Stabilization of discrete-time semi-Markov jump singularly perturbed systems subject to actuator saturation and partially known semi-Markov kernel information |
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| Institution: | 1. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243032, China;2. School of Mathematics and Physics, Anhui University of Technology, Ma’anshan 243032, China;1. The Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China;2. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, Dalian University of Technology, Dalian, 116024, China;3. School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China;1. Customer Success Manager and SME, HeliosIoT Systems Pvt. Ltd., Pune 411008, India;2. Department of Engineering, University of Sannio, Benevento 82100, Italy;3. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;1. School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China;2. College of Information Science and Technology, Donghua University, Shanghai 201620, China;1. School of Mathematics, Southeast University, Nanjing 210096, China;2. School of Computer Science and Technology, Anhui University of Technology, Ma’anshan 243002, China;3. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;4. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China;5. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China;1. School of Computer Science and Technology, Anhui University of Technology, Ma’anshan 243002, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;4. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China |
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| Abstract: | In this paper, the stabilization issue is investigated for a family of discrete-time semi-Markov jump singularly perturbed systems (S-MJSPSs) subject to actuator saturation. The information of the semi-Markov kernel (SMK) is considered as partly known on account of that it is laborious to obtain the complete one in practice. With the consideration of the actuator saturation existing in virtually all practical applications, the convex hull approach is adopted to tackle this obstacle. Meanwhile, a unified controller design technique is presented to stabilize the underlying system irrespective of whether the fast state can be detected. Based on Lyapunov stability theory and SMK approach, some sufficient conditions guaranteeing the S-MJSPSs is mean-square (MS) stable are derived. Finally, the correctness and the validity of the presented control strategy are validated by a numerical example. |
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