The Design of QFT Robust Compensators with Magnitude and Phase Specifications

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left"><svg height="6.4625001" id="M204" style="vertical-align:-0.12375pt" version="1.1" viewbox="0 0 9.6625004 6.4625001" width="9.6625004" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 11.21px; " x="0" y="0">𝜔</tspan>
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</svg> (rps)</td><td align="center"><svg height="12.075" id="M205" style="vertical-align:-1.99126pt" version="1.1" viewbox="0 0 42.424999 12.075" width="42.424999" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 11.21px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 11.21px; " x="8.0921764" y="0">|</tspan>
<tspan style="font-size: 11.21px; " x="10.333776" y="0">𝑇</tspan>
<tspan style="font-size: 11.21px; " x="16.498177" y="0">(</tspan>
<tspan style="font-size: 11.21px; " x="20.23044" y="0">𝜔</tspan>
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<tspan style="font-size: 11.21px; " x="31.595352" y="0">|</tspan>
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</svg> (dB)</td><td align="center"><svg height="12.175" id="M206" style="vertical-align:-1.99126pt" version="1.1" viewbox="0 0 78.849998 12.175" width="78.849998" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 11.21px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 11.21px; " x="8.0921764" y="0">P</tspan>
<tspan style="font-size: 11.21px; " x="14.335032" y="0">h</tspan>
<tspan style="font-size: 11.21px; " x="19.939032" y="0">a</tspan>
<tspan style="font-size: 11.21px; " x="24.915384" y="0">s</tspan>
<tspan style="font-size: 11.21px; " x="29.275295" y="0">e</tspan>
<tspan style="font-size: 11.21px; " x="34.251648" y="0">(</tspan>
<tspan style="font-size: 11.21px; " x="37.983913" y="0">𝑇</tspan>
<tspan style="font-size: 11.21px; " x="44.148312" y="0">(</tspan>
<tspan style="font-size: 11.21px; " x="47.880577" y="0">𝜔</tspan>
<tspan style="font-size: 11.21px; " x="55.513226" y="0">)</tspan>
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</svg> (degrees)</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left"> 0.01</td><td align="center"> 0.0004</td><td align="center"> 0.5729</td></tr><tr><td align="left">0.1</td><td align="center"> 0.0432</td><td align="center"> 5.7106</td></tr><tr><td align="left">1</td><td align="center"> 3.01</td><td align="center"> 45</td></tr><tr><td align="left">2</td><td align="center"> 6.99</td><td align="center"> 63.44</td></tr><tr><td align="left">10</td><td align="center"> 20.04</td><td align="center"> 84.29</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Magnitude specifications for the tracking problem.

Mathematical Problems in Engineering

tab2

Table 2

Table 2: The Design of QFT Robust Compensators with Magnitude and Phase Specifications 