Delay Identification in Nonlinear Differential Difference Systems

Author

Michalska, Hannah ; Lu, Mu-Chiao

Author_Institution

Dept. of Electr. & Comput. Eng., McGill Univ.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

2553

Lastpage

2558

Abstract

An algorithm for the identification of multiple time delays in nonlinear differential difference systems is proposed. The identification problem is posed as a minimization problem in Hilbert spaces and necessitates the computation of system sensitivity to delay perturbations. Delay identifiability conditions are stated in terms of the properties of the associated strong derivative of the adopted cost function with respect to perturbations in the delays. A generalized Newton type algorithm is then developed. Convergence of the identifier algorithm is rigorously assessed

Keywords

delays; difference equations; identification; minimisation; nonlinear differential equations; nonlinear systems; Hilbert space; adopted cost function; delay identifiability condition; delay identification; delay perturbation; generalized Newton type algorithm; identifier algorithm; minimization problem; multiple time delays; nonlinear differential difference system; system sensitivity; Control systems; Cost function; Delay effects; Delay systems; Hilbert space; Nonlinear control systems; Nonlinear systems; Power system modeling; Predictive models; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377540

Filename

4177491