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Robust H control of uncertain Markovian jump systems with time-delay

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2 Author(s)
Yong-Yan Cao ; Nat. Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China ; J. Lam

This paper is concerned with the robust stochastic stabilizability and robust H disturbance attenuation for a class of uncertain linear systems with time delay and randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. Sufficient conditions on the existence of a robust stochastic stabilizing and γ-suboptimal H state-feedback controller are presented using the Lyapunov functional approach. It is shown that a robust stochastically stabilizing H state-feedback controller can be constructed through the numerical solution of a set of coupled linear matrix inequalities

Published in:

IEEE Transactions on Automatic Control  (Volume:45 ,  Issue: 1 )