Tracking and rejection of periodic signals for discrete-time linear systems subject to control saturation

被引：5

作者：

Flores, Jeferson Vieira ^{[1
]}

Gomes da Silva, Joao Manoel, Jr. ^{[2
]}

Sartori, Renan ^{[2
]}

机构：

[1] PUCRS Grp Automat & Control Syst, BR-90619900 Porto Alegre, RS, Brazil

[2] UFRGS Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil

来源：

IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 03期

关键词：

INPUT SATURATIONS; ANTIWINDUP DESIGN; SERVO SYSTEM;

D O I：

10.1049/iet-cta.2012.0864

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 work addresses the tracking and rejection problem of periodic signals for discrete-time linear systems subject to control saturation. To ensure the periodic tracking/rejection an internal model-based controller is considered. Based on this control structure, conditions allowing the simultaneous synthesis of a stabilising state feedback gain and an anti-windup gain are proposed. Provided that references and disturbances belong to the interior of a certain admissible set, these gains guarantee that the trajectories of the closed-loop system starting in an ellipsoidal set contract to the linearity region of the closed-loop system, where the presence of the internal model ensures the periodic tracking/rejection. To compute the gains, an LMI-based optimisation problem aiming at the maximisation of the set of admissible states and/or the set of admissible references/disturbances is proposed.

引用

页码：363 / 371

页数：9

共 22 条

[1] Boyd S., 1994, LINEAR MATRIX INEQUA
[2] Anti-windup design of output tracking systems subject to actuator saturation and constant disturbances
Cao, YY
Lin, ZL
Ward, DG
[J]. AUTOMATICA, 2004, 40 (07) : 1221 - 1228
[3] Chen Chi-Tsong, 1970, LINEAR SYSTEM THEORY, P679
[4] Anti-windup design with guaranteed regions of stability for discrete-time linear systems
da Silva, JMG
Tarbouriech, S
[J]. SYSTEMS & CONTROL LETTERS, 2006, 55 (03) : 184 - 192
[5] ROBUST CONTROL OF A SERVOMECHANISM PROBLEM FOR LINEAR TIME-INVARIANT MULTIVARIABLE SYSTEMS
DAVISON, EJ
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (01) : 25 - 34
[6] Design of a repetitive controller: an application to the track-following servo system of optical disk drives
Doh, T. -Y.
Ryoo, J. R.
Chung, M. J.
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (03): : 323 - 330
[7] Robust Periodic Reference Tracking for Uncertain Linear Systems subject to Control Saturations
Flores, J. V.
Gomes da Silva, J. M., Jr.
Sbarbaro, D.
[J]. PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 7960 - 7965
[8] Repetitive Control Design for MIMO Systems With Saturating Actuators
Flores, Jeferson Vieira
Gomes da Silva, Joao Manoel, Jr.
Alves Pereira, Luis Fernando
Sbarbaro, Daniel G.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) : 192 - 198
[9] INTERNAL MODEL PRINCIPLE FOR LINEAR-MULTIVARIABLE REGULATORS
FRANCIS, BA
WONHAM, WM
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1975, 2 (02) : 170 - 194
[10] REPETITIVE CONTROL-SYSTEM - A NEW TYPE SERVO SYSTEM FOR PERIODIC EXOGENOUS SIGNALS
HARA, S
YAMAMOTO, Y
OMATA, T
NAKANO, M
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (07) : 659 - 668

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