Decentralized state-feedback stabilization and robust control of uncertain targe-scale systems with integrally constrained interconnections

被引：43

作者：

Ugrinovskii, VA ^{[1
]}

Petersen, IR

Savkin, AV

Ugrinovskaya, EY

机构：

[1] Australian Def Force Acad, Sch Elect Engn, Canberra, ACT 2600, Australia

[2] Univ Western Australia, Dept Elect & Elect Engn, Perth, WA 6009, Australia

来源：

SYSTEMS & CONTROL LETTERS | 2000年 / 40卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

robust control; decentralized control; large-scale systems; structured uncertainty; H-infinity-control; disturbance attenuation; absolute stabilization;

D O I：

10.1016/S0167-6911(00)00007-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with a problem of stabilization and robust control design for interconnected uncertain systems. A new class of uncertain large-scale systems is considered in which interconnections between subsystems as well as uncertainties in each subsystem are described by integral quadratic constraints. The problem is to design a set of local (decentralized) controllers which stabilize the overall system and guarantee robust disturbance attenuation in the presence of the uncertainty in interconnections between subsystems as well as in each subsystem. The paper presents necessary and sufficient conditions for the existence of such a controller. The proposed design is based on recent absolute stabilization and minimax optimal control results and employs solutions of a set of game-type Riccati algebraic equations arising in H-proportional to control. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：107 / 119

页数：13

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