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
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
收藏
页码:363 / 371
页数:9
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