Open AccessTracking and rejection of periodic signals for discrete‐time linear systems subject to control saturation
Author(s) -
Flores Jeferson Vieira,
Silva Joao Manoel Gomes,
Sartori Renan
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0864
Subject(s) - control theory (sociology) , tracking (education) , discrete time and continuous time , controller (irrigation) , mathematics , ellipsoid , internal model , set (abstract data type) , linear system , computer science , control (management) , artificial intelligence , psychology , mathematical analysis , pedagogy , statistics , physics , astronomy , agronomy , biology , programming language
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.