Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays |
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| Authors: | Bin Liu David John Hill Changfan Zhang Zhijie Sun |
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| Institution: | 1.Department of Information and Computing Science,Hunan University of Technology,Zhuzhou,China;2.Department of Electrical and Electronic Engineering,The University of Hong Kong,Hong Kong,China;3.School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou,China;4.Mork Family Department of Chemical Engineering and Materials Science, Viterbi School of Engineering,University of Southern California,Los Angeles,USA |
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| Abstract: | This paper investigates the issue of stabilization for discrete-time dynamical systems (DDS) by event-triggered impulsive control (ETIC). Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration. |
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