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控制理论与应用 2010
General state-observer-based strictly dissipative control for linear singular systems
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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.