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Discrete-time linear parametric identification: An algebraic approach

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 parameter 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-ordermodel 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. Note added on November 17th, 2007.- An improved and extended version is available at
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Contributor : Michel Fliess Connect in order to contact the contributor
Submitted on : Wednesday, October 11, 2006 - 11:09:10 PM
Last modification on : Friday, February 4, 2022 - 3:17:03 AM
Long-term archiving on: : Tuesday, April 6, 2010 - 7:27:08 PM


  • HAL Id : inria-00105673, version 1



Michel Fliess, Stefan Fuchshumer, Kurt Schlacher, Hebertt Sira-Ramirez. Discrete-time linear parametric identification: An algebraic approach. 2èmes Journées Identification et Modélisation Expérimentale - JIME'2006, Nov 2006, Poitiers, France. ⟨inria-00105673⟩



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