doi:

DOI: 10.3724/SP.J.1187.2010.00162

Journal of Electronic Measurement and Instrument (电子测量与仪器学报) 2010/24:2 PP.162-166

Research on buck converter control based on fractional order PIλDμ controller


Abstract:
For promoting the performance of the Buck converter controlled by traditional PID controller, fractional order PIλDμ controller, which is the generalization of classical integer order PID controller, was proposed. It can be used for fractional order systems and some integer order systems, and may have some superior performances compared with the classical integer order PID controller. Then the genetic algorithm with global searching was used to select optimum parameters of fractional order PID controller based on ITAE performance criteria. The experiment results confirm that the fractional order PI λDμ controller make the controlled system has better static and dynamic properties and robustness under large parameters variation.

Key words:Buck converter,fractional order calculus,PIλDμ controller,parameters tuning

ReleaseDate:2014-07-21 15:13:34



[1] SMEDLEY K M, CUK S. One-cycle control of switch-ing converters [J]. IEEE Trans Power Electronics, 1995, 10(6): 625-633.

[2] KUGI A, SCHLACHER K. Nonlinear H∞-controller de-sign for a DC-to-DC power converter [J]. IEEE Trans Control Systems Technology, 1999, 7 (2): 230-237.

[3] LEE T S. Lagrangian modeling and passivity-based control of three-phase AC/DC voltage-source converters[J]. IEEE Trans Industrial Electronics, 2004, 51(4): 892-902.

[4] TAN S C, LAI Y M, TSE C K, et al. Adaptive feedfor-ward and feedback control schemes for sliding mode controlled power converters [J]. IEEE Trans Power Electronics, 2006, 21(1): 182-192.

[5] TSANG K M, CHAN W L. Adaptive control of power factor correction converter using nonlinear system iden-tification[J]. IEE Proceedings-Electric Power Applica-tions. 2005, 152(3): 627-633.

[6] LEYVA R, SALAMERO L M, JAMMES B. Identification and control of power converters by means of neural networks [J]. IEEE Trans CAS-I, 1997, 44 (8): 735-741.

[7] 李乔,吴捷.用于DC-DC变换器的非线性PID控制[J]. 华南理工大学学报, 2004, 32(5): 17-21. LI Q, WU J. Nonlinear PID control method applied to DC-DC converters [J]. Journal of South China University of Technology, 2004, 32(5): 17-21.

[8] 吴忠,史永丽. DC/DC升压变换器自适应-PID串级控制系统仿真研究[J]. 系统仿真学报, 2004, 16(5): 1013-1016. WU ZH, SHI Y L. Simulation study on adaptive-PID cascade control system of DC/DC boost power convert-ers[J]. Journal of System Simulation, 2004, 16(5): 1013-1016.

[9] BARBOSA R D, TENREIRO M J. A fractional calculus perspective of mechanical systems modeling[C]. In Control 2002 5th Portuguese Conference on Automatic Control, September 2002, 394-399.

[10] PODLUBNY I. Fractional-order systems and PIλDμ controllers [J]. IEEE Trans Automatic Control, 1999, 44 (1): 208-214.

[11] OUSTALOUP A, MELCHIOR P. The great principles of CRONE control[C]. Systems Engineering in the Service of Humans, Int Conf on Systems, Man and Cybernetics. Paris: Le Touquet, 1993: 118-129.

[12] LURIE J. Three-parameter tunable tilt-integral-deriva-tive (TID)controller[P]. US Patent US5371670, 1994.

[13] 徐宝松,涂亚庆,刘良兵.一种基于微元法和分数阶傅里叶变换VCO非线性度检测方法[J]. 电子测量与仪器学报, 2008, 22(5): 117-122. XU B S, TU Y Q, LIU L B. VCO Nonlinearity detection method based on element analytic and FRFT[J]. Journal of electronic measurement and instrument, 2008, 22(5): 117-122.

[14] 马红波,冯全源.BUCK型开关变换器最优PID控制器设计[J]. 电机与控制学报, 2008, 12(6): 639-643. MA H B, FENG Q Y. Optimized PID controller design for buck DC-DC switching converters[J]. Electronic machines and control, 2008, 12(6): 639-643.

[15] VALERIO D, DA-COSTA J. Tuning of fractional PID controllers with Ziegler-Nichols-type rules[J]. Signal Processing, 2006, 86(10): 2771-2784.

[16] CHUN N ZH, DING Y X, YAN Q CH. A fractional order PID tuning algorithm for a class of fractional order plants[C]. Proc. of the ICMA2005, Niagara, Canada, 2005: 216-2211.

[17] 薛定宇. 控制系统计算机辅助设计[M]. 第2版. 北京:清华大学出版社, 2006. XUE D Y. Computer aided control system design using Matlab language [M]. 2nd ed. Beijing: Tsinghua Univer-sity Press, 2006.

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