CHAOS CONTROL AND SYNCHRONIZATION USING SYNERGETIC CONTROLLER WITH FRACTIONAL AND LINEAR EXTENDED MANIFOLD

  • Morteza Pourmehdi Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran
  • Abolfazl Ranjbar Noei Associate Professor, Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol
  • Jalil Sadati Assistant Professor, Faculty of Electerical and Computer Engineering department, Babol Noshirvani University of Technology

Abstract

In this manuscript, for the first time, a fractional-order manifold in a synergetic approach using a fractional order controller is introduced. Furtheremore, in the synergetic theory a macro variable is expended into a linear combination of state variables. An aim is to increase the convergence rate as well as time response of the whole closed loop system. Quality of the proposed controller is investigated to control and synchronize a nonlinear chaotic Coullet system in comparison with an integer order manifold synergetic controller. The stability of the proposed controller is proven using the Lyapunov method. In this regard stabilizing control effort is yielded. Simulation result confirm convergence of states towards zero. This is achieved through a control effort with fewer oscillations and lower amplitude of signls which confirm feasibility of the control effort in practice.

KEYWORDS:  synergetic control theory; fractional order system; synchronization; nonlinear chaotic Coullet system; chaos control

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Author Biographies

Morteza Pourmehdi, Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran
Morteza Pourmehdi received his B.Sc. Degree in Robotic Engineering from Shahrood University of Technology, Shahrood, Iran, in 2011. He is currently M.Sc. student in Control Engineering at the Babol University of Technology, Babol, Iran. His Major interests are Fractional order Control, Optimal, Nonlinear control, Adaptive Control and Artificial Intelligent Systems.
Abolfazl Ranjbar Noei, Associate Professor, Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol
Abolfazl Ranjbar N. was born in Gorgan, Iran on 21st of Mar. 1964. He received B. Sc. in 1988 from Isfahan Univ. of Technology, IRAN, M. Sc. in 1992 from Tarbiat Modaress Univ., IRAN and Ph. D. in 2000 from Surrey Univ. UK all in Control Eng. Currently he is an associate prof. at Control Eng. Dept. of Babol Univ. of Tech., Babol, Iran. His research interests are Machine Control, Nonlinear and Chaos systems, Robust and Adaptive Control and Fractional Calculus.
Jalil Sadati, Assistant Professor, Faculty of Electerical and Computer Engineering department, Babol Noshirvani University of Technology
Jalil Sadati was born in Mazandaran, Iran, He received the B.Sc. degree in Control Engineering in 2002 from K.N. Toosi University of Technology, Tehran, Iran and M.Sc. in Control Engineering at Ferdowsi University of Mashhad in 2005 and PhD degree in control engineering from Mazandaran University in 2011, Iran. His research interests are Fractional Order Control, Nonlinear Control, and Artificial Intelligence.

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Published
2016-04-30
How to Cite
Pourmehdi, M., Ranjbar Noei, A., & Sadati, J. (2016). CHAOS CONTROL AND SYNCHRONIZATION USING SYNERGETIC CONTROLLER WITH FRACTIONAL AND LINEAR EXTENDED MANIFOLD. IIUM Engineering Journal, 17(1), 115-126. Retrieved from http://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/566
Section
Articles