Anti-windup compensation for systems with sensor saturation: a study of architecture and structure

被引:22
作者
Turner, Matthew C. [1 ]
Tarbouriech, Sophie [2 ]
机构
[1] Univ Leicester, Dept Engn, Leicester LE1 7RH, Leics, England
[2] Univ Toulouse, CNRS, LAAS, Toulouse, France
关键词
anti-windup; L2; gain; sensor saturation; LINEAR-SYSTEMS; STABILIZATION; STABILITY; SUBJECT; DESIGN;
D O I
10.1080/00207170802512816
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 article proposes a linear dynamic anti-windup strategy for the alleviation of performance and stability problems in systems which are linear apart from saturating sensors. Unlike anti-windup compensation for systems subject to actuator saturation, there is no agreed architecture for applying anti-windup to systems with sensor saturation and therefore attention is devoted to the discussion of various candidate configurations which can be interpreted as a particular choice of a static non-linear map. The main results of the article give existence conditions for compensators which yield global exponential stability and finite L2 gain of the overall non-linear closed-loop system. The existence conditions are different to those which have appeared hitherto in the literature.
引用
收藏
页码:1253 / 1266
页数:14
相关论文
共 31 条
[1]   An output feedback H∞ controller design for linear systems subject to sensor nonlinearities [J].
Cao, YY ;
Lin, ZL ;
Chen, BM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (07) :914-921
[2]  
CRAWSHAW S, 2003, P EUR CONTR C CAMBR
[3]   Antiwindup design with guaranteed regions of stability: An LMI-based approach [J].
da Silva, JMG ;
Tarbouriech, S .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :106-111
[4]   IN-LARGE STABILITY OF RELAY AND SATURATING CONTROL SYSTEMS WITH LINEAR CONTROLLERS [J].
FULLER, AT .
INTERNATIONAL JOURNAL OF CONTROL, 1969, 10 (04) :457-&
[5]   A LINEAR MATRIX INEQUALITY APPROACH TO H-INFINITY CONTROL [J].
GAHINET, P ;
APKARIAN, P .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1994, 4 (04) :421-448
[6]   STABILITY OF OVERRIDE CONTROL-SYSTEMS [J].
GLATTFELDER, AH ;
SCHAUFELBERGER, W ;
FASSLER, H .
INTERNATIONAL JOURNAL OF CONTROL, 1983, 37 (05) :1023-1037
[7]   Antiwindup for stable linear systems with input saturation: An LMI-based synthesis [J].
Grimm, G ;
Hatfield, J ;
Postlethwaite, I ;
Teel, AR ;
Turner, MC ;
Zaccarian, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (09) :1509-1525
[8]   Discrete-time and sampled-data anti-windup synthesis: stability and performance [J].
Herrmann, G ;
Turner, MC ;
Postlethwaite, I .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2006, 37 (02) :91-113
[9]   Nonlinear control of feedforward systems with bounded signals [J].
Kaliora, G ;
Astolfi, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (11) :1975-1990
[10]   OBSERVABILITY OF LINEAR-SYSTEMS WITH SATURATED OUTPUTS [J].
KOPLON, R ;
SONTAG, ED ;
HAUTUS, MLJ .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1994, 206 :909-936