Title :
Delay Identification in Nonlinear Differential Difference Systems
Author :
Michalska, Hannah ; Lu, Mu-Chiao
Author_Institution :
Dept. of Electr. & Comput. Eng., McGill Univ.
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377540
