Global stabilisation of a class of feedforward systems with distributed delays

Abstract

In this study, both state feedback control and output feedback control design schemes are considered for a class of feedforward non-linear systems with distributed delays. First, by using the state transformation of non-linear systems, the problem of designing controller can be converted into that of designing a dynamic parameter, which is dynamically regulated by a dynamic equation. Then, the dynamic equation is delicately constructed by appraising the non-linear terms of the given systems. At last, with the help of Lyapunov stability theorem, it is provided the stability analysis for the closed-loop system consisting of the designed controller and the given systems. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.