Analytical Design of Fractional Order Proportional Integral Controller for Spherical Tank

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Abstract:

This paper presents an analytical design method for fractional order proportional integral (FOPI) controller for the spherical tank which is modelled as a first order plus dead time (FOPDT) process. The design is based on the Bode’s ideal transfer function and fractional calculus. By using frequency domain, the proposed FOPI tuning rules are directly derived for a generalized first order plus dead time process and then applied to the transfer functions obtained at various operating points of the spherical tank. The performance of the designed FOPI controller is compared with the conventional integer order proportional integral derivative (IOPID) controller in simulation.

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279-284

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June 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] H W Bode , Network analysis and feedback amplifier design, NewYork: Van Nostrand, (1945).

Google Scholar

[2] Y Q Chen, T Bhaskaran, DXue Practical tuning rule development for fractional order proportional and integral controllers, ASME Journal of Computational and Nonlinear Dynamics, vol. 3 (2008).

DOI: 10.1115/1.2833934

Google Scholar

[3] Fabrizio Padula, AntonioVisioli, Tuning rules for optimal PID and fractional order PID controllers, Journal of process control, vol. 21, (2011) pp.69-81.

DOI: 10.1016/j.jprocont.2010.10.006

Google Scholar

[4] CA Monje, BM Vinagre, VFeliu, YQChen, Tuning and auto-tuning of fractional order controllers for industry applications, Control Engineering Practice, vol. 16, (2008) p.798–812.

DOI: 10.1016/j.conengprac.2007.08.006

Google Scholar

[5] Truong Nguyen Luan Vu, Moonyong Lee, Analytical design of fractional order proportional integral controllers for time delay processes, ISA Transactions., (2013).

DOI: 10.1016/j.isatra.2013.06.003

Google Scholar

[6] D Valerio , JS Da Costa , A review of tuning methods for fractional PIDs, Proceedings of the 4th IFAC workshop on fractional differentiation and its applications., (2010).

Google Scholar

[7] K. Sundaravadivu, K. Saravanan, Design of Fractional Order PID Controller for Liquid Level Control of Spherical Tank, European Journal of Scientific Research Vol. 84, No. 3, (2012) pp.345-353.

DOI: 10.1109/iccsce.2011.6190539

Google Scholar

[8] K. Sundaravadivu,., K. Saravanan, B Arun., Design of Fractional Order PID controller for liquid level control of spherical tank, IEEE, ICCSCE, Malaysia , (2011) p.291–295.

DOI: 10.1109/iccsce.2011.6190539

Google Scholar