Closed loop identification of nonlinear systems

Natasha Linard*, Brian D.O. Anderson, Franky De Bruyne

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

15 Citations (Scopus)

Abstract

In recent years, several new methods for the identification of approximate models of an open loop plant on the basis of closed loop data have been presented. In this paper, we extend two of these methods to the nonlinear case: we consider that both the plant and the controller can be nonlinear. The first method is a two-step procedure. The sensitivity function of the closed loop system is identified through a high order nonlinear model and it is used in the second step to simulate a noise free input signal for an open loop like identification of the plant. The second method identifies the right coprime factors of the plant through an open loop like identification of the filtered sensitivity and complementary sensitivity functions. For both methods, we assume that the measurement noise enters the system under a high SNR assumption.

Original languageEnglish
Pages (from-to)2998-3003
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
Publication statusPublished - 1997
Event36th IEEE Conference on Decision and Control, 1997 - San Diego, CA, USA
Duration: 10 Dec 199712 Dec 1997
https://ieeexplore.ieee.org/xpl/conhome/5239/proceeding

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