<fi xmlns='http://www.wiley.com/namespaces/wiley'>H</fi>H        <sub xmlns='http://www.wiley.com/namespaces/wiley'>∞</sub>∞        model reduction for T‐S fuzzy systems over finite frequency ranges

El‐Amrani Abderrahim; Boukili Bensalem; El?Hajjaji Ahmed; Hmamed Abdelaziz

摘要

Summary > This paper investigates the <fi>H</fi> <sub> <fi>∞</fi> </sub> model reduction problem over finite frequency ranges for continuous time Takagi‐Sugeno (T‐S) fuzzy systems. Given an asymptotically stable system, our aim is to find a stable reduced‐order system in such a way that the error of the transfer function between the original system and the reduced‐order one is bounded over a finite frequency range. By using the Finsler's lemma, new sufficient conditions in terms of linear matrix inequalities are derived in different frequency ranges. These conditions provide extra degrees of freedom in the optimization of the <fi>H</fi> <sub> <fi>∞</fi> </sub> performance when the frequency range of noises is known beforehand. Finally, we demonstrate via numerical examples that our method can achieve much smaller approximation error than existing approaches. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”xml：id =“oca2422-abs-abs-0001”> <标题类型=“main”>摘要</ title> > 本文调查了 <fi> h </ fi> <sub> <fi>∞</ fi> </ sub> 用于连续时间Takagi-Sugeno（T-S）模糊系统的有限频率范围的模型还原问题。鉴于渐近稳定的系统，我们的目的是找到一个稳定的减少阶系统，使得原始系统和减小阶的传递函数的误差在有限频率范围内界定。通过使用Finsler的LEMMA，在线性矩阵不等式方面的新条件是在不同的频率范围内推导出来的。这些条件在优化方面提供了额外的自由度 <fi> h </ fi> <sub> <fi>∞</ fi> </ sub> 当预先已知噪声频率范围时的性能。最后，我们通过数字示例演示了我们的方法可以实现比现有方法更小的近似误差。 </ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-27675/'>《Optimal Control Applications and Methods》</a> <b style="margin: 0 2px;">|</b><span>2018年第4期</span><b style="margin: 0 2px;">|</b><span>共18页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=El‐Amrani Abderrahim&option=202" target="_blank" rel="nofollow">El‐Amrani Abderrahim;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Boukili Bensalem&option=202" target="_blank" rel="nofollow">Boukili Bensalem;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=El?Hajjaji Ahmed&option=202" target="_blank" rel="nofollow">El?Hajjaji Ahmed;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Hmamed Abdelaziz&option=202" target="_blank" rel="nofollow">Hmamed Abdelaziz;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>LESSI Lab University Sidi Mohamed Ben AbdellahFaculty of Science Dhar El MehrazB.P. 1796 Fes‐Atlas Morocco;</p> <p>LESSI Lab University Sidi Mohamed Ben AbdellahFaculty of Science Dhar El MehrazB.P. 1796 Fes‐Atlas Morocco;</p> <p>MIS Lab University of Picardie Jules-VernesUFR of Sciences33 rue St?Leu 80000 Amiens France;</p> <p>LESSI Lab University Sidi Mohamed Ben AbdellahFaculty of Science Dhar El MehrazB.P. 1796 Fes‐Atlas Morocco;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1147.html" title="应用数学">应用数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=finite frequency&option=203" rel="nofollow">finite frequency;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=H ∞ performance&option=203" rel="nofollow">H ∞ performance;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=LMI&option=203" rel="nofollow">LMI;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=model reduction&option=203" rel="nofollow">model reduction;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=nonlinear systems&option=203" rel="nofollow">nonlinear systems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Takagi‐Sugeno (T‐S) model&option=203" rel="nofollow">Takagi‐Sugeno (T‐S) model;</a> </p> <div class="translation"> 机译：有限频率;H∞性能;LMI;模型减少;非线性系统;Takagi-Sugeno（T-S）模型; 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class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：Hi = Fi扬声器系统，具有宽频率范围-振膜带有两个扩展的塑料盖，两个线圈架悬挂着活动线圈 </span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130479526150.html">Hi=Fi loudspeaker system with wide frequency range - has diaphragm having two expanded plastics caps with moving coils suspended by two spider mountings</a> <b>[P]</b> . <span> 外国专利：  FR2415408A1 </span> <span> . 1979-08-17</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：Hi = Fi扬声器系统，具有宽频率范围-振膜带有两个扩展的塑料盖，两个线圈架悬挂着活动线圈 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right 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HH ∞∞ model reduction for T‐S fuzzy systems over finite frequency ranges

摘要

HH _∞∞ model reduction for T‐S fuzzy systems over finite frequency ranges