Sliding Mode Control of a Class of Hybrid-Switched Systems with Disturbances

Jiaojiao Li, Yingying Wang () and Jianyu Zhang
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Jiaojiao Li: School of Science, Shenyang University of Technology, Shenyang 110870, China
Yingying Wang: School of Science, Shenyang University of Technology, Shenyang 110870, China
Jianyu Zhang: School of Science, Shenyang University of Technology, Shenyang 110870, China

Mathematics, 2024, vol. 12, issue 12, 1-11

Abstract: This paper investigates the problem of sliding mode control for a class of hybrid switched systems with matching disturbances. Firstly, a sliding mode surface is designed, and the corresponding sliding mode equation for the switched system is derived. Then, we analyzed the stability of the sliding mode equation using the Lyapunov function and average dwell time. Moreover, a sliding mode control law is designed with the approach law method to drive the system state to a bounded sliding mode region and then maintain it there subsequently. Finally, an illustrative example is given to demonstrate the efficiency of the approach.

Keywords: sliding mode control; exponential stability; average dwell time; switched systems; disturbances (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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