Brief Prediction error methods for limit cycle data

Authors:
RaúL A. Casas;Robert R. Bitmead;Clas A. Jacobson;C.Richard Johnson, Jr.
Affiliations:
NxtWave Communications, One Summit Square, Langhorne, PA 19047, USA;Department of Mechanical & Aerospace Engineering, University of California, San Diego, La Jolla, CA 92093-0411, USA;United Technologies Research Center, MS15, 411 Silver Lane, East Hartford, CT 06108, USA;School of Electrical Engineering, Cornell University, Ithaca, NY 14853, USA
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

Prediction error methods are considered for identification of the forward linear dynamics of nonlinear feedback closed-loop systems which operate in a perturbed stable limit cycle. A model of the signals measured in a neighborhood of the limit cycle is presented and shown to satisfy a quasistationarity property. Quasistationarity is then used to prove that prediction error methods are both convergent and consistent for our data model.