Stability analysis for nonlinear switched singular systems via T-S fuzzy modeling |
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| Institution: | 1. School of Electrical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China;2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China;3. Center for Interdisciplinary Information Science Research, Zhengzhou University, Zhengzhou 450001, China;4. School of Electrical, Computer and Telecommunications Engineering, University of Wollongong, Wollongong, NSW 2522, Australia;1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, China;2. College of Science, China Three Gorges University, Yichang 443002, China;3. Centre of New Energy Systems, Department of Electrical, Electronics and Computer Engineering, University of Pretoria, Pretoria, South Africa;1. Institute of Automation, Qufu Normal University, Qufu 273165, PR China;2. School of Engineering, Qufu Normal University, Rizhao 276826, PR China;1. School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China;2. Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China;3. School of Automation Science and Electrical Engineering, Beihang University (BUAA), Beijing, China;1. Electrical Engineering Department, Faculty of Engineering, Cairo university, Egypt;2. Department of Mechatronics, Faculty of Engineering, Autonomous University Carmen, Cd. del Carmen 24180, Mexico;3. Departamento de Control Automatico, CINVESTAV, A.P. 14-740, Mexico D.F. CP 07000, Mexico;1. College of Electrical and Information Engineering, Hunan University, 410082, China;2. Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka, Japan |
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| Abstract: | The stability for discrete nonlinear switched singular systems with unstable subsystems is investigated. First, by constructing an appropriate multiple discontinuous Lyapunov function, and utilizing the characteristics of mode-dependent average dwell time switching signals, new stability results for nonlinear switched singular system are established. Then, we adopt the T-S fuzzy modeling method to approximate the nonlinear switched singular systems and get general stability conditions in forms of linear matrix inequalities. Compared to the current results, our technique is more flexible and we also get tighter dwell time boundaries. Furthermore, a numerical example demonstrates the effectiveness of the proposed method. |
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