Truncated predictor feedback for periodic linear systems with input delays with applications to the elliptical spacecraft rendezvous

Bin Zhou, Zhao‐Yan Li
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引用次数: 16

Abstract

This paper considers stabilization of periodic linear systems with time-varying input delays. The truncated predictor feedback (TPF) approaches established earlier for time-invariant systems are generalized to the time-varying setting. By carefully investigating the solutions and properties to a class of parametric Lyapunov differential equations, it is proved the TPF controllers can indeed stabilize the concerned time-varying linear time-delay systems for arbitrarily large and bounded delays as long as the characteristic multiplier set of the open-loop system is within the closed unit circle. Both single input delay and multiple input delays are addressed. Moreover, the control matrices of the systems are not necessarily periodic. The developed TPF approach is then applied on the elliptical spacecraft rendezvous problem and numerical simulations validate the effectiveness of the established approaches.
具有输入延迟的周期线性系统的截断预测反馈及其在航天器椭圆交会中的应用
研究具有时变输入时滞的周期线性系统的镇定问题。将先前建立的用于定常系统的截断预测器反馈方法推广到时变系统。通过对一类参数Lyapunov微分方程的解和性质的仔细研究,证明了只要开环系统的特征乘子集在闭合单位圆内,TPF控制器确实可以稳定任意大有界时滞的时变线性时滞系统。解决了单输入延迟和多输入延迟。此外,系统的控制矩阵不一定是周期性的。将所建立的TPF方法应用于航天器椭圆交会问题,数值仿真验证了所建立方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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