Nonlinear functional characterizations of uncertainty in model validation

Roy Smith; Geir Dullerud

doi:10.3182/20020721-6-es-1901.00436

Nonlinear functional characterizations of uncertainty in model validation

Roy Smith
, Geir Dullerud

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Model validation provides a useful means of assessing the ability of a model to account for a specific experimental observation, and has application to modeling, identification and fault detection. In this paper we consider a new approach to the linear fractional transformation (LFT) model validation problem by deploying quadratic functionals, and more generally nonlinear functionals, to specify noise and dynamical perturbation sets. Sufficient conditions for invalidation of such models are provided in terms of semidefinite programming problems.

Original language	English (US)
Title of host publication	IFAC Proceedings Volumes (IFAC-PapersOnline)
Editors	Gabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
Publisher	IFAC Secretariat
Pages	151-156
Number of pages	6
Edition	1
ISBN (Print)	9783902661746
DOIs	https://doi.org/10.3182/20020721-6-es-1901.00436
State	Published - 2002
Externally published	Yes
Event	15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain Duration: Jul 21 2002 → Jul 26 2002

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1
Volume	15
ISSN (Print)	1474-6670

Other

Other	15th World Congress of the International Federation of Automatic Control, 2002
Country/Territory	Spain
City	Barcelona
Period	7/21/02 → 7/26/02

Bibliographical note

Publisher Copyright:
Copyright © 2002 IFAC.

Keywords

Model validation
Nonlinear functionals
Semidefinite programming

Publisher link

10.3182/20020721-6-es-1901.00436

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Smith, R., & Dullerud, G. (2002). Nonlinear functional characterizations of uncertainty in model validation. In G. Ferrate, E. F. Camacho, L. Basanez, & J. A. de la Puente (Eds.), IFAC Proceedings Volumes (IFAC-PapersOnline) (1 ed., pp. 151-156). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 15, No. 1). IFAC Secretariat. https://doi.org/10.3182/20020721-6-es-1901.00436

Nonlinear functional characterizations of uncertainty in model validation. / Smith, Roy; Dullerud, Geir.
IFAC Proceedings Volumes (IFAC-PapersOnline). ed. / Gabriel Ferrate; Eduardo F. Camacho; Luis Basanez; Juan. A. de la Puente. 1. ed. IFAC Secretariat, 2002. p. 151-156 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 15, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Smith, R & Dullerud, G 2002, Nonlinear functional characterizations of uncertainty in model validation. in G Ferrate, EF Camacho, L Basanez & JA de la Puente (eds), IFAC Proceedings Volumes (IFAC-PapersOnline). 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1, vol. 15, IFAC Secretariat, pp. 151-156, 15th World Congress of the International Federation of Automatic Control, 2002, Barcelona, Spain, 7/21/02. https://doi.org/10.3182/20020721-6-es-1901.00436

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Nonlinear functional characterizations of uncertainty in model validation

Abstract

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Bibliographical note

Keywords

Publisher link

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