Moment-constrained subspace identification using a priori knowledge

Masaki Inoue, Ayaka Matsubayashi, Shuichi Adachi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

This paper proposes a subspace identification method involving a priori knowledge characterized as the moment of the transfer function. First, it is shown that any moment defined on the complex plane is expressed in terms of the solution to a Sylvester matrix equation with real-valued coefficients. Then, incorporating the Sylvester equation with the conventional subspace method, we formulate a moment-constrained subspace identification problem. Application of a proper weight reduces the constrained identification problem to a non-constrained quadratic programming. Finally, we propose a two-stage identification procedure: First, in the preliminary identification stage, the moments are estimated by using a specific input signal. Then, in the main identification stage, a state-space model is constructed based on the proposed identification method using the measured input-output data and the estimated moments. The effectiveness of the two-stage procedure is shown in a numerical simulation.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2731-2736
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
Publication statusPublished - 2016 Feb 8
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: 2015 Dec 152015 Dec 18

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period15/12/1515/12/18

Fingerprint

Subspace Identification
Identification (control systems)
Moment
Quadratic programming
Transfer functions
Identification Problem
Sylvester Matrix Equation
Computer simulation
Sylvester Equation
Two-stage Procedure
Subspace Methods
State-space Model
Quadratic Programming
Argand diagram
Transfer Function
Knowledge
Numerical Simulation
Output
Coefficient

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Inoue, M., Matsubayashi, A., & Adachi, S. (2016). Moment-constrained subspace identification using a priori knowledge. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2016-February, pp. 2731-2736). [7402629] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402629

Moment-constrained subspace identification using a priori knowledge. / Inoue, Masaki; Matsubayashi, Ayaka; Adachi, Shuichi.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 2731-2736 7402629.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Inoue, M, Matsubayashi, A & Adachi, S 2016, Moment-constrained subspace identification using a priori knowledge. in Proceedings of the IEEE Conference on Decision and Control. vol. 2016-February, 7402629, Institute of Electrical and Electronics Engineers Inc., pp. 2731-2736, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402629
Inoue M, Matsubayashi A, Adachi S. Moment-constrained subspace identification using a priori knowledge. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2731-2736. 7402629 https://doi.org/10.1109/CDC.2015.7402629
Inoue, Masaki ; Matsubayashi, Ayaka ; Adachi, Shuichi. / Moment-constrained subspace identification using a priori knowledge. Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2731-2736
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