Piecewise H2 guaranteed cost control for uncertain discrete-time fuzzy system

This study introduces a H₂ guaranteed cost control method for the discrete time fuzzy systems with norm-bounded uncertainties based on the piecewise Lyapunov functions. Sufficient conditions for the H₂ guaranteed cost controllers are given in terms of linear matrix inequalities (LMIs). Further more, a convex optimization problem with LMI constraints is formulated to design the optimal H₂ guaranteed cost controller, which minimizes the guaranteed cost of the closed-loop uncertain system. Numerical example is given to demonstrate the effectiveness of the proposed method.