Improvements on PDC Controller Design for Takagi-Sugeno Fuzzy Systems with State Time-Varying Delays

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• 作者：Fayç ; al Bourahala^* ; ^** ; ^{bourahala1981@yahoo.fr" class="auth_mail" title="E-mail the corresponding author} ; Kevin Guelton^** ; ^{kevin.guelton@univ-reims.fr" class="auth_mail" title="E-mail the corresponding author} ; Farid Khaber^* ; ^{jfkhaber@yahoo.fr" class="auth_mail" title="E-mail the corresponding author} ; Noureddine Manamanni^** ; ^{noureddine.manamanni@univ-reims.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Takagi-Sugeno fuzzy model ; Time varying delays ; Lyapunov-Krasovskii functional ; Delay-dependent conditions ; Linear matrix inequalities
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：5
• 页码：200-205
• 全文大小：1732 K

文摘

This paper deals with the controller design for a class of T-S fuzzy model with state time-varying delays. By choosing a convenient augmented Lyapunov-Krasovskii functional and employing a Parallel Distributed Compensation (PDC) control law including both memoryless and delayed state feedback, new delay dependent sufficient conditions for the stabilization of T–S fuzzy model with time-varying delay are derived in terms of linear matrix inequalities (LMIs). By taking into account the bounds of the time varying delays and its maximal rate of variation, the proposed LMI-based conditions guarantee the closed-loop asymptotic stability of the considered class of delayed T-S fuzzy systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed controller design methodology and the conservatism improvement regarding to previous results.