Abstract
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-order0.95<q≤1in 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.
Highlights
Brushless DC motors (BLDCM) system [1–4] has several advantages over brushed DC motors, like elimination of ionizing sparks, overall reduction of electromagnetic interference, reduced noise, longer lifetime, increased efficiency and reliability, and so forth; BLDCM has been widely applied in positioning and actuation systems, motion control systems, radio controlled cars, and industrial automation design
A FO-BLDCM system is proposed in this paper
The chaotic motion can be presented in the FO-BLDCM system for 0.95 < q ≤ 1
Summary
Brushless DC motors (BLDCM) system [1–4] has several advantages over brushed DC motors, like elimination of ionizing sparks, overall reduction of electromagnetic interference, reduced noise, longer lifetime, increased efficiency and reliability, and so forth; BLDCM has been widely applied in positioning and actuation systems, motion control systems, radio controlled cars, and industrial automation design. Some results have shown that the chaotic motion can be presented in BLDCM system. The chaotic motion in BLDCM system is not acceptable in practical situations, because it can destroy the stable operation of the BLDCM system and can lead to system malfunction in practical applications. In order to control the chaotic motion in BLDCM system, some schemes have been presented [2–4]. Control of the fractional-order chaotic systems has been attracting more attention in recent years [17–20]. Based on the Lyapunov direct method for fractional-order system [21–23], we propose a control scheme to stabilize the FOBLDCM chaotic system.
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