Event-triggered sliding mode control for a class of uncertain switching systems

Jiaojiao Li; Yingying Wang; Jianyu Zhang; Jiaojiao Li; Yingying Wang; Jianyu Zhang

doi:10.3934/math.20231506

AIMS Mathematics

2023, Volume 8, Issue 12: 29424-29439. doi: 10.3934/math.20231506

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Research article

Event-triggered sliding mode control for a class of uncertain switching systems

School of science, Shenyang University of Technology, Shenyang 110870, China

Received: 14 August 2023 Revised: 22 October 2023 Accepted: 26 October 2023 Published: 30 October 2023
MSC : 93B12, 93C10, 93C55, 93D23

We discuss the problem of event-triggered sliding mode control for a class of uncertain switched systems. First, through the pre-designed sliding mode surface, the corresponding sliding mode dynamics of the switched system are obtained. Second, based on the Lyapunov function technique and average dwell time strategy, the exponential stability of the correlated sliding mode dynamics is analyzed. Then, a sliding mode control law is designed by using the event-triggered mechanism, which can drive the state trajectories of the uncertain switched system to the bounded sliding mode region and maintain it there for subsequent time. Finally, a simulation example is given to verify the effectiveness of the proposed method.
- event-triggered control,
- sliding mode control,
- switched systems,
- average dwell time,
- exponential stability
Citation: Jiaojiao Li, Yingying Wang, Jianyu Zhang. Event-triggered sliding mode control for a class of uncertain switching systems[J]. AIMS Mathematics, 2023, 8(12): 29424-29439. doi: 10.3934/math.20231506

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Abstract

We discuss the problem of event-triggered sliding mode control for a class of uncertain switched systems. First, through the pre-designed sliding mode surface, the corresponding sliding mode dynamics of the switched system are obtained. Second, based on the Lyapunov function technique and average dwell time strategy, the exponential stability of the correlated sliding mode dynamics is analyzed. Then, a sliding mode control law is designed by using the event-triggered mechanism, which can drive the state trajectories of the uncertain switched system to the bounded sliding mode region and maintain it there for subsequent time. Finally, a simulation example is given to verify the effectiveness of the proposed method.

References

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