Optimization of Linear Systems Subject to Bounded Exogenous Disturbances: The Invariant Ellipsoid Technique

被引：64

作者：

Khlebnikov, M. V. ^{[1
]}

Polyak, B. T. ^{[1
]}

Kuntsevich, V. M. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow, Russia

[2] Natl Acad Sci, Inst Space Res, Kiev, Ukraine

[3] Natl Space Agcy, Kiev, Ukraine

来源：

AUTOMATION AND REMOTE CONTROL | 2011年 / 72卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

INTERNAL-MODEL PRINCIPLE; TO-PEAK GAIN; NONRANDOM DISTURBANCES; OPTIMAL CONTROLLER; STATE ESTIMATION; ROBUST; REJECTION; DESIGN; APPROXIMATIONS; STABILIZATION;

D O I：

10.1134/S0005117911110026

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 survey covers a variety of results associated with control of systems subjected to arbitrary bounded exogenous disturbances. The method of invariant ellipsoids reduces the design of optimal controllers to finding the smallest invariant ellipsoid of the closed-loop dynamical system. The main tool of this approach is the linear matrix inequality technique. This simple yet versatile approach has high potential in extensions and generalizations; it is equally applicable to both the continuous and discrete time versions of the problems.

引用

页码：2227 / 2275

页数：49