Skip to main content

GFHM Model and Control for Uncertain Chaotic System

  • Conference paper
  • First Online:
Computational Intelligence (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4114))

Included in the following conference series:

Abstract

This paper develops a fuzzy hyperbolic control method for chaotic continuous-time systems with uncertainties. First, the generalized fuzzy hyperbolic model (GFHM) is used to model unknown part of a chaotic system. Second, based on Lyapunov functional approach, a sufficient condition for a fuzzy hyperbolic controller and a state feedback controller is given such that the closed-loop system is asymptotic stable. Moreover, considering the influence of both approximation error and external disturbance, fuzzy hyperbolic H ā€‰āˆžā€‰ control scheme is addressed . All the results are given in terms of LMI forms, the effectiveness of the proposed method is shown by a simulation example.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

Ā© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, D., Zhang, H., Wang, Z., Wang, Y. (2006). GFHM Model and Control for Uncertain Chaotic System. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-37275-2_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37274-5

  • Online ISBN: 978-3-540-37275-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics