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Lookup NU author(s): Dr Wanqing ZhaoORCiD
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© IMechE 2024.In this article, the mean square finite-time (Formula presented.) control problems of two types of Markov jump linear system with multiple equilibria are investigated. To be specific, Markov jump linear system with multiple equilibria in discrete-time domain and continuous-time domain are considered, respectively, in which the equilibria of subsystems are different. First, an average equilibrium is introduced to equivalently reformulate the initial system expressions. Following this method, some sufficient conditions guaranteeing that Markov jump linear system with multiple equilibria subjected to norm bounded disturbance is mean square finite-time boundedness are proposed, and the results are extended to (Formula presented.) mean square finite-time boundedness. Then, mean square finite-time (Formula presented.) controllers are designed separately to stabilize the two types of Markov jump linear system with multiple equilibria and also achieve the prescribed (Formula presented.) performance index. The proposed methods in this article are a natural generalization of typical results in Markov jump linear system sharing common equilibrium. Finally, two numerical examples are exploited to demonstrate the effectiveness of the methods proposed in this article.
Author(s): Gao W, Song Y, Liu Y, Zhao W
Publication type: Article
Publication status: Published
Journal: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering
Year: 2024
Pages: epub ahead of print
Online publication date: 21/02/2024
Acceptance date: 02/01/2024
ISSN (print): 0959-6518
ISSN (electronic): 2041-3041
Publisher: SAGE Publications Ltd
URL: https://doi.org/10.1177/09596518241227497
DOI: 10.1177/09596518241227497
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