Fuzzy model-based control of nonlinear stochastic systems with time-delay Original Research Article

This note investigates the problems of robust stabilization and robust H∞H∞ control for a class of nonlinear stochastic delay systems—stochastic fuzzy delay systems. The purpose of the robust stochastic stabilization problem is the design of a state feedback controller such that the closed-loop system is mean-square exponentially stable for all admissible uncertainties. In the robust H∞H∞ control problem, in addition, a prescribed H∞H∞ performance is required to be archived. Sufficient conditions for the solvability of these problems are given in terms of solutions to a set of linear matrix inequalities (LMIs). The developed theory is illustrated by numerical simulation.