Stability and l2-gain analysis for a class of discrete-time non-linear Markovian jump systems with actuator saturation and incomplete knowledge of transition probabilities
Stability and l2-gain analysis for a class of discrete-time non-linear Markovian jump systems with actuator saturation and incomplete knowledge of transition probabilities
- Author(s): G. Song ; Y. Zhang ; S. Xu
- DOI: 10.1049/iet-cta.2012.0101
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- Author(s): G. Song 1 ; Y. Zhang 1 ; S. Xu 1
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Affiliations:
1: School of Automation, Nanjing University of Science and Technology, Nanjing, People's Republic of China
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Affiliations:
1: School of Automation, Nanjing University of Science and Technology, Nanjing, People's Republic of China
- Source:
Volume 6, Issue 17,
15 November 2012,
p.
2716 – 2723
DOI: 10.1049/iet-cta.2012.0101 , Print ISSN 1751-8644, Online ISSN 1751-8652
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© The Institution of Engineering and Technology
Published
This study deals with the control problems of a class of discrete-time non-linear Markovian jump systems subject to saturating actuators and incomplete knowledge of transition probabilities. Modal non-linearities satisfying sector conditions are taken into consideration. Sufficient conditions that guarantee the closed-loop system to be locally stochastically stable are given. The linear matrix inequality (LMI) approach is used to analyse the closed-loop plant stability and l2-gain. Conditions in terms of LMIs are provided for obtaining an l2-gain as small as possible. A simulation example is given to illustrate the effectiveness of the proposed method.
Inspec keywords: Markov processes; stochastic systems; stability; linear matrix inequalities; actuators; closed loop systems; discrete time systems; nonlinear control systems
Other keywords:
Subjects: Discrete control systems; Algebra; Nonlinear control systems; Markov processes; Time-varying control systems; Stability in control theory
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