Abstract
ABSTRACTIn the present work, a simple method is proposed to calculate the parameters of a critically damped second-order transfer function model from the fractional step response of higher order systems. Five simulation examples are given to show the simplicity of the proposed method. The method makes use of a unique property of a critically damped second order plus time delay system (Harriott, Process Control, McGraw Hill, New Delhi), that, a time of 2.58τ is required to reach a fractional step response of 0.73. The time required to reach 0.35 (or any value) of fractional step response is also required. The derivation of the equations for the model parameters is simpler than that proposed by Rangaiah and Krishnaswamy (Ind. Engg. Chemistry Research, V 33, 1994, 1867–1871). The ISE and IAE values for the present method are compared with that of Rangaiah and Krishnaswamy. The method is also modified to get the model parameters of a FOPTD system: .
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