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Adaptive control of non‐linear systems with unknown virtual control coefficients
Author(s) -
Ding Zhengtao
Publication year - 2000
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 - 10.1002/1099-1115(200008)14:5<505::aid-acs610>3.0.co;2-n
Subject(s) - backstepping , control theory (sociology) , a priori and a posteriori , parametric statistics , bounded function , adaptive control , linear system , tracking (education) , control (management) , mathematics , nonlinear system , computer science , artificial intelligence , mathematical analysis , statistics , psychology , pedagogy , philosophy , physics , epistemology , quantum mechanics
This paper deals with state feedback adaptive control of parametric‐strict‐feedback (triangular) non‐linear systems with unknown virtual control coefficients. A priori knowledge of the signs of the virtual coefficients is not required, and control signals and adaptive laws are smooth. Asymptotic tracking of smooth reference signals is achieved while all the variables remain bounded. The proposed algorithms make use of backstepping and tuning functions, and enlarge the class of non‐linear systems with unknown parameters for which asymptotic output tracking can be achieved. Copyright © 2000 John Wiley & Sons, Ltd.