Stabilization criterions for T-S fuzzy time-delay system

This paper studies the stabilization problem for T-S fuzzy systems with time delay. Based on Lyapunov criterion and Razumikhin theorem, two types of stabilizing controller are designed. One is the linear state feedback controller and the other is the parallel distributed fuzzy controller (PDFC). For each type of the controller, there are some sufficient conditions to be derived under which the whole closed-loop fuzzy time-delay system is stable asymptotically. Moreover, those sufficient conditions can be transformed into the problem of LMIs. The stabilizing controllers can be obtained by solving the LMIs. Finally, a practical continuous stirred tank reactor (CSTR) system is given to illustrate the control design and its stabilization effectiveness.