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Nonlinear Dynamics

, Volume 95, Issue 2, pp 1661–1672 | Cite as

Dynamic programming strategy based on a type-2 fuzzy wavelet neural network

  • Ardashir Mohammadzadeh
  • Weidong ZhangEmail author
Original Paper

Abstract

In this paper, an optimal control scheme, based on dynamic programming strategy, is presented for synchronization of uncertain fractional-order chaotic/hyperchaotic systems. In the scheme, a type-2 fuzzy wavelet neural network (T2FWNN) is proposed for estimation of the unknown functions in dynamics of system. For solving the fractional optimal control problem, fractional-order derivative is approximated by using Oustaloup recursive approximation method. Simulation studies verify the effectiveness of the proposed control scheme and the proposed T2FWNN.

Keywords

Dynamic programming Oustaloup recursive approximation Type-2 fuzzy wavelet neural network Fractional-order hyperchaotic systems 

Notes

Acknowledgements

This paper is partly supported by the National Science Foundation of China (61473183, 61627810, U1509211).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of Electrical EngineeringUniversity of BonabBonabIran
  2. 2.Department of AutomationShanghai Jiaotong UniversityShanghaiPeople’s Republic of China
  3. 3.School of Mechatronic Engineering and AutomationShanghai UniversityShanghaiPeople’s Republic of China

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