Pseudo-Predictor Feedback Stabilization of Linear Systems with Time-Varying Input Delays
This paper is concerned with stabilization of(time-varying)linear systems with a single time-varying input delay by using the predictor based delay compensation approach.Differently from the traditional predictor feedback which uses the open-loop system dynamics to predict the future state and will result in an infinite dimensional controller,we propose in this paper a pseudo-predictor feedback(PPF)approach which uses the(artificial)closed-loop system dynamics to predict the future state and the resulting controller is finite dimensional and is thus easy to implement.Necessary and sufficient conditions guaranteeing the stability of the closed-loop system under the PPF are obtained in terms of the stability of a class of integral delay operators(systems).Moreover,it is shown that the PPF can compensate arbitrarily large yet bounded input delays provided the open-loop(time-varying linear)system is only polynomially unstable and the feedback gain is well designed.Comparison of the proposed PPF approach with the existing results are well explored.Numerical examples demonstrate the effectiveness of the proposed approaches.
Pseudo-predictor feedback Time-varying delay Integral delay systems Delay compensation
Bin Zhou
Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,150001,China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
5973-5978
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）