Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation
Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation
- Author(s): S. Ma ; C. Zhang ; S. Zhu
- DOI: 10.1049/iet-cta.2010.0057
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- Author(s): S. Ma 1 ; C. Zhang 2 ; S. Zhu 1
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View affiliations
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Affiliations:
1: School of Mathematics, Shandong University, Jinan, People's Republic of China
2: School of Control and Engineering, Shandong University, Jinan, People's Republic of China
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Affiliations:
1: School of Mathematics, Shandong University, Jinan, People's Republic of China
- Source:
Volume 5, Issue 2,
20 January 2011,
p.
255 – 262
DOI: 10.1049/iet-cta.2010.0057 , Print ISSN 1751-8644, Online ISSN 1751-8652
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In this study, the robust stochastic stability problem for discrete-time uncertain singular Markov jump systems with actuator saturation is considered. A sufficient condition that guarantees that the discrete-time singular Markov jump systems with actuator saturation is regular, causal and stochastically stable is established. With this condition, for full and partial knowledge of transition probabilities cases, the design of robust state feedback controller is developed based on linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed methods.
Inspec keywords: control system synthesis; uncertain systems; actuators; asymptotic stability; Markov processes; linear matrix inequalities; discrete time systems; state feedback; robust control
Other keywords:
Subjects: Markov processes; Actuating and final control devices; Control system analysis and synthesis methods; Linear algebra (numerical analysis); Discrete control systems; Stability in control theory
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