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General state-observer-based strictly dissipative control for linear singular systems
线性广义系统基于一般形式观测器的严格耗散控制

Keywords: linear singular systems,strictly dissipative control,state observer,linear matrix inequality(LMI)
线性广义系统
,严格耗散控制,状态观测器,线性矩阵不等式

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Abstract:

This paper mainly deals with the design of state-observer-based strictly dissipative controllers for linear singular systems, where three coefficient matrices are needed to be designed simultaneously for the state observers. By using the linear matrix inequality(LMI) method, we obtain the existence conditions and design methods for the state observers and the strictly dissipative controllers which guarantee the observers of tracking the system state asymptotically, and ensure the closed-loop singular systems to be admissible and strictly dissipative. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.

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