Quantized asynchronous extended dissipative observer-based sliding mode control for Markovian jump TS fuzzy systems |
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| Institution: | 1. College of Engineering University of Hail Po.Box 2440, Hail, Kingdom of Saudi Arabia;2. National School of Engineering of Sfax, University of Sfax, Lab-STA, LR11ES50, 3038, Sfax, Tunisia;3. Modeling, Information, and Systems Laboratory, University of Picardie Jules Verne, UFR of Sciences, 33 Rue St Leu Amiens 80000, France;1. College of Energy and Electrical Engineering, Hohai University, Nanjing 210098, China;2. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin, China;2. Department of Electronic and Information Engineering, College of Engineering, Shantou University, Shantou, China;1. Department of Electrical Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran;2. Department of Mechanical and Industrial Engineering, Norwegian University of Science and Technology, Trondheim, Norway |
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| Abstract: | This article is dedicated to the issue of asynchronous adaptive observer-based sliding mode control for a class of nonlinear stochastic switching systems with Markovian switching. The system under examination is subject to matched uncertainties, external disturbances, and quantized outputs and is described by a TS fuzzy stochastic switching model with a Markovian process. A quantized sliding mode observer is designed, as are two modes-dependent fuzzy switching surfaces for the error and estimated systems, based on a mode dependent logarithmic quantizer. The Lyapunov approach is employed to establish sufficient conditions for sliding mode dynamics to be robust mean square stable with extended dissipativity. Moreover, with the decoupling matrix procedure, a new linear matrix inequality-based criterion is investigated to synthesize the controller and observer gains. The adaptive control technique is used to synthesize asynchronous sliding mode controllers for error and SMO systems, respectively, so as to ensure that the pre-designed sliding surfaces can be reached, and the closed-loop system can perform robustly despite uncertainties and signal quantization error.Finally, simulation results on a one-link arm robot system are provided to show potential applications as well as validate the effectiveness of the proposed scheme. |
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