ON THE ROBUSTNESS OF LINEAR STABILIZING FEEDBACK-CONTROL FOR LINEAR UNCERTAIN SYSTEMS - MULTIINPUT CASE

被引：3

作者：

CHAO, CH ^{[1
]}

STALFORD, HL ^{[1
]}

机构：

[1] VIRGINIA POLYTECH INST & STATE UNIV,DEPT AEROSP & OCEAN ENGN,BLACKSBURG,VA 24061

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1990年 / 64卷 / 02期

关键词：

linear control; Lyapunov functions; Robust control; uncertain systems;

D O I：

10.1007/BF00939447

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The robust stabilization of linear systems with constant uncertainties against structured perturbations using Lyapunov's theory is investigated. The only information needed on the uncertainties is the knowledge of their boundaries. The matching conditions of the uncertain systems are not required to be satisfied. It is first shown that, under some assumptions, the system can be transformed into a certain canonical controllable companion form. Then, under some additional assumptions, the existence of a linear controller which stabilizes the system based on Lyapunov's theory is shown. © 1990 Plenum Publishing Corporation.

引用

页码：229 / 244

页数：16

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