Quasi‐Time‐Dependent
Controller for Discrete‐Time Switched Linear Systems With Mode‐Dependent Average Dwell‐Time |
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Authors: | Hui Zheng Guanghui Sun Yu Ren Congcong Tian |
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Affiliation: | School of Astronautics, Harbin Institute of Technology, Harbin, China |
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Abstract: | This paper is concerned with the stability and stabilization problem of a class of discrete‐time switched systems with mode‐dependent average dwell time (MDADT). A novel Lyapunov function, which is both mode‐dependent (MD) and quasi‐time‐dependent (QTD), is established. The new established Lyapunov function is allowed to increase at some certain time instants. A QTD controller is designed such that the system is globally uniformly asymptotically stable (GUAS) and has a guaranteed performance index. The new QTD robust controller designed in this paper is less conservative than the mode independent one which is frequently considered in literatures. Finally, a numerical example and a practical example are provided to illustrate the effectiveness of the developed results. ![urn:x-wiley:asjc:media:asjc1568:asjc1568-math-0006](//wol-prod-cdn.literatumonline.com/cms/attachment/278e81f4-0a47-449a-9138-c2a03d494895/asjc1568-math-0006.png) |
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Keywords: | Quasi‐time‐dependent MDADT controller mode‐dependent discrete‐time |
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