Derivative-based Fuzzy Control Synthesis for Singular Takagi-Sugeno Fuzzy Systems with Perturbations

This paper focuses on stabilization issues for the nonlinear singular systems with internal perturbations. 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. 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. Then transform these stability conditions into a linear matrix inequality problem. In the end, a numerical example is provided to verify the applicability of the proposed robust fuzzy controller design method.