IJSER Home >> Journal >> IJSER
International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 5    
Website: http://www.ijser.org
scirp IJSER >> Volume 2, Issue 5, May 2011 Edition
Tuning of FOPID Controller Using Taylor Series Expansion
Full Text(PDF, 3000)  PP.  
Ali Akbar Jalali, Shabnam khosravi
FOPID controller, Taylor series expansion, second order model.
In this paper, a direct synthesis approach to fractional order controller design Is investigated. The proposed algorithm makes use of Taylor series of both desired closed-loop and actual closed-loop transfer function which is truncated to the first five terms. FOPID Controller parameters are synthesized in order to match the closed-loop response of the plant to the desired closed-loop response. The standard and stable second-order model is considered for both plant and the desired closed-loop transfer functions. Therefore for a given plant with damping ratio and natural frequency . The tuned FOPID controller results in the desired closed-loop response with damping ratio and natural frequency . An example is presented that indicates the designed FOPID results in actual closed-loop response very close to desired response rather than PID controller. It is shown that the proposed method performs better than Genetic Algorithm in obtaining the desired response.
[1] Y.X. Su, Dong Sun, B.Y. Duan, ""Design of an enhanced nonlinear PID controller"", Mechatronics, Vol 15, No. 8, pp. 1005–1024, October 2005.

[2] Deepyaman Maiti, Ayan Acharya, Mithun Chakraborty, Amit Konar, Ramadoss Janarthanan, ""Tuning PID and PI  D Controllers using the Integral Time Absolute Error Criterion"", 4th IEEE International Conference on Information and Automation for Sustainability, Nov 2008.

[3] Igor Podlubny, ""Fractional-order systems and PI  D controllers"", IEEE Transactions on Automatic Control, Vol 44, No. 1, pp. 208–213, JANUARY 1999.

[4] Vinagre, B.M., Podlubny, I., Dorcak, L., Feliu, V., 2000. ""On fractional PID controllers: a frequency domain approach"". In: Proceedings of IFAC Workshop on Digital Control-PID, 2000, Terrassa, Spain.

[5] Petras, I., 1999. ""The fractional order controllers: methods for their synthesis and application"". Journal of Electrical Engineering 50 (9–10), 284–288, Apr 2000.

[6] JUN-YICAO, JIN LIANG, BING-GANG CAO, ""optimization of fractional order PID controllers based on genetic algorithms"", proceeding of fourth International Conference on Machine Learning and Cybernetics, Guangzhou, Vol 9, pp. 5686-5689, 18-21 August 2005.

[7] Deepyaman Maiti, Sagnik Biswas, Amit Konar, ""Design of a Fractional Order PID Controller UsingParticle Swarm Optimization Technique"", 2nd National Conference on Recent Trends in Information Systems Oct 2008.

[8] M. Ramasamya, S. Sundaramoorthy, ""PID controller tuning for desired closed-loop responses for SISO systems using impulse response"", Computers and Chemical Engineering 32 (2008) 1773– 1788.

[9] Arijit Biswas, Swagatam Das, Ajith Abraham, Sambarta Dasgupta, ""Design of fractional-order PI  D  controllers with an improved differential evolution"", Enginnering Application of Artificial Intelligence, Vol 22, No. 2, pp. 343-350, March 2009.

Untitled Page