Robust Control for a Class of Nonlinear Systems with Time-varying Delays Based on Dissipative Analysis

This paper focuses on the problems of robust control for nonlinear systems with time-delay based on dissipative analysis.The nonlinear parameters satisfied Lipschitz conditions.The objective is to design a feedback controller achieving strict quadratic dissipativeness. By constructing a Lyapunov-Krasovskii functional,together with the definition of dissipativity and line matrix inequality (LMI)techniques,some sufficient conditions which include delay-independent and delay-dependent dissipativity criteria are obtained in the form as LMI based on feasibility tests.The free weight matrix is also introduced to reduce the conservatism of the sufficient conditions. Finally,an numerical example with simulations is given to show the correctness of the derived results and the effectiveness of the proposed method.