Robust reliable H_∞ control for fuzzy systems with random delays and linear fractional uncertainties

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• 作者：R. Sakthivel^a ; ^{krsakthivel@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Peng Shi^b ; ^c ; A. Arunkumar^d ; K. Mathiyalagan^d
• 关键词：Fuzzy system ; Random time-varying delay ; Actuators fault ; Reliability ; H&infin ; H&infin ; control
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：302
• 期：Complete
• 页码：65-81
• 全文大小：480 K

文摘

This article studies the reliable robust stabilization problem for a class of uncertain Takagi–Sugeno (TS) fuzzy systems with time-varying delays. The delay factor is assumed to be random delay which belongs to a given interval and parameter uncertainties are considered with linear fractional transformation form. By implementing a proper novel Lyapunov functional together with linear matrix inequality (LMI) approach, a new set of delay-dependent sufficient conditions is derived to guarantee the asymptotic stability of TS fuzzy system with a prescribed H_∞$H_{\infty }$ performance index. Further, a reliable robust H_∞$H_{\infty }$ control design with an appropriate gain matrix has been derived to achieve the robust asymptotic stability for uncertain TS fuzzy system. Further, Schur complement and Jensen's integral inequality are used to simplify the derivation in the main results. The set of sufficient conditions is established using the relationship among the random time-varying delay and its lower and upper bounds, which can be easily solved by MATLAB LMI toolbox. Finally, an illustrative example based on the truck-trailer model is provided to show the effectiveness of the proposed new design technique.