Decentralized Robust Control for Uncertain Impulsive Stochastic Systems

This paper works on the decentralized robust H∞ control of interconnected impulsive stochastic systems with uncertainties. The uncertainties are assumed to be time-varying and norm-bounded. For the uncertain interconnected impulsive stochastic system a robust decentralized state feedback controller is designed under which the resulting closed-loop interconnected impulsive stochastic system is internally robustly asymptotically stable in the mean square and ensures a prescribed level of H∞ performance for all admissible uncertainties. A sufficient condition for the implementation of the robust H∞ control and the design of a robust decentralized state feedback control law is given in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed design approach.