Title
Robust design of nonlinear internal models without adaptation
Abstract
We propose a solution to the problem of semiglobal output regulation for nonlinear minimum-phase systems driven by uncertain exosystems that does not rely upon conventional adaptation schemes to estimate the frequency of the exogenous signals. Rather, the proposed approach relies upon regression-like arguments used to derive a nonlinear internal model able to offset the presence of an unknown number of harmonic exogenous inputs of uncertain amplitude, phase and frequency. The design methodology guarantees asymptotic regulation if the dimension of the regulator exceeds a lower bound determined by the actual number of harmonic components of the exogenous input. If this is not the case, a bounded steady-state regulation error is ensured whose amplitude, though, can be arbitrarily decreased by acting on a design parameter of the regulator.
Year
DOI
Venue
2012
10.1016/j.automatica.2012.06.076
Automatica
Keywords
Field
DocType
Nonlinear output regulation,Robust control,Nonlinear internal model principle,Nonlinear observers
Regulator,Mathematical optimization,Nonlinear system,Upper and lower bounds,Control theory,Harmonic,Robust control,Mathematics,Internal model,Offset (computer science),Bounded function
Journal
Volume
Issue
ISSN
48
10
0005-1098
Citations 
PageRank 
References 
16
1.14
17
Authors
3
Name
Order
Citations
PageRank
Alberto Isidori141375.57
Lorenzo Marconi284593.46
Praly, L.31835364.39