Fuzzy sliding mode control design of Markovian jump systems with time-varying delay |
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| Authors: | R Sakthivel R Sakthivel V Nithya P Selvaraj OM Kwon |
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| Institution: | 1. Department of Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India;3. School of Electrical Engineering, Chungbuk National University, 1 Chungdae-ro, Cheongju 28644, Republic of Korea |
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| Abstract: | This paper studies the robust stochastic stabilization problem for a class of fuzzy Markovian jump systems with time-varying delay and external disturbances via sliding mode control scheme. Based on the equivalent-input-disturbance (EID) approach, an online disturbance estimator is implemented to reject the unknown disturbance effect on the considered system. Specifically, to obtain exact EID estimation Luenberger fuzzy state observer and a low-pass filter incorporated to the closed-loop system. Moreover, novel fuzzy EID-based sliding mode control law is constructed to ensure the stability of the closed-loop system with satisfactory disturbance rejection performance. By employing Lyapunov stability theory and some integral inequalities, a new set of delay-dependent robust stability conditions is derived in terms of linear matrix inequalities (LMIs). The resulting LMI is used to find the gains of the state-feedback controller and the state observer a for the resulting closed-loop system. At last, numerical simulations based on the single-link arm robot model are provided to illustrate the proposed design technique. |
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| Keywords: | Corresponding authors Department of Mathematics Bharathiar University Coimbatore 641046 India |
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