,655.617 1764.35,655.711 1765.73,655.806 1767.11,655.9 1768.5,655.993 1769.88,656.086 1771.26,656.179 1772.64,656.271 1774.02,656.362 1775.4,656.453 1776.78,656.544 1778.16,656.634 1779.54,656.723 1780.93,656.812 1782.31,656.901 1783.69,656.989 1785.07,657.076 1786.45,657.163 1787.83,657.25 1789.21,657.336 1790.59,657.421 1791.98,657.506 1793.36,657.59 1794.74,657.674 1796.12,657.757 1797.5,657.839 1798.88,657.921 1800.26,658.003 1801.64,658.084 1803.03,658.164 1804.41,658.244 1805.79,658.323 1807.17,658.401 1808.55,658.479 1809.93,658.557 1811.31,658.633 1812.69,658.709 1814.08,658.785 1815.46,658.86 1816.84,658.934 1818.22,659.008 1819.6,659.081 1820.98,659.154 1822.36,659.226 1823.74,659.297 1825.13,659.368 1826.51,659.438 1827.89,659.507 1829.27,659.576 1830.65,659.644 1832.03,659.711 1833.41,659.778 1834.79,659.845 1836.18,659.91 1837.56,659.975 1838.94,660.04 1840.32,660.103 1841.7,660.166 1843.08,660.229 1844.46,660.291 1845.84,660.352 1847.23,660.412 1848.61,660.472 1849.99,660.531 1851.37,660.59 1852.75,660.648 1854.13,660.705 1855.51,660.762 1856.89,660.818 1858.28,660.873 1859.66,660.928 1861.04,660.982 1862.42,661.035 1863.8,661.088 1865.18,661.14 1866.56,661.191 1867.94,661.242 1869.32,661.292 1870.71,661.342 1872.09,661.391 1873.47,661.439 1874.85,661.486 1876.23,661.533 1877.61,661.579 1878.99,661.625 1880.37,661.67 1881.76,661.714 1883.14,661.758 1884.52,661.801 1885.9,661.843 1887.28,661.885 1888.66,661.926 1890.04,661.966 1891.42,662.006 1892.81,662.045 1894.19,662.084 1895.57,662.121 1896.95,662.159 1898.33,662.195 1899.71,662.231 1901.09,662.267 1902.47,662.301 1903.86,662.335 1905.24,662.369 1906.62,662.402 1908,662.434 1909.38,662.465 1910.76,662.496 1912.14,662.527 1913.52,662.556 1914.91,662.585 1916.29,662.614 1917.67,662.642 1919.05,662.669 1920.43,662.696 1921.81,662.722 1923.19,662.747 1924.57,662.772 1925.96,662.796 1927.34,662.82 1928.72,662.843 1930.1,662.866 1931.48,662.888 1932.86,662.909 1934.24,662.93 1935.62,662.95 1937.01,662.969 1938.39,662.988 1939.77,663.007 1941.15,663.025 1942.53,663.042 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\" />"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot!(0:0.01:15, y2, label=\"zeta = 0.2\")\n",
    "plot!(0:0.01:15, y4, label=\"zeta = 0.4\")\n",
    "plot!(0:0.01:15, y6, label=\"zeta = 0.6\")\n",
    "plot!(0:0.01:15, y7, label=\"zeta = 0.7\")\n",
    "plot!(0:0.01:15, y8, label=\"zeta = 0.8\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "fb38586d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figservozetas.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ae2dd3b5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(0:0.01:15, y7, label=\"zeta = 0.7\", xlabel=\"tau\", xticks=0:1:15, yticks=0.0:0.2:1.8, ylims=[0,1.8])\n",
    "plot!(0:0.01:15, y8, label=\"zeta = 0.8\", xlabel=\"tau\", yticks=0.0:0.2:1.8, ylims=[0,1.8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "44324a08",
   "metadata": {},
   "outputs": [],
   "source": [
    "# savefig(\"figservozeta78.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d19b63a",
   "metadata": {},
   "source": [
    "With $\\zeta = 0.7$, we see that the overshoot is slightly above 20%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1513e54b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1.20846960471506$"
      ],
      "text/plain": [
       "1.20846960471506"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y7(2.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "640420ee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$0.943560113247383$"
      ],
      "text/plain": [
       "0.943560113247383"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y7(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d6184bd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$0.967433093326487$"
      ],
      "text/plain": [
       "0.967433093326487"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y8(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2e321dfa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1.01140524609714$"
      ],
      "text/plain": [
       "1.01140524609714"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y8(1.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b40b61c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1.13344546176687$"
      ],
      "text/plain": [
       "1.13344546176687"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y7(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "85270edc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$1.12735271710978$"
      ],
      "text/plain": [
       "1.12735271710978"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y8(1.5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.12",
   "language": "julia",
   "name": "julia-1.12"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}