Stabilization of a fractional-order chaotic brushless DC motor via a single input

作者：Zhou, Ping^*; Bai, Rong-ji; Zheng, Ji-ming

来源：Nonlinear Dynamics, 2015, 82(1-2): 519-525.

DOI：10.1007/s11071-015-2172-4

• Fractional-order brushless DC motor
• Chaotic attractor
• Generalized Gronwall inequality
• Mittag-Leffler function
• Control of chaos

A fractional-order brushless DC motor (BLDCM) system is proposed in this paper. By computer simulations, we find that the fractional-order BLDCM system exhibits a chaotic attractor for fractional order , and that the largest Lyapunov exponent varies depending on fractional-order q. Furthermore, in order to stabilize the fractional-order chaotic BLDCM system, two control strategies are presented via single input, based on the generalized Gronwall inequality and the Mittag-Leffler function. Numerical simulations are presented to verify the validity and feasibility of the proposed control schemes.

• 出版日期2015-10
• 单位重庆邮电大学