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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1049-1050Review of Fractional Order Control

Review of Fractional Order Control

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Abstract:

With the development of mathematical theory of fractional order, fractional order control system is more widely studied and discussed. In order to make the theory system of fractional order control systems perfect,this paper give out the review of fractional order control systems.The fractional order controller is divided into five categories to be described.

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Periodical:

Advanced Materials Research (Volumes 1049-1050)

Pages:

983-986

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1049-1050.983

Citation:

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Online since:

October 2014

Authors:

Bo Yang Leng*, Zhi Dong Qi, Liang Shan, Hui Juan Bian

Keywords:

Fractional Calculus, Fractional Order, Fractional Order Controller

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

[1] 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 ASM F, 1984, 51 (2): 294-298.

DOI: 10.1115/1.3167615

[2] Oustaloup A , Mathieu B , Lanusse P. The crone control of resonant plants application to a flexible transmission[J]. European Journal of Control , 1995 , 1 (2) : 121-133.

DOI: 10.1016/s0947-3580(95)70014-0

[3] Matignon. Stability results for fractional differential equations with applications to control processing [C]. Computational Engineering in Systems and Application Multiconference . Lille: IMACSIEEE-SMC, (1996).

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

DOI: 10.1109/9.739144

[5] Wang Zhengbing, Cao Guangyi, Zeng Qingshan. Fractional PID controller and its digital implementation[J]. Journal of Shanghai Jiaotong University, 2004, 38(4): 517-520.

[6] Mou Jinshan. Fractional PID controller tuning study[D]. East China University Of Science and Technology, (2012).

[7] Wang Lin. Fractional order controller parameters self-tuning algorithm research[D]. Dalian Jiaotong University, (2012).

[8] S.F. Lacroix. Trait´e du calcul dierentiel et du calcul integral. Paris: Courcier, 1819.

[9] K.B. Oldham,J. Spanier. The Fractional Calculus: Integrations and Differentiations of Arbitrary Order. New York: Academic Press.

[10] K.S. Miller, B. Ross. An Introduction to the Fractional Calculus and Fractional Differential Equations. New York: Wiley-Interscience Publication, (1993).

[11] V.S. Kiryakova. Generalized Fractional Calculus and Applications. New York: John Wiley and Sons, (1994).

[12] I. Podlubny. Fractional Differential Equations. San Diego: Academic Press, (1999).

[13] R.R. Nishimoto. Fractional Calculus. Koriyama: Descartes Press Cor, (1984).

[14] Wu Juan. Fractional Control System[J]. control engineering, 2008, 15: 52-54.

[15] Zeng Qingshan. Fractional control systems research and its application in the MCFC[D]. Shanghai Jiaotong University, (2004).

[16] Lune B J. Three-parameter tunable tilt-integral derivative (TID) Controller [P]. US : US5371670 , (1994).

[17] Xue D, Chen Y. A Comparative Introduction of Four Fractional Order Controllers[C]. Proceedings of the 4th World Congress on Intelligent Control and Automation, 2002: 3228-3235.

DOI: 10.1109/wcica.2002.1020131

[18] Huang Lilian, Zhou Xiaolian, Xiang Jianhong. Adaptive Design of fractional order PID controller parameters. System Engineering and Electronics, 2013 (5).

[19] Deepya man Maiti, Sagnik Biswas, Amit Konar. Design of a Fractional Order PID Controller Using Particle Swarm Optimization Technique [C]. 2nd National Conference on Recent Trends in Information Systems.