Abstract
Gray-box identification is prevalent in modeling physical and networked systems. However, due to the non-convex nature of the gray-box identification problem, good initial parameter estimates are crucial for a successful application. In this paper, a new identification method is proposed by exploiting the low-rank and structured Hankel matrix of impulse response. This identification problem is recasted into a difference-of-convex programming problem, which is then solved by the sequential convex programming approach with the associated initialization obtained by nuclear-norm optimization. The presented method aims to achieve the maximum impulse-response fitting while not requiring additional (non-convex) conditions to secure non-singularity of the similarity transformation relating the given state-space matrices to the gray-box parameterized ones. This overcomes a persistent shortcoming in a number of recent contributions on this topic, and the new method can be applied for the structured state-space realization even if the involved system parameters are unidentifiable. The method can be used both for directly estimating the gray-box parameters and for providing initial parameter estimates for further iterative search in a conventional gray-box identification setup.
Original language | English |
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Title of host publication | IFAC-PapersOnLine |
Subtitle of host publication | Proceedings 20th IFAC World Congress |
Editors | Denis Dochain, Didier Henrion, Dimitri Peaucelle |
Place of Publication | Laxenburg, Austria |
Publisher | Elsevier |
Pages | 9462-9467 |
Volume | 50-1 |
DOIs | |
Publication status | Published - 2017 |
Event | 20th World Congress of the International Federation of Automatic Control (IFAC), 2017 - Toulouse, France Duration: 9 Jul 2017 → 14 Jul 2017 Conference number: 20 https://www.ifac2017.org |
Publication series
Name | IFAC-PapersOnLine |
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Number | 1 |
Volume | 50 |
Conference
Conference | 20th World Congress of the International Federation of Automatic Control (IFAC), 2017 |
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Abbreviated title | IFAC 2017 |
Country/Territory | France |
City | Toulouse |
Period | 9/07/17 → 14/07/17 |
Internet address |
Keywords
- convex-concave procedure
- Structured state-space model