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State‐feedback adaptive tracking of linear systems with input and state delays
Author(s) -
Mirkin Boris,
Mirkin Eugene L.,
Gutman PerOlof
Publication year - 2009
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.1070
Subject(s) - control theory (sociology) , controller (irrigation) , state (computer science) , computer science , parametrization (atmospheric modeling) , trajectory , adaptive control , stability (learning theory) , lyapunov function , tracking (education) , full state feedback , tracking error , linear system , control engineering , mathematics , control (management) , nonlinear system , engineering , algorithm , artificial intelligence , psychology , mathematical analysis , pedagogy , physics , quantum mechanics , astronomy , machine learning , agronomy , biology , radiative transfer
Abstract A state‐feedback Lyapunov‐based design of direct model reference adaptive control is developed for a class of linear systems with input and state delays based only on lumped delays without so‐called distributed‐delay blocks. The design procedure is based on the concept of reference trajectory prediction, and on the formulation of an augmented error. We propose a controller parametrization that attempts to anticipate the future states. An appropriate Lyapunov–Krasovskii type functional is found for the design and the stability analysis. A simulation example illustrates the new controller. Copyright © 2008 John Wiley & Sons, Ltd.