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H∞ control of time-delay state feedback Markovian jump linear systems with uncertain transition rates

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4 Author(s)
Chao Li ; Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing, China ; Yan Wang ; Bowen Liu ; Zongyue Li

This paper deals with the H∞ time-delay control problem for a class of uncertain Markovian jump linear systems (MJLSs). Since it's difficult to obtain the transition rates of real control systems, we consider the systems with uncertain transition rates. Combining H∞ control theory, we propose a sufficient robust stochastic stability criterion of the system. Then, the H∞ time-delay state-feedback controller that makes the underlying system stabilizable with γ-disturbance attenuation is designed. By constructing a Lyapunov functional, the time-delay independent LMI-formatted globally stability criterion is proposed based on robust control theory. Then, numerical example is provided to demonstrate the effectiveness of the derived results.

Published in:

Power Engineering and Automation Conference (PEAM), 2011 IEEE  (Volume:3 )

Date of Conference:

8-9 Sept. 2011