Less Conservative <svg style="vertical-align:-4.50008pt;width:37.625px;" id="M1" height="21.125" version="1.1" viewBox="0 0 37.625 21.125" width="37.625" xmlns="http://www.w3.org/2000/svg">
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					<text transform="matrix(1,0,0,-1,-71.95,59.63)">
						<tspan style="font-size: 17.93px; " x="0" y="0">ℋ</tspan>
					</text>
					<text transform="matrix(1,0,0,-1,-54.07,55.15)">
						<tspan style="font-size: 12.55px; " x="0" y="0">∞</tspan>
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		</svg> Fuzzy Control for  Discrete-Time Takagi-Sugeno Systems

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">  Gain</td><td align="center"> Value</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left"><span style="width: 18.125px;"><svg height="14.2375" id="M165" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 18.125 14.2375" width="18.125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
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<text transform="matrix(1,0,0,-1,-62.42,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
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</svg></span></td><td align="center"><span style="width: 130.0625px;"><svg height="13.25" id="M166" style="vertical-align:-1.95624pt" version="1.1" viewbox="0 0 130.0625 13.25" width="130.0625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.25)">
<g transform="translate(72,-61.4)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">[</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="12.728054" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="18.979553" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="22.105305" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.356804" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="34.608303" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="40.859802" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="54.050468" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="65.390694" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="71.642189" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="74.767937" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="81.01944" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="87.270943" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="93.522438" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="99.773941" y="0">]</tspan>
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<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
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<text transform="matrix(1,0,0,-1,-62.42,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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</svg></span></td><td align="center"><span style="width: 130.0625px;"><svg height="13.25" id="M168" style="vertical-align:-1.95624pt" version="1.1" viewbox="0 0 130.0625 13.25" width="130.0625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.25)">
<g transform="translate(72,-61.4)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">[</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="12.728054" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.979553" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="22.105305" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="28.356804" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="34.608303" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="40.859802" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="54.050468" y="0">−</tspan>
<tspan style="font-size: 12.50px; " x="65.390694" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="71.642189" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="74.767937" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="81.01944" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="87.270943" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="93.522438" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="99.773941" y="0">]</tspan>
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</svg></span></td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Gains obtained by Theorem <a href="https://static.hindawi.com/articles/mpe/volume-2011/361640/figures/#thm1">3.1</a> considering <svg height="13.8" id="M164" style="vertical-align:-2.34499pt" version="1.1" viewbox="0 0 46.987499 13.8" width="46.987499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.8)">
<g transform="translate(72,-60.96)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛾</tspan>
<tspan style="font-size: 12.50px; " x="9.8148546" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.855244" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.106745" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.232494" y="0">5</tspan>
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</svg>. 

Mathematical Problems in Engineering

tab3

Table 3

Table 3: Less Conservative <svg style="vertical-align:-4.50008pt;width:37.625px;" id="M1" height="21.125" version="1.1" viewBox="0 0 37.625 21.125" width="37.625" xmlns="http://www.w3.org/2000/svg">
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						<tspan style="font-size: 17.93px; " x="0" y="0">ℋ</tspan>
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					<text transform="matrix(1,0,0,-1,-54.07,55.15)">
						<tspan style="font-size: 12.55px; " x="0" y="0">∞</tspan>
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		</svg> Fuzzy Control for  Discrete-Time Takagi-Sugeno Systems 

Table 3 | Less Conservative 
			
				
					
						ℋ
					
					
						∞
					
				
			
		 Fuzzy Control for  Discrete-Time Takagi-Sugeno Systems 

Mathematical Problems in Engineering

Less Conservative ℋ ∞ Fuzzy Control for Discrete-Time Takagi-Sugeno Systems

Table 3

Less Conservative Fuzzy Control for Discrete-Time Takagi-Sugeno Systems