H∞-norm-based optimization for the identification of gray-box LTI state-space model parameters
| Autor: | Edouard Laroche, Daniel Vizer, Guillaume Mercère, Olivier Prot |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Gray box testing
0209 industrial biotechnology Mathematical optimization General Computer Science State-space representation Maximum eigenvalue Mechanical Engineering System identification Initialization 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences System dynamics Stable system 020901 industrial engineering & automation Control and Systems Engineering Norm (mathematics) 0101 mathematics Electrical and Electronic Engineering Mathematics |
| Zdroj: | Systems & Control Letters. 92:34-41 |
| ISSN: | 0167-6911 |
| DOI: | 10.1016/j.sysconle.2016.03.003 |
| Popis: | In this paper, the challenging problem of determining the unknown parameters of an identifiable LTI state-space representation of a stable system is addressed by resorting to a specific H∞-norm-based optimization algorithm. More specifically, by assuming the availability of a reliable fully-parameterized representation of the system to identify, the algorithm developed herein consists in restructuring this initial black-box representation of the system dynamics via the optimization of a dedicated maximum eigenvalue-based criterion. This study shows that this H∞-norm-based approach can be seen as a good solution for the identification of gray-box LTI state-space representations and, by extension, as an interesting alternative or a reliable initialization step for the standard output-error techniques. |
| Databáze: | OpenAIRE |
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