Event-triggered tracking control for switched nonlinear systems

Xiaoxiao Dong; Huan Qiao; Quanmin Zhu; Yufeng Yao; Xiaoxiao Dong; Huan Qiao; Quanmin Zhu; Yufeng Yao

doi:10.3934/mbe.2023627

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 8: 14046-14060. doi: 10.3934/mbe.2023627

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Research article

Event-triggered tracking control for switched nonlinear systems

1.
School of Science, Shenyang University of Technology, Shenyang 110870, China
2.
Department or School of Engineering Design and Mathematics, University of the West of England, Bristol, BS16 1QY, UK
Academic Edior: Yang Kuang

Received: 06 March 2023 Revised: 30 April 2023 Accepted: 21 May 2023 Published: 25 June 2023

In this paper, we study the output tracking control problem based on the event-triggered mechanism for cascade switched nonlinear systems. Firstly, an integral controller based on event-triggered conditions is designed, and the output tracking error of the closed-loop system can converge to a bounded region under the switching signal satisfying the average dwell time. Secondly, it is proved that the proposed minimum inter-event interval always has a positive lower bound and the Zeno behavior is successfully avoided during the sampling process. Finally, the numerical simulation is given to verify the feasibility of the proposed method.
- switched nonlinear systems,
- event-triggered control,
- tracking control,
- Zeno behavior
Citation: Xiaoxiao Dong, Huan Qiao, Quanmin Zhu, Yufeng Yao. Event-triggered tracking control for switched nonlinear systems[J]. Mathematical Biosciences and Engineering, 2023, 20(8): 14046-14060. doi: 10.3934/mbe.2023627

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Abstract

In this paper, we study the output tracking control problem based on the event-triggered mechanism for cascade switched nonlinear systems. Firstly, an integral controller based on event-triggered conditions is designed, and the output tracking error of the closed-loop system can converge to a bounded region under the switching signal satisfying the average dwell time. Secondly, it is proved that the proposed minimum inter-event interval always has a positive lower bound and the Zeno behavior is successfully avoided during the sampling process. Finally, the numerical simulation is given to verify the feasibility of the proposed method.

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