Improvements on stabilization and robust tracking control for T-S fuzzy control systems

By using the non-PDC control and the multiple Lyapunov function, a set of LMI-based stabilization conditions for continuous-time T-S fuzzy systems is developed in the paper. In comparison with existing results, not only the derived condition is more relaxed but the approach used is simpler and more realizable in dealing with the time derivatives of membership functions. Some drawback existing in current literature is removed in the paper. The proposed idea is also extended to solve the robust tracking control problem and obtain a more satisfactory tracking performance. At the end, practical examples are given to illustrate the effectiveness of the proposed approach.