Identification with nonparametric uncertainty

1 June 1992

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 37 (6) , 715-728
https://doi.org/10.1109/9.256327

Abstract

An identification technique that is robust to nonparametric uncertainty (i.e. model mismatch) is presented. The identifier produces either a parameter set estimate or a frequency response set estimate. The estimates result from the inclusion of a model of the nonparametric uncertainty in the plant model. The frequency response set estimate is shown to always contain the frequency response of the plant as long as certain modeling conditions are met. This type of identifier would be useful in applications such as control where a property such as stability or performance level must be achieved in the face of low-order modeling and its associated nonparametric uncertainty.

Keywords

This publication has 12 references indexed in Scilit:

Identification with non-parametric uncertainty
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2002
Identification in H ∞ : A Robustly Convergent Nonlinear Algorithm
Published by Springer Nature ,1990
Parameter set estimation of systems with uncertain nonparametric dynamics and disturbances
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1990
Adaptive control via parameter set estimation
International Journal of Adaptive Control and Signal Processing, 1988
A recursive estimation algorithm using selective updating for spectral analysis and adaptive signal processing
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics
IEEE Transactions on Automatic Control, 1985
Analysis of Rohrs counterexamples to adaptive control
Published by Institute of Electrical and Electronics Engineers (IEEE) ,1983
On the value of information in system identification—Bounded noise case
Automatica, 1982
Adaptive frequency sampling filters
IEEE Transactions on Circuits and Systems, 1981
System identification via membership set constraints with energy constrained noise
IEEE Transactions on Automatic Control, 1979