Stabilization by using artificial delays: An LMI approach

被引：68

作者：

Fridman, Emilia ^{[1
]}

Shaikhet, Leonid ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel

来源：

AUTOMATICA | 2017年 / 81卷

基金：

以色列科学基金会;

关键词：

Time-delay; Stabilization by using artificial delay; Lyapunov-Krasovskii method; LMIs; SYSTEMS; STABILITY;

D O I：

10.1016/j.automatica.2017.04.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Static output-feedback stabilization for the nth order vector differential equations by using artificial multiple delays is considered. Under assumption of the stabilizability of the system by a static feedback that depends on the output and its derivatives up to the order n - 1, a delayed static output-feedback is found that stabilizes the system. The conditions for the stability analysis of the resulting closed-loop system are given in terms of simple LMIs. It is shown that the LMIs are always feasible for appropriately chosen gains and small enough delays. Robust stability analysis in the presence of uncertain time-varying delays and stochastic perturbation of the system coefficients is provided. Numerical examples including chains of three and four integrators that are stabilized by static output-feedbacks with multiple delays illustrate the efficiency of the method. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：429 / 437

页数：9

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