Feedback for nonlinear system identification

Thiago Burghi, Maarten Schoukens, Rodolphe Sepulchre

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Motivated by neuronal models from neuroscience, we consider the system identification of simple feedback structures whose behaviors include nonlinear phenomena such as excitability, limit-cycles and chaos. We show that output feedback is sufficient to solve the identification problem in a two-step procedure. First, the nonlinear static characteristic of the system is extracted, and second, using a feedback linearizing law, a mildly nonlinear system with an approximately-finite memory is identified. In an ideal setting, the second step boils down to the identification of a LTI system. To illustrate the method in a realistic setting, we present numerical simulations of the identification of two classical systems that fit the assumed model structure.

LanguageEnglish
Title of host publication2019 18th European Control Conference, ECC 2019
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages1344-1349
Number of pages6
ISBN (Electronic)978-3-907144-00-8
DOIs
StatePublished - 1 Jun 2019
Event18th European Control Conference, ECC 2019 - Naples, Italy
Duration: 25 Jun 201928 Jun 2019

Conference

Conference18th European Control Conference, ECC 2019
CountryItaly
CityNaples
Period25/06/1928/06/19

Fingerprint

Nonlinear System Identification
system identification
nonlinear systems
Nonlinear systems
Identification (control systems)
Feedback
neurology
static characteristics
Excitability
Nonlinear Phenomena
Feedback Law
Neuroscience
Identification Problem
Output Feedback
Model structures
System Identification
Chaos theory
Limit Cycle
chaos
Chaos

Keywords

  • Approximately-finite memory
  • Excitability
  • Nonlinear systems
  • Output feedback
  • Systems identification

Cite this

Burghi, T., Schoukens, M., & Sepulchre, R. (2019). Feedback for nonlinear system identification. In 2019 18th European Control Conference, ECC 2019 (pp. 1344-1349). [8795769] Piscataway: Institute of Electrical and Electronics Engineers. DOI: 10.23919/ECC.2019.8795769
Burghi, Thiago ; Schoukens, Maarten ; Sepulchre, Rodolphe. / Feedback for nonlinear system identification. 2019 18th European Control Conference, ECC 2019. Piscataway : Institute of Electrical and Electronics Engineers, 2019. pp. 1344-1349
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Burghi, T, Schoukens, M & Sepulchre, R 2019, Feedback for nonlinear system identification. in 2019 18th European Control Conference, ECC 2019., 8795769, Institute of Electrical and Electronics Engineers, Piscataway, pp. 1344-1349, 18th European Control Conference, ECC 2019, Naples, Italy, 25/06/19. DOI: 10.23919/ECC.2019.8795769

Feedback for nonlinear system identification. / Burghi, Thiago; Schoukens, Maarten; Sepulchre, Rodolphe.

2019 18th European Control Conference, ECC 2019. Piscataway : Institute of Electrical and Electronics Engineers, 2019. p. 1344-1349 8795769.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Burghi T, Schoukens M, Sepulchre R. Feedback for nonlinear system identification. In 2019 18th European Control Conference, ECC 2019. Piscataway: Institute of Electrical and Electronics Engineers. 2019. p. 1344-1349. 8795769. Available from, DOI: 10.23919/ECC.2019.8795769