Control of a Hyperchaotic System Via Generalized Backstepping Method


1 Faculty of Mechanical Engineering Takestan Branch, Islamic Azad University Qazvin, Iran

2 Faculty of Electrical, Biomedical and Mechatronic Engineering Qazvin Branch, Islamic Azad University Qazvin, Iran


 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for systems with strictly feedback form, but GBM works for a wide range form of the nonlinear dynamical systems. In Design procedure, two cases is considered that their difference is in the number of control inputs. Numerical simulation results are presented to show the effectiveness of the proposed controller.


  • Receive Date: 15 February 2012
  • Revise Date: 06 March 2012
  • Accept Date: 02 April 2012
  • First Publish Date: 01 July 2012