Relaxed Nonquadratic Stabilization of Discrete-Time Takagi-Sugeno Systems via An Efficient Switching Law

Abstract

This paper investigates the study on further enhancing the stabilization of discrete-time Takagi-Sugeno(T-S) systems by proposing a new fuzzy switching controller. Compared with the recent result reported in the literature, the proposed fuzzy switching controller is with a richer architecture on normalized fuzzy weighting functions(NFWFs) and a much more efficient switching law is developed for on-line activating the best pair of control gain matrices at each sampling instant. As a result, a larger system controllable interval can be obtained and it means that the conservatism of the previous result can be further reduced. In the end, some numerical simulations are provided to verify the effectiveness of the method developed in this paper. Furthermore, the proposed fuzzy switching controller is illustrated to be capable of providing much better control performance than the recent one for the same controllable plant.