Stabilization of linear strict-feedback systems with delayed integrators

被引：93

作者：

Bekiaris-Liberis, Nikolaos ^{[1
]}

Krstic, Miroslav ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

来源：

AUTOMATICA | 2010年 / 46卷 / 11期

关键词：

Delay systems; Predictor; Strict-feedback systems; FINITE SPECTRUM ASSIGNMENT; GLOBAL ASYMPTOTIC STABILIZATION; TIME-DELAY; ADAPTIVE-CONTROL; INPUT; ACTUATOR; DESIGN;

D O I：

10.1016/j.automatica.2010.07.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of compensation of input delays for unstable linear systems was solved in the late 1970s. Systems with simultaneous input and state delay have remained a challenge, although exponential stabilization has been solved for systems that are not exponentially unstable, such as chains of delayed integrators and systems in the 'feedforward' form. We consider a general system in strict-feedback form with delayed integrators, which is an example of a particularly challenging class of exponentially unstable systems with simultaneous input and state delays, and design a predictor feedback controller for this class of systems. Exponential stability is proven with the aid of a Lyapunov-Krasovskii functional that we construct using the PDE backstepping approach. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1902 / 1910

页数：9

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