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Mathematical Problems in Engineering
Volume 2016, Article ID 3863147, 9 pages
Research Article

Optimization of the Parameters of RISE Feedback Controller Using Genetic Algorithm

1Faculty of Engineering, King Abdulaziz University, Rabigh 21911, Saudi Arabia
2Princess Fatima Alnijiris’s Research Chair for Advanced Manufacturing Technology (FARCAMT), King Saud University, Riyadh 11421, Saudi Arabia
3Industrial Engineering Department, King Saud University, Riyadh 11421, Saudi Arabia

Received 4 March 2016; Revised 22 May 2016; Accepted 7 June 2016

Academic Editor: Yan-Jun Liu

Copyright © 2016 Fayiz Abu Khadra et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A control methodology based on a nonlinear control algorithm and optimization technique is presented in this paper. A controller called “the robust integral of the sign of the error” (in short, RISE) is applied to control chaotic systems. The optimum RISE controller parameters are obtained via genetic algorithm optimization techniques. RISE control methodology is implemented on two chaotic systems, namely, the Duffing-Holms and Van der Pol systems. Numerical simulations showed the good performance of the optimized RISE controller in tracking task and its ability to ensure robustness with respect to bounded external disturbances.