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Dynamical compensation for time‐delay systems: an LMI approach
Author(s) -
Ivănescu Dan,
Dion JeanMichel,
Dugard Luc,
Niculescu S. I.
Publication year - 2000
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 - 10.1002/1099-1239(20000715)10:8<611::aid-rnc501>3.0.co;2-e
Subject(s) - control theory (sociology) , perturbation (astronomy) , stability (learning theory) , compensation (psychology) , observer (physics) , controller (irrigation) , exponential stability , closed loop , computer science , simple (philosophy) , dynamical systems theory , mathematics , control engineering , control (management) , nonlinear system , engineering , physics , psychology , philosophy , epistemology , quantum mechanics , artificial intelligence , machine learning , psychoanalysis , agronomy , biology
This paper presents simple and explicit formulae of an ‘observer‐based H ∞ controller’ for linear time‐delay systems. Based on the LMI approach, we design a dynamical controller which guarantees the asymptotic stability of the closed‐loop system and reduces the effect of the perturbation to a prescribed level. The main contribution of the paper is to provide closed‐loop stability analysis when the system time delay is unknown. We give delay‐dependent and delay‐independent stability results. The proposed method is illustrated by examples. The paper completes the work of the same authors. Copyright © 2000 John Wiley & Sons, Ltd.