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Event‐triggered control for discrete‐time linear systems subject to bounded disturbance
Author(s) -
Wu Wei,
Reimann Sven,
Görges Daniel,
Liu Steven
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3388
Subject(s) - control theory (sociology) , bounded function , controller (irrigation) , invariant (physics) , computer science , linear system , observable , implementation , discrete time and continuous time , set (abstract data type) , control (management) , lti system theory , mathematics , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , agronomy , mathematical physics , biology , programming language
Summary This paper considers event‐triggering controller design for directly observable discrete‐time linear systems subject to bounded disturbances. The main control objective is diminishing the influence aroused by the disturbances despite a reduction of the communication. Criteria are given to design feedback controllers in order to guarantee that systems are uniformly ultimately bounded in an ellipsoidal‐positive invariant set, which is used as an estimate of control performance for disturbance rejection. An optimization for minimizing the ellipsoidal‐positive invariant set is achieved by synthesizing the feedback control gain and the given event‐triggering conditions in LMIs. The effectiveness and applicability of the controller are illustrated by simulations and experimental implementations. Copyright © 2015 John Wiley & Sons, Ltd.