New Method to Nonquadratic Tracking Control for Continuous-time T-S Fuzzy Systems

This paper is concerned with the tracking control problem for continuous-time Takagi-Sugeno (T-S) fuzzy systems. Attention is focused on the design of a tracking controller attenuating the tracking error as small as possible in the H-infinity performance sense. Conditions for designing tracking controller are established based on a novel nonquadratic Lyapunov function whose integral structure allows circumventing the well known problem of handing time-derivatives of membership functions (MFs). It is shown that conditions for the solvability of the tracking controller design given here are written in the form of linear matrix inequality (LMI) which can be efficiently solved by convex optimization techniques. One simulation example is given to demonstrate the validity of the proposed approach.