TY - JOUR ID - 12516 TI - Hybrid Control to Approach Chaos Synchronization of Uncertain DUFFING Oscillator Systems with External Disturbance JO - International Journal of Robotics, Theory and Applications JA - IJR LA - en SN - 2008-7144 AU - Nekoui, Mohammad Ali AD - K.N. Toosi University of Technology Y1 - 2013 PY - 2013 VL - 3 IS - 1 SP - 28 EP - 34 KW - Synchronization KW - chaos KW - Linear quadratic regulation control KW - Sliding mode control KW - Neural network control KW - Hybrid control DO - N2 - This paper proposes a hybrid control scheme for the synchronization of two chaotic Duffing oscillator system, subject to uncertainties and external disturbances. The novelty of this scheme is that the Linear Quadratic Regulation (LQR) control, Sliding Mode (SM) control and Gaussian Radial basis Function Neural Network (GRBFNN) control are combined to chaos synchronization with respect to external disturbances. By Lyapunov stability theory, SM control is presented to ensure the stability of the controlled system. GRBFNN control is trained during the control process. The learning algorithm of the GRBFNN is based on the minimization of a cost function which considers the sliding surface and control effort. Simulation results demonstrate the ability of the hybrid control scheme to synchronize the chaotic Duffing oscillator systems through the application of a single control signal. UR - https://ijr.kntu.ac.ir/article_12516.html L1 - https://ijr.kntu.ac.ir/article_12516_ff3451d6aa41b54fc7336c58d8e04ae8.pdf ER -