Anti-windup design with guaranteed regions of stability: an LMI-based approach

被引：20

作者：

da Silva, JMG ^{[1
]}

Tarbouriech, S ^{[1
]}

机构：

[1] Univ Fed Rio Grande do Sul, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil

来源：

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年

关键词：

actuator saturation; anti-windup; stability; LML;

D O I：

10.1109/CDC.2003.1272226

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 addresses the design of anti-windup gains for obtaining larger regions of stability for linear systems with saturating inputs. Considering that a linear dynamic output feedback has been designed to stabilize the linear system (without saturation), a method is proposed for designing an anti-windup gain that maximizes the estimation of the basin of attraction of the closed-loop system. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be modeled by a linear system with a deadzone nonlinearity. A modified sector condition is then used to obtain stability conditions based on quadratic Lyapunov functions. Differently of previous works these conditions are directly in LMI form. Several examples illustrate the effectiveness of the proposed design technique when compared with the previous ones.

引用

页码：4451 / 4456

页数：6

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