Observer-based finite-time asynchronous sliding mode control for Markov jump systems with time-varying delay |
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| Institution: | 1. The Department of College of Information Science and Engineering, Northeastern University, Shenyang 110819, China;2. The state Key Laboratory of Synthetical Automation for Process Industries, Shenyang, China;1. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China;2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin 150080, China;3. School of Automation, Harbin University of Science and Technology, Harbin 150080, China;4. School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, China;1. School of Automation, Central South University, Changsha 410083, China;2. Peng Cheng Laboratory, Shenzhen 518000, China;3. Texas A&M University at Qatar, Doha PO Box 23874, Qatar |
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| Abstract: | The issue of finite-time sliding mode control (SMC) is studied for a class of Markov jump systems, in which parameter uncertainties, external disturbances and time-varying delay are considered. Firstly, a suitable observer-based SMC law is devised so that state trajectory of the system can reach the designed sliding mode surface in finite-time, the gain of the controller is asynchronous to the mode of original system. Meanwhile, the sufficient conditions of finite-time boundedness in the sliding phase and reaching phase are derived by the time partition strategy. Moreover, the gains of the observer and the observer-based controller will be acquired by using the linear matrix inequalities tool. In fine, emulation products are used to confirm the merits of the SMC strategy. |
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