Dissipative analysis for nonlinear singular systems with time-delay

This paper is concerned with the dissipative control problem for a class of nonlinear singular systems with time-delay. The quadratic supply rate with coefficient matrix Q > 0 and Q ≤ 0 are both discussed. Based on the Lyapunov stability theory, sufficient conditions are given to guarantee that the system is strictly dissipative via linear matrix inequality technique. Then congruent transformation method and Schur complement lemma are respectively used to determine corresponding proportional and derivative feedback controller for Q > 0 and Q ≤ 0. At last, two examples involve a practical example are given to verify the effectiveness of the method proposed in this paper.