Switching strategy in tracking constant references for linear time-varying delay systems with actuator failures |
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| Authors: | Qing-Kui Li Georgi M Dimirovski Jun Fu Jiuhe Wang |
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| Affiliation: | 1. Department of Control Engineering, School of Automation, Beijing Information Science and Technology University , Beijing, P.R. China sdlqk01@126.com sdlqk01@bistu.edu.cn;3. Department of Computer Engineering, Dogus University , Istanbul, Turkey;4. School FEIT, SS Cyril and Methodius University , Skopje, Republic of Macedonia;5. State Key Laboratory of Synthetical Automation for Process Industry, Northeastern University , Shenyang, P.R. China;6. Department of Control Engineering, School of Automation, Beijing Information Science and Technology University , Beijing, P.R. China |
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| Abstract: | Tracking of command constant references is a tracking control problem of fundamental importance. This problem for linear time-varying delay systems in the presence of actuator failures is solved in this article. The linear time-varying delay system with actuator failures is modelled as a switched linear time-varying delay system by utilising switching systems theory and a suitable control scheme. The polytopic technique is employed in order to cope with the time-varying, delay-derivative term in case its absolute value might exceed one. On the grounds of the average dwell-time approach, a switching tracking control law that is immune to actuator failures is designed and the conditions are derived such that the output of the linear time-varying delay system tracks given constant command references. Two illustrative examples along with the respective numerical and simulation results are presented to demonstrate the effectiveness of the proposed method. |
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| Keywords: | Tracking control time-varying delay switching systems polytopic technique |
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