Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function

This paper deals with the problems of the admissibility analysis and control synthesis for polynomial fuzzy singular systems. By the help of the line integral Lyapunov function and an equivalent condition for a matrix inequality, a sufficient admissibility criterion of the polynomial fuzzy singular system is obtained. Furthermore, using a simple technique, the desired controller design method is presented in terms of sum-of-squares to avoid solving complex inequalities. Simulation examples are also provided to illustrate the effectiveness of the proposed methods.