{"title":"Fractional Order Feedback Control of a Ball and Beam System","authors":"Santosh Kr. Choudhary","volume":91,"journal":"International Journal of Electrical and Computer Engineering","pagesStart":1235,"pagesEnd":1242,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9999009","abstract":"
In this paper, fractional order feedback control of a ball
\r\nbeam model is investigated. The ball beam model is a particular
\r\nexample of the double Integrator system having strongly nonlinear
\r\ncharacteristics and unstable dynamics which make the control of
\r\nsuch system a challenging task. Most of the work in fractional order
\r\ncontrol systems are in theoretical nature and controller design and its
\r\nimplementation in practice is very small. In this work, a successful
\r\nattempt has been made to design a fractional order PIλDμcontroller
\r\nfor a benchmark laboratory ball and beam model. Better performance
\r\ncan be achieved using a fractional order PID controller and it is
\r\ndemonstrated through simulations results with a comparison to the
\r\nclassic PID controller.<\/p>\r\n","references":"[1] Podlubny I., Dorcak L. and Misanek J., 1995, \u201dApplication of\r\nfractional-order derivatives to calculation of heat load intensity change\r\nin blast furnace walls\u201d, Transactions of Tech. Univ. of Kosice, vol. 5,\r\nno. 5, pp.137-144.\r\n[2] Monje C. A., Vinagre B. M., Feliu V. and Chen Y.Q. 2008, \u201dTuning and\r\nAuto-Tuning of Fractional Order Controllers for Industry Application\u201d,\r\nControl Engineering Practice, pp. 798-812.\r\n[3] Chen Y.Q., Petras I. and Dingyu Xue., 2009, \u201dFractional Order Control:\r\nA Tutorial\u201d, American Control conference, June 10-12\r\n[4] Podlubny I., 1994, \u201dFractional-order systems and fractional-order\r\ncontrollers\u201d, The Academy of Sciences Institute of Experimental\r\nPhysics, Kosice, Slovak Republic.\r\n[5] Podlubny, I., 1999, \u201dFractional-order systems and PI\u03bbD\u03bc-controllers\u201d,\r\nIEEE Trans. Automatic Control, vol. 44, pp. 208-214.\r\n[6] Petras I., 1999, \u201dThe fractional-Order Controllers: Methods for their\r\nSynthesis and Application\u201d, Journal of Electrical Engineering, No. 9-10,\r\npp. 284288.\r\n[7] Monje C.A., Chen Y.Q., Vinagre B.M., Dingy Xue and Vicente F., 2010,\r\n\u201dFractional order systems and controls: Fundamentals and application\u201d,\r\nSpringer-Verlag, London\r\n[8] Manabe S., 2002, \u201dA suggestion of fractional-order controller for flexible\r\nspacecraft attitude Control\u201d, Nonlinear Dynamics 29, 251-268.\r\n[9] Petras I. and Vinagre B. M., 2002 \u201dPractical application of digital\r\nfractional-Order controller to temperature control\u201d, Acta Montanistica\r\nSlovaca 7, No. 2, 131-137.\r\n[10] Zhao Xue D. and Chen Y.Q., 2006, \u201dFractional order PID control of a\r\nDC-Motor with elastic shaft: a case study\u201d, Proc. of the 2006 American\r\nControl Conference, Minneapolis, Minnesota, USA, June 14-16, pp.\r\n3182-3187.\r\n[11] Wen, Yu. and Floriberto, Ortiz., 2005, \u201dStability analysis of PD\r\nregulation for ball and beam system\u201d, Proceedings of the 2005 IEEE\r\nConference on Control Applications, pp. 517-522.\r\n[12] Googol Technology, 2006, \u201dBall and beam GBB1004 users guide and\r\nexperiment manual\u201d, 3rd edition.\r\n[13] Eberhart R. and Shi, Y., 2001, \u201dParticle swarm optimization:\r\ndevelopments, applications and resources\u201d, Proc. IEEE Int. Conf. on\r\nEvolutionary Computation, 81-86","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 91, 2014"}