Zhong Jianpeng, Li Lichuan
School of Electrical Engineering, Xi׳an Jiaotong University, 28 Xianning West Road, Xi׳an 710049, China.
ISA Trans. 2014 Jul;53(4):1232-42. doi: 10.1016/j.isatra.2014.05.008. Epub 2014 Jun 3.
This paper presents the application of fractional-order system identification (FOSI) and proportional-derivative (PD(µ)) control to a solid-core magnetic bearing (MB). A practical strategy for closed-loop incommensurate FOSI along with a modified error criterion is utilized to model the MB system and a corresponding, verification experiment is carried out. Based on the identified model, integer-order (IO) PD and fractional-order (FO) PD(µ) controllers are designed and compared with the same specifications. Besides, the relation between the two categories of controllers is discussed by their feasible control zones. Final simulation and experimental results show that the FO PD(µ) controller can significantly improve the transient and steady-state performance of the MB system comparing with the IO PD controller.
本文介绍了分数阶系统辨识（FOSI）和比例微分（PD(µ)）控制在实心磁轴承（MB）中的应用。采用一种用于闭环非 commensurate FOSI 的实用策略以及改进的误差准则对 MB 系统进行建模，并开展了相应的验证实验。基于辨识出的模型，设计了整数阶（IO）PD 和分数阶（FO）PD(µ)控制器，并在相同规格下进行比较。此外，通过两类控制器的可行控制区域讨论了它们之间的关系。最终的仿真和实验结果表明，与 IO PD 控制器相比，FO PD(µ)控制器能够显著提高 MB 系统的瞬态和稳态性能。
