Abstract:In order to achieve the purpose of high-performance control, fractional order proportional and integral controller is applied and implemented for a permanent magnet synchronous motor (PMSM) velocity control system. This paper emphasizes tracking performance of AC PMSM velocity control system by applying the designed fractional order proportional and integral controller. Under the same conditions, use step input, triangle wave input and sinusoidal input signal respectively, simulation and experimental comparisons between the optimized integer order controller and the designed fractional order controller are presented to show that the designed fractional order proportional and integral controller outperforms the conventional optimal integer order controller in response speed and tracking performance.
王瑞萍, 皮佑国. 基于分数阶PI速度控制器的永磁同步电动机控制[J]. 电工技术学报, 2012, 27(11): 69-75.
Wang Ruiping, Pi Youguo. Fractional-Order PI Speed Controller for Permanent Magnet Synchronous Motor. Transactions of China Electrotechnical Society, 2012, 27(11): 69-75.
[1] Podlubny I. F ractional-order systems and controllers[J]. IEEE Transactions on Automatic Control, 1999, 44(1): 208-214. [2] Torvik P J, Bagley R L. On the appearance of the fractional derivative in the behavior of real material[J]. J of Applied Mechanics, Transaction of the ASMF, 1984, 51(2): 294-298. [3] Gary W. Bohannan. Analog Realization of a Fractional Control Element -Revisited. 2002. [4] Richard L Magin. Fractional calculus in bioengineering[J]. Critical Reviews TM in Biomedical Enginee- ring, 2004, 32: 1-4. [5] Lokenath Debnath. A brief historical introduction to fractional calculus[J]. Int. J. Math. Educ. Sci. Technol., 2004, 35(4): 487-501. [6] Chen Yangquan. Ubiquitous fractional order controllers[C]. Proceedings of the 2nd IFAC Symposium on Fractional Derivatives and Applications (IFAC FDA06, Plenary Paper), 2006: 19-21. [7] Xue D, Zhao C N, Chen Y Q. Fractional order pid control of a dc-motor with an elastic shaft: a case study[C]. Proceedings of American Control Conference, 2006: 3182-3187. [8] Blas M Vinagre, Chen Yangquan. Lecture notes on fractional calculus applications in automatic control and robotics[C]. The 41st IEEE CDC2002 Tutorial Workshop#2, pages1-310. [Online]http://mechatronics. ece. usu. edu/foc/cdc02 tw2 ln. pdf, Las Vegas, Nevada, USA, 2002. [9] Oustaloup A, Bluteau B. Systems Engineering in the Service of Humans[C]. Proeeedings of International Conference on System, Man and Cybernetics, 1993: 130-135. [10] Dorcak L. Numerical models for simulation the fractional- order control system[EB/OL]. Kosice, Slovak Republic: The Academy of Science Institute of Experimental Physics, 1994. [11] Podlubny I. Fractional-order systems and controllers[J]. IEEE Transactions on Automatic Control, 1999, 44(1): 208-214. [12] Monje C A, Vinagre B M, Chen Y Q, et al. Proposals for fractional PIλDμ-tuning[C]. Proceedings of the 1st IFAC Symposium on Fractional Differentiation and Its Applications, 2004: 1-6. [13] Zhao C N, Xue D Y, Chen Y Q. A fractional order PID tuning algorithm for a class of fractional order systems[C]. Proceedings of IEEE International Conference on Mechatronics & Automation, 2005: 216-221. [14] Li Hongsheng, Luo Ying, Chen Yangquan. A Fractional Order Proportional and Derivative (FOPD) Motion Controller: Tuning Rule and Experiments[J]. IEEE Transactions on Control Systems Technology, 2010, 18(2) : 516-520. [15] 陈伯时. 电力拖动自动控制系统——运动控制系统[M]. 北京: 机械工业出版社, 2003. [16] Oustaloup A, Sabatier J, Lanusse P. From fractional robustness to CRONE control[J]. Fractional Calculus Appl. Anal. , 1999, 2(1): 1-30. [17] Chen Yangquan. Impulse response invariant discretization of fractional order integrators/di erentiators compute a discrete-time finite dimensional(z) transfer function to approximate sr with r a real number. Category: Filter Design and Analysis, MATLAB Central, http://www.mathworks.com/matlabcentral/fileexchange/ loadFile. do objectId= 21342 objectType= FILE, 2008.