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Input-dependent structural identifiability of nonlinear systems
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Villaverde, Alejandro F., Evans, Neil D., Chappell, M. J. (Michael J.) and Banga, Julio R. (2019) Input-dependent structural identifiability of nonlinear systems. IEEE Control Systems Letters, 3 (2). pp. 272-277. doi:10.1109/LCSYS.2018.2868608 ISSN 2475-1456.
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Official URL: http://dx.doi.org/10.1109/LCSYS.2018.2868608
Abstract
A dynamic model is structurally identifiable if it is possible to infer its unknown parameters by observing its output. Structural identifiability depends on the system dynamics, output, and input, as well as on the specific values of initial conditions and parameters. Here we present a symbolic method that characterizes the input that a model requires to be structurally identifiable. It determines which derivatives must be non-zero in order to have a sufficiently exciting input. Our approach considers structural identifiability as a generalization of nonlinear observability and incorporates extended Lie derivatives. The methodology assesses structural identifiability for time-varying inputs and, additionally, it can be used to determine the input profile that is required to make the parameters structurally locally identifiable. Furthermore, it is sometimes possible to replace an experiment with time-varying input with multiple experiments with constant inputs. We implement the resulting method as a MATLAB toolbox named STRIKE-GOLDD2. This tool can assist in the design of new experiments for the purpose of parameter estimation.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||
| Library of Congress Subject Headings (LCSH): | Nonlinear systems, Mathematical models | ||||||||
| Journal or Publication Title: | IEEE Control Systems Letters | ||||||||
| Publisher: | IEEE | ||||||||
| ISSN: | 2475-1456 | ||||||||
| Official Date: | April 2019 | ||||||||
| Dates: |
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| Volume: | 3 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 272-277 | ||||||||
| DOI: | 10.1109/LCSYS.2018.2868608 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 24 October 2018 | ||||||||
| Date of first compliant Open Access: | 24 October 2018 | ||||||||
| RIOXX Funder/Project Grant: |
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