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离散奇异时滞系统时滞依赖稳定性分析与镇定(英文)

Delay-dependent Stability Analysis and Stabilization of Discrete-time Singular Delay Systems

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【Author】 SUN Xin 1, 2, 3 ZHANG Qing-Ling 1, 2 YANG Chun-Yu 2 SHAO Yong-Yun 3, 4 SU Zhan 1, 21. Institute of Systems Science, Northeastern University, Shenyang 110004, P. R. China 2. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P. R. China 3. Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, P. R. China 4. Transportation Management College, Dalian Maritime University, Dalian 116026, P. R. China

【机构】 Institute of Systems Science, Northeastern University(Shenyang)； Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University； Department of Computer and Mathematics Teaching, Shenyang Normal University； Transportation Management College, Dalian Maritime University；

【摘要】 In this paper, delay-dependent stability analysis and stabilization of discrete-time singular delay systems are addressed, respectively. First, a new delay-dependent sufficient condition of admissibility for discrete-time singular delay systems is derived. The proposed method is proved to have some advantages over the existing results. Then, by applying the skill of matrix theory, a state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be admissible. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.更多还原

【Abstract】 In this paper, delay-dependent stability analysis and stabilization of discrete-time singular delay systems are addressed, respectively. First, a new delay-dependent sufficient condition of admissibility for discrete-time singular delay systems is derived. The proposed method is proved to have some advantages over the existing results. Then, by applying the skill of matrix theory, a state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be admissible. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.更多还原

【关键词】 Discrete-time singular delay systems； delaydependent stability； stabilization； admissible； state feedback control；
【Key words】 Discrete-time singular delay systems； delaydependent stability； stabilization； admissible； state feedback control；

【基金】 Supported by National Natural Science Foundation of China(60904009, 60974004)

【文献出处】自动化学报 ,Acta Automatica Sinica , 编辑部邮箱 ,2010年10期

【分类号】TP11
【被引频次】7
【下载频次】162

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