Decentralized robust H/sub /spl infin// control for uncertain large-scale impulsive stochastic systems

A class of interconnected large-scale impulsive stochastic systems with uncertainties are concerned in this paper. The uncertainties of the system are assumed to be time-varying norm-bounded. We work on the design of decentralized robust H/sub /spl infin// controller for the systems. Our work gives a design for the robust decentralized controller under which the closed-loop system is stable in the mean square and ensures a prescribed level of H/sub /spl infin// performance for all admissible uncertainties. Sufficient conditions for robust H/sub /spl infin// control are given in terms of linear matrix inequalities (LMIs) and the robust decentralized state feedback control law is computed using standard LMI techniques. A numerical example is provided to demonstrate the effectiveness of the proposed design methods.