Research Article Open Access

Chaos Control in Nonlinear Systems Using the Generalized Backstopping Method

A.R. Sahab1 and M. Haddad Zarif1
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American Journal of Engineering and Applied Sciences
Volume 1 No. 4, 2008, 378-383

DOI: https://doi.org/10.3844/ajeassp.2008.378.383

Submitted On: 26 September 2008 Published On: 31 March 2008

How to Cite: Sahab, A. & Zarif, M. H. (2008). Chaos Control in Nonlinear Systems Using the Generalized Backstopping Method. American Journal of Engineering and Applied Sciences, 1(4), 378-383. https://doi.org/10.3844/ajeassp.2008.378.383

Abstract

One of the most important nonlinear systems for checking the abilities of control methods is chaos. In this study chaos in Lorenz system was used for checking abilities of new control method. This new method to control nonlinear systems was called Generalized Backstepping method because of its similarity to Backstepping but its abilities to control more systems than Backstepping. This new method was applied to Lorenz system in three ways: 1. Stabilized states of equations. 2. Track step response. 3. Track sinusoidal response. In every way, simulations proved abilities of method. Comparing this new method with Backstepping showed that in this method, states stabilize at zero in shorter time than Backstepping and input control is more limited. So new method not only is used in more systems but also has better response.

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Keywords

  • Chaos
  • generalized backstepping method
  • lorenz system