0
Research Papers

Adaptive Modified Hybrid Robust Projective Synchronization Between Identical and Nonidentical Fractional-Order Complex Chaotic Systems With Fully Unknown Parameters

[+] Author and Article Information
Hadi Delavari

Department of Electrical Engineering,
Hamedan University of Technology,
Hamedan 65155, Iran
e-mail: delavari@hut.ac.ir

Milad Mohadeszadeh

Department of Electrical Engineering,
Hamedan University of Technology,
Hamedan 65155, Iran
e-mail: m.mohadeszadeh@stu.hut.ac.ir

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 20, 2015; final manuscript received March 30, 2016; published online May 13, 2016. Assoc. Editor: Hiroshi Yabuno.

J. Comput. Nonlinear Dynam 11(4), 041023 (May 13, 2016) (10 pages) Paper No: CND-15-1224; doi: 10.1115/1.4033385 History: Received July 20, 2015; Revised March 30, 2016

In this paper, a robust adaptive sliding mode controller is proposed. Under the existence of external disturbances, modified hybrid projective synchronization (MHPS) between two identical and two nonidentical fractional-order complex chaotic systems is achieved. It is shown that the response system could be synchronized with the drive system up to a nondiagonal scaling matrix. An adaptive controller and parameter update laws are investigated based on the Lyapunov stability theorem. The closed-loop stability conditions are derived based on the fractional-order Lyapunov function and Mittag-Leffler function. Finally, numerical simulations are given to verify the theoretical analysis.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

State variables of drive and response for two identical fractional-order complex chaotic T systems

Grahic Jump Location
Fig. 2

The time response of the synchronization errors between two identical fractional-order complex chaotic T systems

Grahic Jump Location
Fig. 3

The time response of the adaptive controller parameters for two identical fractional-order complex chaotic T systems

Grahic Jump Location
Fig. 4

The time response of the adaptive controller parameters for two identical fractional-order complex chaotic T systems

Grahic Jump Location
Fig. 8

The time response of the adaptive controller parameters for two nonidentical fractional-order complex chaotic systems

Grahic Jump Location
Fig. 7

The time response of the adaptive controller parameters for two nonidentical fractional-order complex chaotic systems

Grahic Jump Location
Fig. 6

The time response of the synchronization errors between two nonidentical fractional-order complex chaotic systems

Grahic Jump Location
Fig. 5

State variables of drive and response for two nonidentical fractional-order complex chaotic systems

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In