On Non-quadratic Local Static Output Feedback Controller for Continuous-time Takagi-Sugeno models

This paper focuses on the problem of static output feedback controller synthesis for continuous-time Takagi-Sugeno (T-S) fuzzy system. The new perspective introduced in this paper lies on the observation that most of the previous results found in the literature intended to establish global conditions while employing non-quadratic Lyapunov functions, which can not be reached for many nonlinear systems. The well known problem of handing time-derivatives of membership function (MFs) is overcome by reducing global goals to the estimation of region of attraction. It is shown that the derived local conditions actually leads to reasonable advantages over the existing quadratic approach as well as some previous non-quadratic attempts. Moreover, conditions for the solvability of the static output feedback controller design given here are written in the form of linear matrix inequalities which can be efficiently solved by convex optimization techniques. Simulation example is given to demonstrate the validity and applicability of the proposed approaches.