Abstract
In this paper, new approaches regarding H-2 guaranteed cost stability analysis and controller synthesis problems for a class of discrete-time fuzzy systems with uncertainties are investigated. The state-space Takagi-Sugeno fuzzy model with norm-bounded parameter uncertainties is adopted. Based on poly-quadratic Lyapunov functions, sufficient conditions for the existence of the robust H2 fuzzy controller can be obtained in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design a suboptimal fuzzy controller which minimizes the upper bound on the quadratic cost function. The effectiveness of the proposed design approach is illustrated by two examples.