Skip to main content
Top

2021 | OriginalPaper | Chapter

Low-Dimensional Decompositions for Nonlinear Finite Impulse Response Modeling

Authors : Maciej Filiński, Paweł Wachel, Koen Tiels

Published in: Computational Science – ICCS 2021

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper proposes a new decomposition technique for the general class of Non-linear Finite Impulse Response (NFIR) systems. Based on the estimates of projection operators, we construct a set of coefficients, sensitive to the separated internal system components with short-term memory, both linear and nonlinear. The proposed technique allows for the internal structure inference in the presence of unknown additive disturbance on the system output and for a class of arbitrary but bounded nonlinear characteristics.
The results of numerical experiments, shown and discussed in the paper, indicate applicability of the method for different types of nonlinear characteristics in the system.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Bai, E.W., Cerone, V., Regruto, D.: Separable inputs for the identification of block-oriented nonlinear systems. In: 2007 American Control Conference, pp. 1548–1553. IEEE (2007) Bai, E.W., Cerone, V., Regruto, D.: Separable inputs for the identification of block-oriented nonlinear systems. In: 2007 American Control Conference, pp. 1548–1553. IEEE (2007)
2.
go back to reference Boyd, S., Chua, L.: Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Trans. Circuits Syst. 32(11), 1150–1161 (1985)MathSciNetCrossRef Boyd, S., Chua, L.: Fading memory and the problem of approximating nonlinear operators with Volterra series. IEEE Trans. Circuits Syst. 32(11), 1150–1161 (1985)MathSciNetCrossRef
3.
go back to reference De Cock, A., Gevers, M., Schoukens, J.: D-optimal input design for nonlinear fir-type systems: a dispersion-based approach. Automatica 73, 88–100 (2016)MathSciNetCrossRef De Cock, A., Gevers, M., Schoukens, J.: D-optimal input design for nonlinear fir-type systems: a dispersion-based approach. Automatica 73, 88–100 (2016)MathSciNetCrossRef
4.
go back to reference Decuyper, J., Tiels, K., Runacres, M.C., Schoukens, J.: Retrieving highly structured models starting from black-box nonlinear state-space models using polynomial decoupling. Mech. Syst. Signal Process. 146, 106966 (2019)CrossRef Decuyper, J., Tiels, K., Runacres, M.C., Schoukens, J.: Retrieving highly structured models starting from black-box nonlinear state-space models using polynomial decoupling. Mech. Syst. Signal Process. 146, 106966 (2019)CrossRef
5.
go back to reference Enqvist, M., Ljung, L.: Linear models of nonlinear FIR systems with Gaussian inputs. IFAC Proc. Volumes 36(16), 1873–1878 (2003)CrossRef Enqvist, M., Ljung, L.: Linear models of nonlinear FIR systems with Gaussian inputs. IFAC Proc. Volumes 36(16), 1873–1878 (2003)CrossRef
6.
go back to reference Enqvist, M., Ljung, L.: Linear approximations of nonlinear FIR systems for separable input processes. Automatica 41(3), 459–473 (2005)MathSciNetCrossRef Enqvist, M., Ljung, L.: Linear approximations of nonlinear FIR systems for separable input processes. Automatica 41(3), 459–473 (2005)MathSciNetCrossRef
8.
go back to reference Kuo, F., Sloan, I., Wasilkowski, G., Woźniakowski, H.: On decompositions of multivariate functions. Math. Comput. 79(270), 953–966 (2010)MathSciNetCrossRef Kuo, F., Sloan, I., Wasilkowski, G., Woźniakowski, H.: On decompositions of multivariate functions. Math. Comput. 79(270), 953–966 (2010)MathSciNetCrossRef
9.
go back to reference Lee, E.A.: Cyber physical systems: design challenges. In: 2008 11th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing (ISORC), pp. 363–369. IEEE (2008) Lee, E.A.: Cyber physical systems: design challenges. In: 2008 11th IEEE International Symposium on Object and Component-Oriented Real-Time Distributed Computing (ISORC), pp. 363–369. IEEE (2008)
10.
go back to reference Schoukens, J., Ljung, L.: Nonlinear system identification: a user-oriented road map. IEEE Control Syst. Mag. 39(6), 28–99 (2019)MathSciNet Schoukens, J., Ljung, L.: Nonlinear system identification: a user-oriented road map. IEEE Control Syst. Mag. 39(6), 28–99 (2019)MathSciNet
11.
go back to reference Śliwiński, P., Marconato, A., Wachel, P., Birpoutsoukis, G.: Non-linear system modelling based on constrained Volterra series estimates. IET Control Theory Appl. 11(15), 2623–2629 (2017)MathSciNetCrossRef Śliwiński, P., Marconato, A., Wachel, P., Birpoutsoukis, G.: Non-linear system modelling based on constrained Volterra series estimates. IET Control Theory Appl. 11(15), 2623–2629 (2017)MathSciNetCrossRef
Metadata
Title
Low-Dimensional Decompositions for Nonlinear Finite Impulse Response Modeling
Authors
Maciej Filiński
Paweł Wachel
Koen Tiels
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-77977-1_28

Premium Partner