Robust H∞ Control of Polynomial Fuzzy Singular Systems

This study examines the polynomial fuzzy singular systems (PFSS) stability problem. Based on singular nonlinear systems, a polynomial fuzzy model is created, and the stability of the system is examined using a suitable Lyapunov function. The sufficient condition for the system impulse controllable is investigated, and the system’s stabilization and robust $H_{\infty}$ control problems are discussed. Different from the existed conclusions, the controller has a simple structure and can be designed and applied to more PFSS.