Stabilization of feedforward systems with both discrete delays and distributed delays

In this work, by constructing an appropriate integral-type Lyapunov-Krasovskii functional (LKF) and applying a model transformation of time-delay systems, a design scheme of delay-free state feedback controller is provided for a class of feedforward nonlinear systems with both discrete delays and distributed delays. The designed controllers have simple forms and do not involve saturation or any recursive computation, which is widely applied in designing a controller of feedforward nonlinear systems. By using the transformation of coordinate and the property of Hurwitz polynomial, the problem of designing controller will be converted into that of determining a constant parameter, which can be gotten by appraising the nonlinear terms of the given systems.