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A robust discrete‐time adaptive control approach for systems with almost periodic time‐varying parameters
Author(s) -
Abidi Khalid
Publication year - 2012
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/rnc.2881
Subject(s) - pointwise , control theory (sociology) , discrete time and continuous time , parametric statistics , bounded function , adaptive control , nonlinear system , controller (irrigation) , convergence (economics) , pointwise convergence , computer science , tracking (education) , mathematics , class (philosophy) , control (management) , mathematical analysis , artificial intelligence , physics , psychology , pedagogy , approx , statistics , quantum mechanics , agronomy , economics , biology , economic growth , operating system
SUMMARY A periodic adaptive control approach is proposed for a class of nonlinear discrete‐time systems with time‐varying parametric uncertainties which are almost periodic, and the only prior knowledge is the periodicity. The new adaptive controller updates the parameters and the control signal periodically in a pointwise manner over one entire period, in the sequel that achieves a bounded tracking convergence. The result is further extended to scenarios with unknown input gain, higher order dynamics, and tracking. Copyright © 2012 John Wiley & Sons, Ltd.