Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:B3L-D
Session:
Number:B3L-D5
Optimal Backstepping Control for Genesio?Tesi chaotic system Using Genetic Algorithm
Mohammad Reza Modabbernia, Ali Reza Sahab, Masoud Taleb Ziabari, Seyed Amin Sadjadi Alamdari,
pp.450-453
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
This paper has presented chaos synchronization in the Genesio-Tesi using the backstepping approach. Backstepping approach consists of parameters which accept positive values. The parameters are usually chosen optionally. The system response is different for each value. It is necessary to select proper parameters to obtain a good response because the improper selection of the parameters leads to inappropriate responses or even to instability of system. Genetic algorithm can select appropriate and optimal values for the parameters. GA by minimizing the fitness function can find the optimal values for the parameters. This selected fitness function is for minimizing the least square error. Fitness function forces the system error to decline to zero rapidly that causes the system to have a short and optimal setting time. Fitness function also makes an optimal controller and causes overshoot to reach its minimum value. This hybrid makes an optimal backstepping controller.