Adaptive Method for Solving Optimal Control Problem with State and Control Variables

<table>Optimal state variables <svg height="14.6" id="M251" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 66.612503 14.6" width="66.612503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-60.2,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="8.0769377" y="0">)</tspan>
<tspan style="font-size: 12.50px; " x="12.240437" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="17.441685" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-35.87,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,-31,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="8.0769377" y="0">)</tspan>
</text>
</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Adaptive Method for Solving Optimal Control Problem with State and Control Variables 