Adaptive Control for a Class of Nonlinear System with Redistributed Models

<table>Control <svg height="13.45" id="M151" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 22.8375 13.45" width="22.8375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
<tspan style="font-size: 12.50px; " x="5.9264221" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="10.089921" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="14.00336" y="0">)</tspan>
</text>
</g>
</g>
</svg> on the time interval [0.6, 20]. dash-dotted line for the classical adaptive control, dashed line for the multiple model case (<svg height="10.9125" id="M152" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 56.262501 10.9125" width="56.262501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
<tspan style="font-size: 12.50px; " x="14.103384" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="26.143772" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="32.395271" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="38.646774" y="0">0</tspan>
</text>
</g>
</g>
</svg>) as in [<a href="/journals/jcse/2012/409139/#B7">7</a>], and solid line for the multiple identification model in this paper.</table>

Journal of Control Science and Engineering

fig3

Figure 3

Figure 3: Adaptive Control for a Class of Nonlinear System with Redistributed Models 