Observer‐based tracking control for switched stochastic systems based on a hybrid 2‐D model |
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Authors: | Sakthivel Rathinasamy Hamid Reza Karimi Raajananthini K P Selvaraj Yong Ren |
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Affiliation: | 1. Department of Mathematics, Bharathiar University, Coimbatore 641046, India;2. Department of Mathematics, Sungkyunkwan University, Suwon 440‐746, South Korea;3. Department of Mechanical Engineering, Politecnico di Milano, 20156 Milan, Italy;4. Department of Mathematics, Anna University Regional‐ Campus, Coimbatore 641046, India;5. Department of Mathematics, Anhui Normal University, Wuhu 241000, China |
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Abstract: | This paper is concerned with the observer‐based output tracking problem for a class of linear switched stochastic systems with time delay and disturbance by using repetitive control approach. More precisely, a two‐dimensional hybrid model is incorporated to obtain and optimize the repetitive controller. In particular, the repetitive controller is used to improve the tracking performance through its continuous learning actions. In addition, an equivalent‐input‐disturbance estimator is incorporated into the repetitive control design approach to reduce the effect of the external disturbances. The main aim of the control design is to track the periodic reference signal with the measured output of the system under consideration even in the presence of an unknown bounded disturbance. By constructing a suitable Lyapunov‐Krasovskii functional and using average dwell time approach and Jensen inequality, sufficient conditions are obtained in terms of linear matrix inequalities to guarantee the mean‐square exponential stability of the considered system. Eventually, a numerical example is provided to demonstrate the effectiveness of the developed method. |
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Keywords: | equivalent‐input‐disturbance approach hybrid 2‐D model repetitive controller switched stochastic systems |
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