Identifiability and excitation of linearly parametrized rational systems

Michel Gevers; Alexandre S Bazanella; Daniel F Coutinho; Soura Dasgupta

doi:10.1016/j.automatica.2015.10.028

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Identifiability and excitation of linearly parametrized rational systems

Journal article

Peer reviewed

Identifiability and excitation of linearly parametrized rational systems

Michel Gevers, Alexandre S Bazanella, Daniel F Coutinho and Soura Dasgupta

Automatica (Oxford), Vol.63, pp.38-46

01/2016

DOI: 10.1016/j.automatica.2015.10.028

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Abstract

This paper establishes identifiability and informativity conditions for a class of deterministic linearly parametrized scalar rational models. The class considered is rational in the state and polynomial in the input. The standard definitions of identifiability and informativity for linear systems are expanded to account for the situation, common for nonlinear deterministic systems, where the identification is achieved either through the application of an informative input or via the response to an informative initial condition. We provide necessary and sufficient conditions for identifiability from the initial state, respectively from the input, as well as necessary and sufficient conditions on the initial state to produce an informative experiment. We also provide sufficient conditions on the input to be informative when the initial condition is unknown and could therefore potentially destroy the transfer of information from the input to the regressor.

Identifiability

System identification

Nonlinear deterministic systems

Informative experiments

Details

Title: Subtitle: Identifiability and excitation of linearly parametrized rational systems
Creators: Michel Gevers - ICTEAM, Louvain University, B1348 Louvain la Neuve, Belgium
Alexandre S Bazanella - Department of Automation and Energy, Universidade Federal do Rio Grande do Sul, Brazil
Daniel F Coutinho - Department of Automation and Systems, Universidade Federal Santa Catarina, Florianopolis, SC, Brazil
Soura Dasgupta - Dept of Electrical and Computer Engineering, The University of Iowa, IA 52242, USA
Resource Type: Journal article
Publication Details: Automatica (Oxford), Vol.63, pp.38-46
DOI: 10.1016/j.automatica.2015.10.028
ISSN: 0005-1098
eISSN: 1873-2836
Publisher: Elsevier Ltd
Grant note: CNPq (http://dx.doi.org/10.13039/501100003593) CCF-0830747; EPS-1101284; CNS-1329657 / NSF (http://dx.doi.org/10.13039/100000001)
Language: English
Date published: 01/2016
Academic Unit: Electrical and Computer Engineering
Record Identifier: 9984083235302771

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