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An introduction to algebraic discrete-time linear parametric identification with a concrete application

Abstract : An algebraic framework for continuous-time linear systems identification introduced in the literature some years ago has revealed as an interesting alternative way for on-line parametric identification. The present contribution aims at conveying those ideas to linear time-invariant discrete-time systems, with particular emphasis attached to application issues. To this end, an on-line linear identifier for n-th order systems is evolved, re-sorting to the operational representation of the dynamics. Being discussed on the basis of a fifth-order model of a drive-train, the numerical condition of the obtained setting of the identifier is found to suffer significantly with decreasing sampling times. A setting not experiencing these numerical problems is finally introduced by means of a re-parametrization of the identifier via application of the bilinear Tustin transform. The already implemented computer programs, where computer algebra plays an important role, are available.
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https://hal.inria.fr/inria-00188435
Contributor : Michel Fliess <>
Submitted on : Wednesday, April 9, 2008 - 10:32:45 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:20 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 4:25:43 PM

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Michel Fliess, Stefan Fuchshumer, Markus Schöberl, Kurt Schlacher, Hebertt Sira-Ramirez. An introduction to algebraic discrete-time linear parametric identification with a concrete application. Journal Européen des Systèmes Automatisés (JESA), Lavoisier, 2008, 42 (2-3), pp.210--232. ⟨inria-00188435v2⟩

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