Robust output feedback control of a class of discrete fuzzy systems: An LMI approach

This paper investigates the robust stabilization problem for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems via output feedback control. Applying the basis-dependent Lyapunov function approach, we present the sufficient conditions for the solvability of the problem in terms of linear matrix inequality (LMI). Furthermore, the desired full order dynamic output feedback controllers are constructed, which guarantee the asymptotical stability and the prescribed robust performance level for the resulting closed-loop systems. Finally, a numerical example is provided to demonstrate the effectiveness of the methods proposed.