Feedback controller design for T-S fuzzy control systems based on Lyapunov approach

In this paper, the problems of relaxed robust quadratic stability conditions for a class of nonlinear systems described by T-S fuzzy model are proposed. Firstly, new quadratic robust stability condition is obtained by designing state feedback controller for T-S fuzzy systems with uncertainties. The condition is represented in the form of linear matrix inequalities (LMIs). Secondly, it presents dynamic output feedback control designs of complex nonlinear system which can be represented by T-S fuzzy systems. The new method considers the interactions among all fuzzy subsystems. Finally, the validity and applicability of the proposed approach are successfully demonstrated in the control of a continuous-time nonlinear system.