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| HAL: inria-00188435, version 1 |
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| Journal Européen des Systèmes Automatisés (2008) |
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| Available versions | v1 (2007-11-17) | v2 (2008-04-09) |
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| An introduction to algebraic discrete-time linear parametric identification with a concrete application |
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| Michel Fliess 1, 2Stefan Fuchshumer 3 |
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| (2008) |
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| 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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| 1: | Laboratoire d'informatique de l'école polytechnique (LIX) |
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CNRS : UMR7161 – Polytechnique - X |
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| 2: | ALIEN (INRIA Futurs) |
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INRIA – Polytechnique - X |
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| 3: | Institut für Regelungstechnik und Prozessautomatisierung |
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Johannes Kepler Universität Linz |
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| 4: | Institut für Regelungstechnik und Prozessautomatisierung |
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Johannes Kepler Universität Linz |
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| 5: | CINVESTAV |
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| Domain | : | Computer Science/Automatic Control Engineering Computer Science/Modeling and Simulation Computer Science/Numerical Analysis Computer Science/Symbolic Computation Mathematics/Optimization and Control |
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| Discrete-time linear systems – z-transform – bilinear Tustin transform – parameter identification – on-line identifier – rapid sampling – computer algebra |
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| Attached file list to this document: | ||||||||||
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| inria-00188435, version 1 | |
| http://hal.inria.fr/inria-00188435 | |
| oai:hal.inria.fr:inria-00188435 | |
| From: Michel Fliess | |
| Submitted on: Friday, 16 November 2007 18:01:58 | |
| Updated on: Saturday, 17 November 2007 14:21:47 | |
