Anti-oscillation and chaos control of the fractional-order brushless DC motor system via adaptive echo state networks

作者：Luo, Shaohua^*; Li, Shaobo; Tajaddodianfar, Farid; Hu, Jianjun

来源：Journal of the Franklin Institute, 2018, 355(14): 6435-6453.

DOI：10.1016/j.jfranklin.2018.07.004

• SLIDING MODE CONTROL
• BACKSTEPPING CONTROL
• INPUT SATURATION
• NEURAL-NETWORK
• DELAY SYSTEMS
• SYNCHRONIZATION
• DESIGN
• OBSERVER
• FEEDBACK

This paper proposes anti-oscillation and chaos control scheme for the fractional-order brushless DC motor system wherein there exist unknown dynamics, immeasurable states and chaotic oscillation. Aimed at immeasurable states, the high-gain observers with fast convergence are presented to obtain the information of system states. To compensate uncertainties existing in the dynamic system, a finite-time echo state network with a weight is proposed to approximate uncertain dynamics while its weight is tuned by a fractional-order adaptive law online. Meanwhile a fractional-order filter is introduced to deal with the repeated derivative of the backstepping. Based on the fractional-order Lyapunov stability criterion, the anti-oscillation and chaos control scheme integrated with a high-gain observer, an echo state network and a filter are proposed by using recursive steps of backstepping. The proposed scheme guarantees the boundedness of all signals of the closed-loop system in the sense of global asymptotic stability, and also suppresses chaotic oscillation. Finally, the effectiveness of our scheme is demonstrated by simulation results.

• 出版日期2018-9
• 单位贵州大学; 淮阴工学院