Robust H∞ control for discrete-time fuzzy systems with Markovian jumps and multiplicative noises

This paper is concerned with H∞ control problem for a class of discrete-time fuzzy systems with multiplicative noises and Markovian jumps. The Takagi-Sugeno(T-S) fuzzy model is employed to represent a discrete-time nonlinear systems with norm-bound. By using basis dependent Lyapunov function, H∞ control problem for discrete-time Markovian jump fuzzy system with multiplicative noises is well treated. And a fuzzy Lyapunov function is constructed to derive a sufficient condition such that the closed-loop fuzzy system is globally asymptotically. Furthermore, we propose the approach that makes the control design feasible and study some results in the form of linear matrix inequalities.