Nonfragile H∞ Control for Uncertain Takagi-Sugeno Fuzzy Systems Under Digital Communication Channels and Its Application

This work addresses the nonfragile H infinity controller design problem for a class of discrete-time uncertain nonlinear systems. The norm-bounded uncertainty is contained in the nonlinear plant, which is described by the well-known Takagi-Sugeno (T-S) fuzzy model. The controller gain perturbation is also considered. When the input signal is transmitted from the controller to the system through the digital communication channels, it will be quantized by a static quantizer. The main attention is to design the nonfragile H infinity state-feedback controller for the closed-loop quantized uncertain T-S fuzzy system. By introducing some auxiliary scalars and the fuzzy basis-dependent Lyapunov function approach, sufficient conditions are established in the form of linear matrix inequalities (LMIs). The construction for the nonfragile H infinity controller can be completed by solving these LMIs. In the end, the applicability and effectiveness of the proposed method have been illustrated by two simulation examples.

Automated summary

This work addresses the nonfragile H infinity controller design problem for a class of discrete-time uncertain nonlinear systems, focusing on the Takagi-Sugeno (T-S) fuzzy model and static quantizer. By introducing auxiliary scalars and the fuzzy basis-dependent Lyapunov function approach, sufficient conditions are established in the form of linear matrix inequalities (LMIs) for designing the nonfragile H infinity controller. Illustrations of the proposed method's applicability and effectiveness are provided through two simulation examples.