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Lyapunov‐stable discrete‐time model reference adaptive control
Author(s) -
Akhtar S.,
Bernstein D. S.
Publication year - 2005
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.876
Subject(s) - lyapunov function , control theory (sociology) , adaptive control , convergence (economics) , projection (relational algebra) , mathematical proof , lyapunov equation , discrete time and continuous time , stability (learning theory) , mathematics , lyapunov stability , identification (biology) , least squares function approximation , reference model , computer science , control (management) , algorithm , artificial intelligence , statistics , nonlinear system , machine learning , physics , quantum mechanics , geometry , botany , estimator , software engineering , economics , biology , economic growth
Abstract Discrete‐time model reference adaptive control (MRAC) is considered with both least squares and projection algorithm parameter identification. For both cases complete Lyapunov proofs are given for stability and convergence. The results extend the approach of Johansson ( Int. J. Control 1989; 50 (3):859–869) to include Lyapunov stability for MRAC when the normalized projection algorithm is used for parameter identification. Copyright © 2005 John Wiley & Sons, Ltd.