Robust control for Markovian jump delta operator systems with actuator saturation

In this paper, robust stochastic stabilization problems for uncertain Markovian jump linear delta operator systems with actuator saturation are considered. The definition of the domain of attraction for a Markovian jump delta operator system in mean square sense is introduced to analyze the stochast...

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Published inEuropean journal of control Vol. 20; no. 4; pp. 207 - 215
Main Authors Yang, Hongjiu, Li, Hongbo, Sun, Fuchun, Yuan, Yuan
Format Journal Article
LanguageEnglish
Published Philadelphia Elsevier Ltd 01.07.2014
Elsevier Limited
Subjects
Actuator saturation
Controllers
Delta operator system
Design
Euclidean space
Inequality
Linear matrix inequality
Markovian jump system
Robust control
Science
Signal processing
Robust control
Linear matrix inequality
Markovian jump system
Actuator saturation
Delta operator system
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ISSN0947-3580
1435-5671
DOI10.1016/j.ejcon.2014.04.004

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Summary:In this paper, robust stochastic stabilization problems for uncertain Markovian jump linear delta operator systems with actuator saturation are considered. The definition of the domain of attraction for a Markovian jump delta operator system in mean square sense is introduced to analyze the stochastic stability of the closed-loop system. By using a stochastic Lyapunov function which is dependent on the jump mode, design procedures for a mode-dependent state feedback controller are developed based on linear matrix inequality approach. A mode-independent state feedback controller is also designed by using a mode-independent Lyapunov function. Some simulation results are given to illustrate the effectiveness of the developed techniques.
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ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2014.04.004