Reachable set estimation for discrete-time switched system with application to time-delay system
Corresponding Author
Zhongyang Fei
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China
Correspondence
Zhongyang Fei, Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.
Email: [email protected]
Search for more papers by this authorChaoxu Guan
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China
Search for more papers by this authorPeng Shi
School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia
College of Engineering and Science, Victoria University, Melbourne, Australia
Search for more papers by this authorCorresponding Author
Zhongyang Fei
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China
Correspondence
Zhongyang Fei, Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.
Email: [email protected]
Search for more papers by this authorChaoxu Guan
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, China
Search for more papers by this authorPeng Shi
School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, Australia
College of Engineering and Science, Victoria University, Melbourne, Australia
Search for more papers by this authorSummary
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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