Energy-to-peak control for switched systems with PDT switching

Jingjing Dong; Xiaofeng Ma; Lanlan He; Xin Huang; Jianping Zhou; Jingjing Dong; Xiaofeng Ma; Lanlan He; Xin Huang; Jianping Zhou

doi:10.3934/era.2023268

Electronic Research Archive

2023, Volume 31, Issue 9: 5267-5285. doi: 10.3934/era.2023268

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Research article

Energy-to-peak control for switched systems with PDT switching

1.
School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China
2.
Institute of Automation, Jiangnan University, Wuxi 214122, China

Received: 06 June 2023 Revised: 16 July 2023 Accepted: 17 July 2023 Published: 24 July 2023

This paper investigates the issue of energy-to-peak control for continuous-time switched systems. A generalized switching signal, known as persistent dwell-time switching, is considered. Two different strategies for state-feedback controller design are proposed, using distinct Lyapunov functions and a few decoupling techniques. The critical distinction between these two strategies lies in their temporal characteristics: one is time-independent, while the other is quasi-time-dependent. Compared to the former, the latter has the potential to be less conservative. The validity of the proposed design strategies is demonstrated through an example.
- switched systems,
- persistent dwell time,
- energy-to-peak control
Citation: Jingjing Dong, Xiaofeng Ma, Lanlan He, Xin Huang, Jianping Zhou. Energy-to-peak control for switched systems with PDT switching[J]. Electronic Research Archive, 2023, 31(9): 5267-5285. doi: 10.3934/era.2023268

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Abstract

This paper investigates the issue of energy-to-peak control for continuous-time switched systems. A generalized switching signal, known as persistent dwell-time switching, is considered. Two different strategies for state-feedback controller design are proposed, using distinct Lyapunov functions and a few decoupling techniques. The critical distinction between these two strategies lies in their temporal characteristics: one is time-independent, while the other is quasi-time-dependent. Compared to the former, the latter has the potential to be less conservative. The validity of the proposed design strategies is demonstrated through an example.

References

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