Non-fragile finite-time sliding mode control for Markovian jump systems with randomly occurring uncertainties and controller gain variations |
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| Institution: | 1. Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences, 61 Bolshoy Prospekt V.O., St. Petersburg 199178, Russia;2. Gubkin University, 65 Leninsky Prospekt, Moscow 119991, Russia;1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan, PR China;2. Department of Electrical and Computer Engineering, The University of Auckland, Auckland 1142, New Zealand;3. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, Guangxi, PR China;4. School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan, PR China;1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China;2. Beijing Advanced Innovation Center for Intelligent Robots and Systems, Beijing Institute of Technology, China;3. Key Laboratory of Vehicle Advanced Manufacturing, Measuring and Control Technology (Beijing Jiaotong University), Ministry of Education, China |
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| Abstract: | This paper considers the sliding mode control (SMC) problem of a class of uncertain Markovian jump systems, in which there exist randomly occurring parameter uncertainties and random gain variations in the controller. By introducing two independent random variables obeying Bernoulli distribution, the random characteristics of parameter uncertainties and controller gain variations are described. A mode-dependent sliding surface is constructed, and then, the non-fragile SMC scheme is synthesized such that the specified sliding surface is reached in finite time. Furthermore, the stochastic finite-time boundedness over both the reaching and sliding stages are ensured simultaneously under some sufficient conditions. Finally, the developed non-fragile SMC approach is verified by a practical example. |
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