Simple Structure Controller Design for Exponential Stabilization of Feedforward Nonlinear Time-Delay Systems

This paper proposes a simple but effective method for constructing the state feedback controller to solve the exponential stabilization problem for a class of feedforward nonlinear systems subject to different time-delay states. The form of state feedback controller, which depends on a positive parameter to be determined, is firstly presented. And then, by considering the Lyapunov-Krasovskii functional with exponential term and taking the appropriate positive parameter, the state feedback controller is achieved to ensure the exponential stability of the closed-loop system. Finally, the proposed design scheme is utilized to the control design of resonant circuit system.