The piecewise fuzzy output tracking control of uncertain T-S system with time delays

For the conservatism and difficulty of checking the stability of T-S fuzzy system with the common Lyapunov function approach, piecewise Lyapunov function and fuzzy Lyapunov function are proposed by using the fuzzy premise rules of the T-S system and membership functions respectively; the problem of robust control of a typical class of T-S fuzzy systems is studied by defining fuzzy Lyapunov function in each overlapping group; and The method of parametric design of output tracking controller is given in the form of LMI. And, the output tracking controller meets the disturbance attenuation gamma, the controller can guarantee that the closed-loop system is stable. Finally, The matrix shows the feasibility of the method.