Pareto Design of Decoupled Sliding-Mode Controllers for Nonlinear Systems Based on a Multiobjective Genetic Algorithm

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left">The mass of the ball</td><td align="center"><span style="width: 11.225px;"><svg height="7.1374998" id="M176" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">
								0.05
							</td></tr><tr><td align="left">The inertia moment of the beam</td><td align="center"><span style="width: 10.4375px;"><svg height="10.5125" id="M177" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 10.4375 10.5125" width="10.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.5125)">
<g transform="translate(72,-63.59)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐽</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">
								0.0833
							</td></tr><tr><td align="left">The gravity acceleration</td><td align="center"><span style="width: 8.4375px;"><svg height="9.9375" id="M178" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 8.4375 9.9375" width="8.4375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.9375)">
<g transform="translate(72,-64.05)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑔</tspan>
</text>
</g>
</g>
</svg></span></td><td align="center">
								9.81
							</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Journal of Applied Mathematics

tab3

Table 3

Table 3: Pareto Design of Decoupled Sliding-Mode Controllers for Nonlinear Systems Based on a Multiobjective Genetic Algorithm 