An H∞-norm-based approach for operating point selection and LPV model identification from local experiments
| Autor: | Guillaume Mercère, Daniel Vizer |
|---|---|
| Přispěvatelé: | Laboratoire d'Informatique et d'Automatique pour les Systèmes (LIAS), Université de Poitiers-ENSMA |
| Rok vydání: | 2014 |
| Předmět: |
0209 industrial biotechnology
Operating point Mathematical optimization Computer Networks and Communications Estimation theory System identification Parameterized complexity 02 engineering and technology Computer Science Applications Scheduling (computing) 020901 industrial engineering & automation Control theory Norm (mathematics) Signal Processing 0202 electrical engineering electronic engineering information engineering [INFO]Computer Science [cs] 020201 artificial intelligence & image processing Electrical and Electronic Engineering Software Information Systems Mathematics |
| Zdroj: | Periodica Polytechnica Electrical Engineering and Computer Science Periodica Polytechnica Electrical Engineering and Computer Science, 2014, 58 (3), ⟨10.3311/PPee.7354⟩ |
| ISSN: | 2064-5279 2064-5260 |
| DOI: | 10.3311/ppee.7354 |
| Popis: | When the identification of linear parameter-varying (LPV) models from local experiments is considered, the question of the necessary number of local operating points as well as the problem of the efficient interpolation of the locally-estimated linear time-invariant models arise. These challenging problems are tackled herein by using the H ∞ -norm. First, thanks to the nu-gap metric, an heuristic technique is introduced to optimize the number as well as the position of the local operating points (along a given trajectory of the scheduling variables) with respect to the information brought by the local models. Having access to a reliable set of local models, the second step of the procedure, i.e., the parameter estimation step, consists of the optimization a second H ∞ -norm-based cost function measuring the fit between the local information (represented by the locally-estimated LTI models) and the local behavior of a parameterized global LPV model. A special attention is given to parameterized LPV models satisfying a fully-parametrized or a physically-structured linear fractional representation. |
| Databáze: | OpenAIRE |
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