14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper FrB5.3

Ko, Sangho (Univ. of California at San Diego), Bitmead, Robert (Univ. of California San Diego)

Identifiability Analysis for Nonlinear Feedback Limit-Cycle Systems Using Harmonic Balance Methods

Scheduled for presentation during the Invited Session "Input and Perturbation Signal Design for System Identification II" (FrB5), Friday, March 31, 2006, 16:10−16:30, Mulubinba Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 16, 2018

Keywords Identifiability, Input and Excitation Design, Nonlinear System Identification

Abstract

This paper proposes a method for analyzing identifiability of inherently closed-loop systems with nonlinear feedback by determining the order of persistent excitation of the input to the linear part of the dynamics. The method is based on the harmonic balance and the double Fourier series which is used for approximately expressing the output of the nonlinearity in the feedback loop. It is shown that a multiplicative periodic reference signal enhances the identifiability of the system by the additional sinusoids with interweaving frequencies to the original unforced case.