Method for simultaneous state and parameter estimation in nonlinear systems

David Haessig, Bernard Friedland

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A new method for simultaneously estimating the state and unknown parameters in nonlinear dynamic systems is presented. The method, based on the State Dependent Riccati Equation (SDRE) Filtering technique, is shown to work well in a number of examples, one involving friction estimation and compensation, and another being a linear system with unknown coefficients. However, when the number of states and parameters is large, the filter can become computationally overburdened. This problem is addressed by developing a two-stage form of the new state/parameter estimator for systems affine in the unknown parameters.

Original languageEnglish (US)
Pages (from-to)947-951
Number of pages5
JournalProceedings of the American Control Conference
Volume2
StatePublished - Jan 1 1997

Fingerprint

Riccati equations
State estimation
Parameter estimation
Linear systems
Nonlinear systems
Dynamical systems
Friction
Compensation and Redress

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

@article{060b81a1f0ed4e1ea4c35ef95d14062d,
title = "Method for simultaneous state and parameter estimation in nonlinear systems",
abstract = "A new method for simultaneously estimating the state and unknown parameters in nonlinear dynamic systems is presented. The method, based on the State Dependent Riccati Equation (SDRE) Filtering technique, is shown to work well in a number of examples, one involving friction estimation and compensation, and another being a linear system with unknown coefficients. However, when the number of states and parameters is large, the filter can become computationally overburdened. This problem is addressed by developing a two-stage form of the new state/parameter estimator for systems affine in the unknown parameters.",
author = "David Haessig and Bernard Friedland",
year = "1997",
month = "1",
day = "1",
language = "English (US)",
volume = "2",
pages = "947--951",
journal = "Proceedings of the American Control Conference",
issn = "0743-1619",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

Method for simultaneous state and parameter estimation in nonlinear systems. / Haessig, David; Friedland, Bernard.

In: Proceedings of the American Control Conference, Vol. 2, 01.01.1997, p. 947-951.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Method for simultaneous state and parameter estimation in nonlinear systems

AU - Haessig, David

AU - Friedland, Bernard

PY - 1997/1/1

Y1 - 1997/1/1

N2 - A new method for simultaneously estimating the state and unknown parameters in nonlinear dynamic systems is presented. The method, based on the State Dependent Riccati Equation (SDRE) Filtering technique, is shown to work well in a number of examples, one involving friction estimation and compensation, and another being a linear system with unknown coefficients. However, when the number of states and parameters is large, the filter can become computationally overburdened. This problem is addressed by developing a two-stage form of the new state/parameter estimator for systems affine in the unknown parameters.

AB - A new method for simultaneously estimating the state and unknown parameters in nonlinear dynamic systems is presented. The method, based on the State Dependent Riccati Equation (SDRE) Filtering technique, is shown to work well in a number of examples, one involving friction estimation and compensation, and another being a linear system with unknown coefficients. However, when the number of states and parameters is large, the filter can become computationally overburdened. This problem is addressed by developing a two-stage form of the new state/parameter estimator for systems affine in the unknown parameters.

UR - http://www.scopus.com/inward/record.url?scp=0030662873&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030662873&partnerID=8YFLogxK

M3 - Article

VL - 2

SP - 947

EP - 951

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

ER -