Robust control design for delayed periodic piecewise time-varying systems with actuator faults |
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| Institution: | 1. Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India;2. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;1. School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea;2. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641 046, India;2. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;3. Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, South Korea;4. School of Basic Sciences, Indian Institute of Technology Mandi, Kamand, Himachal Pradesh 175 005, India;1. School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea;2. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440746, South Korea;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;1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. School of Mathematics and Statistics, Anhui Normal University, Wuhu, Anhui 241000, PR China;3. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, PR China |
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| Abstract: | This paper is mainly focused on the stabilization problem of uncertain delayed periodic piecewise time-varying systems inclusive of disturbances and faults in actuators. More specifically, the considered system is encompassed of periodic dynamics, which exhibits the nature of switched systems with fixed switching sequence and dwell time. The control protocol is configured in the form of both the present and past state information of the addressed system with passive performance. Moreover, the proposed control approach discloses the stabilization issue mainly by resolving the effect of faults in actuator components. Precisely, the desired periodic gain matrices of the developed controller are calculated by way of solving some matrix inequalities which are derived by making use of Lyapunov stability theory and matrix polynomial approach. As a result, the asymptotic stability of the considered system is ensured in conjunction with satisfied disturbance attenuation index. Conclusively, the simulation results of two numerical examples including mass-spring damping system are presented for validating the theoretical result. |
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