Pseudo Predictor Feedback Stabilization of Linear Systems with Both State and Input Delays

Abstract

This paper is concerned with stabilization of linear systems with both input delay and state delay, by utilizing the predictor based delay compensation method. The future dynamics of system are predicted by the proposed pseudo predictor feedback (PPF) control scheme. It is proved that the stability of the time-delay system under the PPF controller is equivalent to the stability of a corresponding integral delay system. The proposed method is also adopted for the stabilization of time-varying time-delay systems. A numerical example is carried out to illustrate the effectiveness of the proposed approach.