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An adaptive tracking problem
Author(s) -
Miller Daniel E.,
Davison E. J.
Publication year - 1992
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480060105
Subject(s) - control theory (sociology) , lti system theory , controller (irrigation) , constant (computer programming) , mathematics , linear differential equation , differential equation , adaptive control , exponential stability , linear system , differential (mechanical device) , constant coefficients , tracking (education) , computer science , control (management) , nonlinear system , engineering , mathematical analysis , psychology , agronomy , pedagogy , physics , quantum mechanics , artificial intelligence , aerospace engineering , biology , programming language
In this paper we consider the problem of designing a controller for an uncertain linear time‐invariant (LTI) system; the control objective is that of asymptotic error regulation for reference and disturbance signals which are described by a known unforced differential equation. In particular, we are concerned with the case in which this differential equation describes linear combinations of sinusoidal and constant functions; we show that under mild (almost necessary) structural requirements on the plant, prior knowledge of the order of an LTI exponentially stabilizing compensator is sufficient to achieve this control objective.