Adaptive parameter estimation for a class of distributed parameter systems with persistence of excitation

Author

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

Author_Institution

Univ. of Southern California, Los Angeles, CA, USA

fYear

1992

fDate

1992

Firstpage

1742

Abstract

The authors consider the adaptive (online) estimation of parameters for a class of distributed parameter evolution systems. A combined state and parameter estimator is constructed as an initial value problem for an infinite dimensional evolution equation in a weak or variational form. State convergence is established via a Lyapunov-like estimate. The finite-dimensional notion of persistence of excitation is extended to the infinite-dimensional case and used to establish parameter convergence. Results of numerical studies on a one-dimensional parabolic system are presented to demonstrate the feasibility of the approach

Keywords

adaptive control; control system synthesis; distributed parameter systems; initial value problems; parameter estimation; Lyapunov-like estimate; adaptive parameter estimation; distributed parameter systems; infinite dimensional evolution equation; initial value problem; one-dimensional parabolic system; parameter convergence; persistence of excitation; state convergence; state estimator; Artificial intelligence; Control systems; Convergence; Distributed parameter systems; Equations; Hilbert space; Mathematics; Parameter estimation; Partial differential equations; State estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1992., Proceedings of the 31st IEEE Conference on

Conference_Location

Tucson, AZ

Print_ISBN

0-7803-0872-7

Type

conf

DOI

10.1109/CDC.1992.371129

Filename

371129