Reachable set estimation for discrete‐time switched system with application to time‐delay system |
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| Authors: | Zhongyang Fei Chaoxu Guan Peng Shi |
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| Affiliation: | 1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia;3. College of Engineering and Science, Victoria University, Melbourne, Australia |
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| Abstract: | This paper addresses the problem of reachable set estimation and synthesis for a class of discrete‐time switched linear systems with time delay and bounded peak disturbance. Combined with the feature of mode‐dependent average dwell time switching, a new algorithm is developed to estimate the reachable set of switched system, which is both quasi‐time‐dependent and mode‐dependent. Then, the proposed method is applied to time‐delay system and a sufficient condition is presented to guarantee the asymptotic stability and estimate the bounding ellipsoid. Furthermore, the quasi‐time‐dependent controller is designed to stabilize the system and restrict the closed‐loop system states to an ellipsoidal bound. Examples are presented to illustrate the effectiveness and advantages of the obtained theorems. |
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| Keywords: | discrete‐time switched system mode‐dependent average dwell time reachable set estimation time delay |
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