Stabilization of switched delay systems with polytopic uncertainties under asynchronous switching |
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| Authors: | Rui Wang Peng Shi Zhi-Gang Wu Ying-Tao Sun |
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| Institution: | 1. School of Aeronautics and Astronautics, State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia;3. College of Engineering and Science, Victoria University, Melbourne, 8001 Vic, Australia;4. Research Center of Information and Control, Dalian University of Technology, Dalian, 116024, China |
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| Abstract: | In this paper, the problem of stabilization for a class of switched delay systems with polytopic type uncertainties under asynchronous switching is investigated. When the switching of the controllers has a lag to the switching of subsystems, i.e. the switching signal of the switched controller involves delay, parameter-dependent Lyapunov functionals are constructed, which are allowed to increase during the running time of active subsystems with the mismatched controller. Based on the average dwell time method, sufficient conditions for exponential stability are developed for a class of switching signals. Finally, a river pollution control problem is given to demonstrate the feasibility and effectiveness of the proposed design techniques. |
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