Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
On the Structure of Acyclic Binary Relations Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Robust Lookup Table Controller Based on Piecewise Multi-linear Model for Nonlinear Systems with Parametric Uncertainty

Authors : Tadanari Taniguchi, Michio Sugeno

Published in: Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications

Publisher: Springer International Publishing

Log in

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

search-config
loading …

Abstract

This paper proposes a robust lookup table controller based on piecewise multi-linear model for nonlinear systems with parametric uncertainty. We construct a piecewise multi-linear model of a nonlinear system. The model is a nonlinear approximation and the model can be derived from fuzzy if-then rules with singleton consequents. The piecewise model can be expressed as a lookup table. The model dynamics is described by multi-linear interpolation of the lookup table elements. We design a robust piecewise multi-linear controller for the piecewise model via feedback linearization. The robust piecewise controller can be also expressed as a lookup table. We apply the robust lookup table controller to ball and beam system as a nonlinear system with parametric uncertainty. Examples are shown to confirm the feasibility of our proposals by computer simulations.

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!

inform now

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!

inform now

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!

inform now
previous chapter Clustering of Propositions Equipped with Uncertainty
next chapter Credal C4.5 with Refinement of Parameters
Literature
1.
Ang, K.H., Chong, G., Li, Y.: PID control system analysis, design, and technology. IEEE Trans. Control Syst. Technol. 13(4), 559–576 (2005)CrossRef
2.
Li, Y.F., Lau, C.C.: Development of fuzzy algorithms for servo systems. IEEE Control Syst. Mag. 9(3), 65–72 (1989)CrossRef
3.
Wang, Q., Chang, L.: An intelligent maximum power extraction algorithm for inverter-based variable speed wind turbine systems. IEEE Trans. Power Electron. 19(5), 1242–1249 (2004)CrossRef
4.
Tan, K., Islam, S.: Optimum control strategies in energy conversion of pmsg wind turbine system without mechanical sensors. IEEE Trans. Energy Convers. 19(2), 392–399 (2004)CrossRef
5.
Sugeno, M.: On stability of fuzzy systems expressed by fuzzy rules with singleton consequents. IEEE Trans. Fuzzy Syst. 7(2), 201–224 (1999)CrossRef
6.
Goh, K.C., Safonov, M.G., Papavassilopoulos, G.P.: A global optimization approach for the BMI problem. In: Proceedings of the 33rd IEEE CDC, pp. 2009–2014 (1994)
7.
Taniguchi, T., Sugeno, M.: Piecewise bilinear system control based on full-state feedback linearization. In: SCIS & ISIS 2010, pp. 1591–1596 (2010)
8.
Taniguchi, T., Sugeno, M.: Stabilization of nonlinear systems with piecewise bilinear models derived from fuzzy if-then rules with singletons. In: FUZZ-IEEE 2010, pp. 2926–2931 (2010)
9.
Taniguchi, T., Sugeno, M.: Design of LUT-controllers for nonlinear systems with PB models based on I/O linearization. In: FUZZ-IEEE 2012, pp. 997–1022 (2012)
10.
11.
Franco, A.L.D., Bourles, H., Pieri, E.R.D., Guillard, H.: Robust nonlinear control associating robust feedback linearization and H\(_\infty \) control. IEEE Trans. Autom. Control 51(7), 1200–1207 (2006)MathSciNetCrossRef
Metadata
Title
Robust Lookup Table Controller Based on Piecewise Multi-linear Model for Nonlinear Systems with Parametric Uncertainty
Authors
Tadanari Taniguchi
Michio Sugeno
Copyright Year
2018
Book
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications

Print ISBN: 978-3-319-91478-7

Electronic ISBN: 978-3-319-91479-4

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-91479-4_60

Premium Partner

    Image Credits