Control Lorenz chaos using optimal backstepping method

  • Authors:

  • A. R. Khalilzadeh;M. Taleb Ziabari

  • Affiliations:

  • Islamic Azad University, Iran;Faculty of Engineering, Mechatronic Group, Islamic Azad University

  • Venue:
  • ECCE'10/ECCIE'10/ECME'10/ECC'10 Proceedings of the European conference of chemical engineering, and European conference of civil engineering, and European conference of mechanical engineering, and European conference on Control
  • Year:
  • 2010

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Abstract

This article has demonstrated chaos Control in the Lorenz using the backstepping approach. Backstepping method has positive parameters. mostly, parameters are selected arbitrarily, the values of these parameters are significant because the incorrect values lead to instability. Genetic algorithm finds best values for parameters. GA by minimizing the fitness function can find the optimal values for the parameters. Fitness function forces the system error to decay to zero rapidly that it causes the system to have a short and optimal setting time. Fitness function also makes an optimal controller and causes overshoot to reach to its minimum value. This hybrid makes an optimal backstepping controller.