Model Predictive Control of Uncertain Constrained Linear System Based on Mixed ℋ<sub>2</sub>/ℋ<sub>∞</sub> Control Approach

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="402948.fig.007a" src="https://static.hindawi.com/articles/jcse/volume-2012/402948/figures/402948.fig.007a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>System with <svg height="17.815001" id="M274" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 60.785 17.815001" width="60.785" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.815)">
<text transform="matrix(1,0,0,-1,0.498,2.836)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛾</tspan>
</text>
<text transform="matrix(1,0,0,-1,5.849,7.837)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,14.211,2.836)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.028002" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.279562" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405342" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="27.656902" y="0">5</tspan>
</text>
</g>
</svg></td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="402948.fig.007b" src="https://static.hindawi.com/articles/jcse/volume-2012/402948/figures/402948.fig.007b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>System with <svg height="17.815001" id="M275" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 41.248749 17.815001" width="41.248749" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,17.815)">
<text transform="matrix(1,0,0,-1,0.498,2.836)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛾</tspan>
</text>
<text transform="matrix(1,0,0,-1,5.849,7.837)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,14.211,2.836)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.028002" y="0">4</tspan>
</text>
</g>
</svg></td></tr></table></td></tr></table>

<table>Upper bound on <svg height="15.89" id="M273" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 22.938749 15.89" width="22.938749" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,15.89)">
<text transform="matrix(1,0,0,-1,0.498,3.624)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℋ</tspan>
</text>
<text transform="matrix(1,0,0,-1,12.964,0.498)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</svg> cost function for coupled spring-mass system.</table>

Journal of Control Science and Engineering

fig7

Figure 7

Figure 7: Model Predictive Control of Uncertain Constrained Linear System Based on Mixed ℋ<sub>2</sub>/ℋ<sub>∞</sub> Control Approach 

Journal of Control Science and Engineering

Model Predictive Control of Uncertain Constrained Linear System Based on Mixed ℋ2/ℋ∞ Control Approach

Figure 7

Model Predictive Control of Uncertain Constrained Linear System Based on Mixed ℋ₂/ℋ_∞ Control Approach