Repetitive Control Design for MIMO Systems With Saturating Actuators

被引:22
作者
Flores, Jeferson Vieira [1 ]
Gomes da Silva, Joao Manoel, Jr. [1 ]
Alves Pereira, Luis Fernando [1 ]
Sbarbaro, Daniel G. [2 ]
机构
[1] Univ Fed Rio Grande Sul UFRGS, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil
[2] Univ Concepcion, Dept Elect Engn, Concepcion, Chile
关键词
Anti-windup; constrained control; control saturation; repetitive control; tracking; LINEAR-SYSTEMS; REFERENCE TRACKING; ANTIWINDUP DESIGN; INTERNAL-MODEL; SERVO SYSTEM; STABILITY; SUBJECT;
D O I
10.1109/TAC.2011.2174829
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 problem of tracking and rejection of periodic signals for linear multi-input, multi-output systems subject to control saturation. To ensure the periodic tracking/rejection, a modified state-space repetitive control structure is considered. Conditions in a "quasi" linear matrix inequality form are proposed to simultaneously compute a stabilizing state feedback gain and an anti-windup gain. Provided that the references and disturbances belong to a certain admissible set, these gains guarantee that the trajectories of the closed-loop system starting in a certain ellipsoidal set contract to the linearity region of the closed-loop system, where the presence of the repetitive controller ensures the periodic tracking/rejection.
引用
收藏
页码:192 / 198
页数:7
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