An analysis and design method for linear systems under nested saturation

被引：65

作者：

Bateman, A ^{[1
]}

Lin, ZL ^{[1
]}

机构：

[1] Univ Virginia, Dept Elect & Comp Engn, Charlottesville, VA 22903 USA

来源：

SYSTEMS & CONTROL LETTERS | 2003年 / 48卷 / 01期

关键词：

actuator saturation; nested saturation; rate saturation;

D O I：

10.1016/S0167-6911(02)00246-3

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 considers a linear system under nested saturation. Nested saturation arises, for example, when the actuator is subject to magnitude and rate saturation simultaneously. A condition is derived in terms of a set of auxiliary feedback gains for determining if a given ellipsoid is contractively invariant. Moreover, this condition is shown to be equivalent to linear matrix inequalities (LMIs) in the actual and auxiliary feedback gains. As a result, the estimation of the domain of attraction for a given set of feedback gains can be formulated as an optimization problem with LMI constraints. By viewing the feedback gains as extra free parameters, the optimization problem can be used for controller design. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：41 / 52

页数：12

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