Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov

作者：Zhou, Ping^*; Bai, Rongji; Cai, Hao

来源：Discrete Dynamics in Nature and Society, 2015, 2015: 750435.

DOI：10.1155/2015/750435

• BRUSHLESS DC MOTORS
• FRACTIONAL ORDER SYSTEMS
• CIRCUIT IMPLEMENTATION
• SYNCHRONIZATION
• EQUATIONS

Based on an integer-order Brushless DC motors (IO-BLDCM) system, we give a fractional-order Brushless DC motors (FO-BLDCM) system in this paper. There exists a chaotic attractor for fractional-order 0.95 < q <= 1 in the FO-BLDCM system. Furthermore, using the Lyapunov direct method for fractional-order system, a control scheme is proposed to stabilize the FO-BLDCM chaotic system in the sense of Lyapunov. Numerical simulation shows that the control scheme in this paper is valid for the FO-BLDCM chaotic system.

• 出版日期2015
• 单位重庆邮电大学