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Model-based event-triggered control of switched discrete-time systems
Institution:1. Hubei Key Laboratory for High-efficiency Utilization of Solar Energy and Operation Control of Energy Storage System, Hubei University of Technology, Wuhan 430068 Hubei, China;2. State Key Laboratory of Industrial Control Technology, College of Control Science & Engineering, Zhejiang University, Hangzhou 310027, China;3. Xi''an Modern Control Technology Research Institute, Xi''an, Shanxi 710065, China;4. The First Research Institute of China Aerospace Science and Technology Corporation, Beijing 100076, China;1. Department of Civil Engineering, Birjand University of Technology, P.O. Box 97175-569, Birjand, Iran;2. Department of Electrical Engineering, Technical and Vocational University (TVU), Tehran, Iran;3. Independent researchers, Birjand, Iran;1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;2. Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313000, China;3. Navigation college, Dalian Maritime University, Dalian 116026, China
Abstract:In this paper, we aim to study model-based event-triggered control for a class of uncertain switched discrete-time systems composed of stabilizable and unstabilizable subsystems. A nominal model is introduced at the controller side to form a dynamic controller so that it can provide a kind of approximate estimate of the system state for system input even the overall switched discrete-time system is running in open-loop during any two consecutive event-triggered instants. By using multi-Lyapunov function method and the average dwell time switching strategy, stability conditions given in linear matrix inequality form for the closed-loop switched discrete-time system are derived. The design of control gains is also given. Finally, a numerical example and a physical example are provided to verify the effectiveness and usefulness of the proposed method.
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