A partially delay‐dependent and disordered controller design for discrete‐time delayed systems |
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| Authors: | Guoliang Wang Boyu Li Qingling Zhang Chunyu Yang |
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| Affiliation: | 1. School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning, China;2. Institute of Systems Science, Northeastern University, Shenyang, Liaoning, China;3. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, Liaoning, China;4. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu, China |
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| Abstract: | This paper considers the stabilization problem for a class of discrete‐time delayed systems by exploiting a partially delay‐dependent controller whose gains suffer a disordering phenomenon simultaneously. Two stochastic variables are used to describe the partially delay‐dependent and disordering properties, which are not independent, and referred to the original operation modes here. By introducing an augmented Markov chain, the corresponding closed‐loop system is transformed into a Markovian jump system with four new operation modes (NOMs). Based on the proposed model, a kind of controller depending on NOMs is firstly proposed with linear matrix inequalities forms. Moreover, without designing a controller containing NOMs directly, another kind of stabilizing controller referring to one depending on original operation modes is developed, which is composed of a series of NOM‐dependent controllers and satisfies a minimum variance approximation. Finally, two numerical examples are used to demonstrate the utility and superiority of the proposed methods. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | discrete‐time delayed systems partially delay‐dependent controller disordering Markov chain linear matrix inequalities |
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