Non-monotonic fuzzy state feedback controller design for discrete Time T-S fuzzy systems

In this paper a new approach is proposed to design state feedback controllers for well known T-S fuzzy systems. The used controller structure is in familiar parallel distributed compensation (PDC) format and the Lyapunov candidate is the frequently used common quadratic one. The only difference is the stability theorem used which is a revised version of Lyapunov stability theorem that relaxes monotonic condition. It is shown that the proposed method is less conservative than common quadratic method and piecewise method.