Observer design for discrete-time descriptor systems: An LMI approach

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• 作者：Zhenhua Wang ; ^{zhwang1987@gmail.com} ; Yi Shen ; Xiaolei Zhang ; Qiang Wang
• 关键词：Descriptor systems ; Discrete-time systems ; Observer ; Nonlinear systems ; Linear matrix inequality
• 刊名：Systems and Control Letters
• 出版年：2012
• 期刊代码：171_01676911
• 类别：et
• 出版时间：June, 2012
• 卷：61
• 期：6
• 页码：683-687
• 文件大小：343 K

摘要

In this paper, the observer design problem for discrete-time descriptor systems is considered. For the discrete-time linear descriptor systems, the necessary and sufficient conditions for the existence and convergence of the proposed observer are given and proved, and a systemic design approach is presented via the linear matrix inequalities formulation. Furthermore, an extension to a class of nonlinear descriptor systems with Lipschitz constraints is investigated. Simulation examples are given to illustrate the estimation performance of the proposed method.