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Abstract
Finite-time event-triggered control problem for switched affine systems with time-varying delay is investigated in this paper. A dynamical event-triggered scheme with multiple parameter matrices is proposed to avoid the waste of communication resources, which is more general than some existing event-triggered schemes with a common parameter matrix. By applying the proposed event-triggered scheme, a state-dependent switching signal and a state feedback controller are designed. By utilising an appropriate Lyapunov–Krasovskii functional and Metzler matrices, sufficient conditions for the existence of controller gains are firstly proposed such that the closed-loop system is finite-time bounded with finite-time disturbance attenuation performance. It is also proved that there is a lower bound between two adjacent triggers, i.e. Zeno phenomenon can be avoided. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.
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No potential conflict of interest was reported by the author(s).
Data availability statement
The data that support the findings of this study are openly available in [repository name, e.g. figshare] at http://doi.org/[doi], reference number [reference number].
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Notes on contributors
Hongsheng Hu
Hongsheng Hu was born in Anhui Province, China, in 1994. He received the B.S. degree in the Electrical Engineering and its Automation from Huainan Normal University, China, 2018. He is currently a candidate for an M.S. at the Wenzhou University. His research interests include switched systems, robust control and intelligent control.
Shipei Huang
Shipei Huang received the Ph.D. degree in Control Theory and Control Engineering from Nanjing University of Science and Technology, China, in 2017. He is currently a lecturer at Wenzhou University, China. He has published over 20 journal and conference papers. His research interests include nonlinear systems, switched systems and two-dimensional systems.
Hui Wu
Hui Wu was born in Anhui Province, China, in 1997. She received the B.S. degree in the Electrical Engineering and its Automation from Fuyang Normal University, China, 2019. She is currently a candidate for an M.S. at the Wenzhou University. Her research interests include switched systems, nonlinear switched systems and Event-triggered control.