Mixed H_∞ and passive control for singular systems with time delay via static output feedback

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• 作者：Jian Chen^a ; ^b ; ^{janec@163.com" class="auth_mail" title="E-mail the corresponding author} ; Chong Lin ; ^a ; ^{linchong_2004@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Bing Chen^a ; ^{chenbing1958@126.com" class="auth_mail" title="E-mail the corresponding author} ; Qing-Guo Wang^c ; ^{wangq@uj.ac.za" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Singular system ; Time delay ; Mixed H&infin ; and passive control ; Static output feedback
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：293
• 期：Complete
• 页码：244-253
• 全文大小：454 K

文摘

In this paper, the mixed H_∞ and passive control problem is studied for singular systems with time delay. A sufficient condition is proposed to ensure the considered system to be regular, impulse-free and stable with mixed H_∞ and passivity performance level. Then the criterion is adopted to design a static output feedback controller in terms of bilinear and linear matrix inequalities. An algorithm is established to cast the nonlinear feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods.