American Journal of Engineering and Applied Sciences

Chaos Control in Nonlinear Systems Using the Generalized Backstopping Method

A.R. Sahab and M. Haddad Zarif

DOI : 10.3844/ajeassp.2008.378.383

American Journal of Engineering and Applied Sciences

Volume 1, Issue 4

Pages 378-383


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.


© 2008 A.R. Sahab and M. Haddad Zarif. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.