Optimal Experiment Design in Closed Loop with Unknown, Nonlinear and Implicit Controllers using Stealth Identification
2014 (English)In: 2014 European Control Conference, ECC 2014, IEEE , 2014, 726-731 p.Conference paper (Refereed)
We present a novel optimal experiment design method that is applicable to linear time-invariant systems regulated by unknown, nonlinear and implicitly-defined controllers. Current methods require an explicit expression for the controller in order to construct the optimal excitation spectrum. Consequently, these are limited to linearly-controlled systems. The identification scheme suggested in this paper circumvents the aforementioned requirement by ensuring that the excitation signal remains unnoticed by the controller, i.e., the identification data is gathered in an open-loop fashion. Our theoretical analysis is complemented with a numerical study on a six-parameter, single-input single-output linear system controlled by an MPC. We find that our method generates least-costly excitation signals which deliver identified models that lie close to the true system whilst honoring quality constraints, validating the novel optimal experiment design framework.
Place, publisher, year, edition, pages
IEEE , 2014. 726-731 p.
Controllers, Design, Experiments, Identification (control systems), Invariance, Linear systems, Time varying control systems, Excitation signals, Identification data, Identification scheme, Linear time invariant systems, Optimal excitation, Optimal experiment design, Quality constraints, Single input single output
IdentifiersURN: urn:nbn:se:kth:diva-163494DOI: 10.1109/ECC.2014.6862354ISI: 000349955701004ScopusID: 2-s2.0-84911470111ISBN: 978-3-9524269-1-3OAI: oai:DiVA.org:kth-163494DiVA: diva2:800644
13th European Control Conference, ECC 2014, Strasbourg Convention and Exhibition CenterPlace de Bordeaux Strasbourg, France, 24 June 2014 through 27 June 2014
QC 201504072015-04-072015-04-072015-04-07Bibliographically approved