Robust control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay

In this paper, a new T-S fuzzy hyperbolic delay model is presented for stability analysis and feedback control of a class of nonlinear systems with time-varying delay. By using a new Lyapunov function, fuzzy controller is constructed and asymptotic stability conditions of closed-loop system are derived via linear matrix inequalities (LMIs). Compared with the control method based on T-S fuzzy linear delay model, the control method proposed in this paper can achieve smaller control amplitude in almost same time, which can be considered as a “soft” constraint control method. Finally, a numerical example is given to validate the advantages of the proposed method.