Stability and robust stabilization of 2-D continuous–discrete systems in Roesser model based on KYP lemma

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• 作者：Lanning Wang ; Weiqun Wang ; Jingbo Gao…
• 关键词：2 ; D systems ; Continuous–discrete systems ; KYP lemma ; Robust stability ; Frequency ; partitioning ; LMIs
• 刊名：Multidimensional Systems and Signal Processing
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：28
• 期：1
• 页码：251-264
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Artificial Intelligence (incl. Robotics);
• 出版者：Springer US
• ISSN：1573-0824
• 卷排序：28

文摘

This paper investigates the problem of stability and robust stabilization of two-dimensional (2-D) continuous–discrete systems in Roesser model. Based on Kalman–Yakubovich–Popov (KYP) lemma, sufficient conditions of stability of the systems are proposed in terms of linear matrix inequalities (LMIs). Moreover, combining generalized KYP lemma with frequency-partitioning idea, the conservativeness of the stability conditions may be further reduced. Robust stabilization using state feedback is studied as well and stabilizing feedback gain matrices are constructed based on the solutions of certain LMIs. In addition, the stability analysis of a class of differential repetitive processes, a special case of 2-D continuous–discrete systems in Roesser model, can adopt the results in this manuscript. Numerical examples are presented to verify the effectiveness of the method.