Observer-based H∞ fuzzy control for nonlinear stochastic systems with multiplicative noise and successive packet dropouts

In this paper, the observer-based H-infinity control problem is investigated for a class of T-S fuzzy nonlinear stochastic systems with multiplicative noise and successive packet dropouts. The stochastic system under study is subject to state- and disturbance-dependent noises, and the successive packet dropouts are assumed to obey the Bernoulli random binary distribution. By employing the stochastic analysis approach, a sufficient condition is derived such that the closed-loop system is stochastically stable, and the prescribed H-infinity disturbance-rejection-attenuation performance is also achieved. Moreover, the observer-based H-infinity fuzzy controller design method is proposed in terms of linear matrix inequalities for the systems with successive packet dropouts. Finally, a numerical example is exploited to demonstrate the effectiveness of the obtained results. (C) 2015 Elsevier B.V. All rights reserved.