Reachable set synthesis for singular systems with time-varying delay via the adaptive event-triggered scheme |
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| Institution: | 1. College of Control Science and Engineering, Bohai University, Jinzhou, Liaoning 121013, China;2. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China;1. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China;2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210094, PR China;1. School of Automation, China University of Geosciences, Wuhan 430074, PR China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, PR China;3. School of Mathematics and Statistics, Central South University, Changsha 410083, PR China;1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China |
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| Abstract: | This work is concerned with the problem of reachable set synthesis for a class of singular systems with time-varying delay via the adaptive event-triggered scheme. Compared with the static event-triggered mechanism, the adaptive event-triggered mechanism can save the communication resources more effectively. By virtue of Lyapunov stability theory, sufficient conditions are given to guarantee the stability of the closed-loop system and that the reachable set of the resulting system is bounded by the obtained ellipsoid. In addition, by using linear matrix inequality technique and free-weighting matrix method, the weighting matrix of event-triggered condition and proportional-derivative (P-D) feedback controller gains are obtained. The effectiveness and superiority of the developed control approach are substantiated by a numerical example and two practical examples. |
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