Paper Info
Title
A design solution to the problem of adaptive output regulation for nonlinear minimum-phase systems
Abstract
We propose a solution to the problem of adaptive output regulation for nonlinear minimum-phase systems that does not rely upon conventional adaptation schemes to estimate the frequency of the exogenous signals. The proposed approach relies upon regression tools to derive a nonlinear internal model able to offset the presence of an unknown number of harmonics of uncertain amplitude, phase and frequency. The design methodology guarantees asymptotic regulation in the case the dimension of the regulator is sufficiently large in relation to the effective number of harmonics acting on the system. On the other hand, in the case of under-dimensioned internal model, a bounded steady-state regulation error is ensured whose amplitude, though, can be arbitrarily decreased by acting on a design parameter of the regulator. The proposed tool is also shown to be effective to deal with the larger class of nonlinear but linearly parameterized uncertain exosystems.
Year
DOI
Venue
2010
10.1109/CDC.2010.5717217
Decision and Control
Keywords
Field
DocType
adaptive control,nonlinear control systems,regression analysis,uncertain systems,adaptive output regulation,asymptotic regulation,bounded steady-state regulation error,design methodology,design parameter,exogenous signals,harmonics,linearly parameterized uncertain exosystems,nonlinear internal model,nonlinear minimum-phase systems,regression tools,uncertain amplitude,under-dimensioned internal model
Mathematical optimization,Nonlinear system,Computer science,Adaptive system,Control theory,Harmonics,Adaptive control,Minimum phase,Offset (computer science),Internal model,Bounded function
Conference
ISSN
ISBN
Citations 
0743-1546
978-1-4244-7745-6
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
Alberto Isidori141375.57
Lorenzo Marconi284593.46
Praly, L.31835364.39