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
- 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
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

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.

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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

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