Set membership identification of Input output LPV models with uncertain time-varying parameters

V. Cerone, D. Piga, D. Regruto

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Abstract

In this chapter, we consider the identification of single-input single-output linear-parameter-varying models when both the output and the time-varying parameter measurements are affected by bounded noise. First, the problem of computing exact parameter uncertainty intervals is formulated in terms of semialgebraic optimization. Then, a suitable relaxation technique is presented to compute parameter bounds by means of convex optimization. Advantages of the presented approach with respect to previously published results are discussed.
LanguageEnglish
Title of host publicationLinear parameter-varying system identification : new developments and trends
EditorsP. Lopes dos Santos, T. Perdicoúlis, C. Novara, A. Ramos, D. Rivera
Place of PublicationSingapore
PublisherWorld Scientific
Pages41-64
ISBN (Print)978-981-4405-13-3
DOIs
StatePublished - 2011

Publication series

NameAdvanced Series in Electrical and Computer Engineering
Volume14

Fingerprint

Convex optimization
Identification (control systems)
Uncertainty

Cite this

Cerone, V., Piga, D., & Regruto, D. (2011). Set membership identification of Input output LPV models with uncertain time-varying parameters. In P. Lopes dos Santos, T. Perdicoúlis, C. Novara, A. Ramos, & D. Rivera (Eds.), Linear parameter-varying system identification : new developments and trends (pp. 41-64). (Advanced Series in Electrical and Computer Engineering; Vol. 14). Singapore: World Scientific. DOI: 10.1142/9789814355452_0003
Cerone, V. ; Piga, D. ; Regruto, D./ Set membership identification of Input output LPV models with uncertain time-varying parameters. Linear parameter-varying system identification : new developments and trends. editor / P. Lopes dos Santos ; T. Perdicoúlis ; C. Novara ; A. Ramos ; D. Rivera. Singapore : World Scientific, 2011. pp. 41-64 (Advanced Series in Electrical and Computer Engineering).
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Cerone, V, Piga, D & Regruto, D 2011, Set membership identification of Input output LPV models with uncertain time-varying parameters. in P Lopes dos Santos, T Perdicoúlis, C Novara, A Ramos & D Rivera (eds), Linear parameter-varying system identification : new developments and trends. Advanced Series in Electrical and Computer Engineering, vol. 14, World Scientific, Singapore, pp. 41-64. DOI: 10.1142/9789814355452_0003

Set membership identification of Input output LPV models with uncertain time-varying parameters. / Cerone, V.; Piga, D.; Regruto, D.

Linear parameter-varying system identification : new developments and trends. ed. / P. Lopes dos Santos; T. Perdicoúlis; C. Novara; A. Ramos; D. Rivera. Singapore : World Scientific, 2011. p. 41-64 (Advanced Series in Electrical and Computer Engineering; Vol. 14).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

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Cerone V, Piga D, Regruto D. Set membership identification of Input output LPV models with uncertain time-varying parameters. In Lopes dos Santos P, Perdicoúlis T, Novara C, Ramos A, Rivera D, editors, Linear parameter-varying system identification : new developments and trends. Singapore: World Scientific. 2011. p. 41-64. (Advanced Series in Electrical and Computer Engineering). Available from, DOI: 10.1142/9789814355452_0003