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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.
Power Engineering and Automation Conference (PEAM), 2011 IEEE (Volume:3 )
Date of Conference: 8-9 Sept. 2011