Robust sliding mode control for uncertain discrete singular systems with time-varying delays and external disturbances

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• 作者：Yueqiao Han^a ; ^{415778808@qq.com}Author Vitae ; Yonggui Kao^b ; ^{ygkao@hitwh.edu.cn}Author Vitae ; Cunchen Gao^c ; ^{ccgao123@163.com}Author Vitae
• 关键词：Robust SMC ; Admissibility ; Discrete singular systems ; Time-varying delays ; Uncertain systems
• 刊名：Automatica
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：75
• 期：Complete
• 页码：210-216
• 全文大小：580 K
• 卷排序：75

文摘

In this paper, a sliding mode control (SMC) of uncertain discrete singular systems with external disturbances and time-varying delays is under consideration. By use of the free weighting matrices and the Lyapunov–Krasovskii functional, a delay-dependent sufficient condition is given in strict linear matrix inequality (LMI) format to guarantee the sliding mode dynamics to be admissible (regular, causal and stable). Furthermore, a proposed SMC law and an adaptive SMC law are synthesized to make sure that the trajectories of system can be driven to a region near equilibrium point in finite time. Finally, a numerical example is designed to display the effectiveness of the control scheme. All these results are expected to propose a new approach for the research on SMC of discrete time-delay singular systems.