Delay-dependent fuzzy controller design for stabilization of nonlinear systems with multiple non-commensurate time delays

In this paper, the T-S fuzzy model approach is extended to design fuzzy controllers for the stabilizability of nonlinear systems with multiple non-commensurate time delays. Three types of fuzzy controllers are state feedback, observer-based state feedback, and output feedback fuzzy controller with time delay information. Based on the concept of the parallel distributed compensation (PDC) and the delay-dependent Lyapunov functional approach, some control design methods are proposed to stabilize the whole fuzzy time-delay system asymptotically. These design approaches are all dependent on time delays. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMI´s. The practical example based on the CSTR (continuous stirred tank reactor) model is given to illustrate the control designs and their effectiveness.