Passivity and feedback passification of switched discrete-time linear systems |
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Authors: | Jiao Li Jun Zhao |
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Affiliation: | 1. State Key Laboratory of Synthetical Automation for Process Industries, College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China;2. College of Science, Hebei North University, Hebei 075000, China |
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Abstract: | This paper focuses on the passivity analysis and feedback passification for switched discrete-time linear systems using multiple storage functions under a certain switching law. Controllers and switching laws are designed based on complete and partial state measurements, respectively. Conditions for strict passivity of a switched discrete-time system are obtained without the requirement of strict passivity of subsystems. In the case of partial state measurements, dynamic output feedback controllers for subsystems are designed, and a switching law depending only on the state of the output feedback controllers is constructed to guarantee strict passivity of the closed-loop switched system. Finally, a numerical example is provided to demonstrate the feasibility of the theoretical results. |
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Keywords: | Switched discrete-time systems Switching law Feedback passification Multiple storage functions State feedback Dynamic output feedback |
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