Robust Fuzzy Controller Design with Decay Rate for Nonlinear Perturbed Singular Systems

This paper deals with the robust fuzzy controller design problem for the perturbed nonlinear singular systems. A novel robust fuzzy control technique is investigated based on the state-derivative feedback approach. In this paper, the nonlinear perturbed singular systems are expressed by the uncertain Takagi-Sugeno fuzzy models and the so-called parallel distributed compensation method is applied to design the state-derivative feedback fuzzy controller. Considering the Takagi-Sugeno fuzzy perturbed singular systems, the Lyapunov stability theory is employed to derive sufficient stability conditions with decay rate. These sufficient stability conditions can be effectively transferred into the linear matrix inequality problem. At last, a numerical example is provided to verify the applicability and effectivity of the proposed robust fuzzy controller design method.