New Nonlinear Controller for a Class of Chaotic Systems Based on Adaptive Backstepping Fuzzy-Immune Control

<table>Trajectories of state <svg height="10.925" id="M187" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 14.8125 10.925" width="14.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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</svg> under initial conditions.</table>

Mathematical Problems in Engineering

fig7

Figure 7

Figure 7: New Nonlinear Controller for a Class of Chaotic Systems Based on Adaptive Backstepping Fuzzy-Immune Control 