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