Event-triggered control for nonlinear systems involving hybrid impulses |
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| Institution: | 1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan, 250014, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China;1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China;2. College of Mechanical and Electrical Engineering, Jiaxing University, Jiaxing 314001, China;3. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210096, China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. Customer Success Manager and SME, HeliosIoT Systems Pvt. Ltd., Pune 411008, India;2. Department of Engineering, University of Sannio, Benevento 82100, Italy;3. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;2. Center for Control and Engineering Computation, Shandong Normal University, Ji’nan 250014, PR China |
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| Abstract: | In this paper, we apply event-triggered control to nonlinear systems with impulses, and investigate the problem of ensuring globally exponential stability (GES) of the systems, where events and impulses may occur at different time. Moreover, two types of impulses (i.e., stabilizing and destabilizing) can coexist. On the basis of Lyapunov method and impulsive control theory, some sufficient conditions ensuring GES are derived, and the Zeno behaviour can be excluded. These conditions are presented in the form of linear matrix inequalities (LMI). In particular, inspired by average dwell-time methods, conditions for restriction of impulses are proposed, which guarantee GES of nonlinear systems involving single stabilizing and destabilizing or multiple impulses, respectively. Furthermore, the problem of designing event-triggered mechanism and control gains are solved by using LMI method. Lastly, two numerical simulation examples are given to represent the effectiveness of our results. |
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