论文标题

一类具有延迟边界控制的对角线边界控制系统的指数输入到州稳定

Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control

论文作者

Lhachemi, Hugo, Shorten, Robert, Prieur, Christophe

论文摘要

本文通过延迟边界控制,涉及一类对角无限维系统的边界干扰的指数输入到国家稳定。所考虑的输入延迟是不确定的,并且时间变化。所提出的控制策略由恒定的预测预测反馈控制器组成,该反馈控制器设计在截短的有限维模型上,该模型捕获原始无限维系统的不稳定模式。我们表明,所得的闭环系统是指数式输入到状态稳定的,在计算预测变量反馈的计算中,加性边界输入扰动和干扰均褪色。

This paper deals with the exponential input-to-state stabilization with respect to boundary disturbances of a class of diagonal infinite-dimensional systems via delay boundary control. The considered input delays are uncertain and time-varying. The proposed control strategy consists of a constant-delay predictor feedback controller designed on a truncated finite-dimensional model capturing the unstable modes of the original infinite-dimensional system. We show that the resulting closed-loop system is exponentially input-to-state stable with fading memory of both additive boundary input perturbations and disturbances in the computation of the predictor feedback.

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