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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
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Author(s)
Ali Akbar Jalali, Shabnam khosravi
KEYWORDS
FOPID controller, Taylor series expansion, second order model.
ABSTRACT
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.
References
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