On the persistence of excitation in the adaptive estimation of distributed parameter systems

Author

Demetriou, M.A. ; Rosen, I.G.

Author_Institution

Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA

Volume

39

Issue

5

fYear

1994

fDate

5/1/1994 12:00:00 AM

Firstpage

1117

Lastpage

1123

Abstract

Persistence of excitation is a sufficient condition for parameter convergence in adaptive identification schemes for dynamical systems. For abstract parabolic and hyperbolic distributed parameter systems, this condition requires that a family of bounded linear functionals be norm bounded away from zero. The level of persistence of excitation of the plant and its implications are considered for a simple parabolic and hyperbolic system. Its effect on the qualitative and quantitative behavior of the estimators is investigated

Keywords

convergence; distributed parameter systems; functional equations; identification; abstract parabolic systems; adaptive estimation; adaptive identification; bounded linear functionals; distributed parameter systems; dynamical systems; hyperbolic systems; norm bounded; parameter convergence; persistence of excitation; qualitative behavior; quantitative behavior; sufficient condition; Adaptive control; Adaptive estimation; Convergence; Damping; Distributed parameter systems; Nonlinear equations; Parameter estimation; Partial differential equations; Sufficient conditions; Tuning;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.284907

Filename

284907