Design of PID controller based on Maclaurin series with Impulse response as an input

Thirunavukkarasu, I and George, V I and Shanmugapriya, S (2011) Design of PID controller based on Maclaurin series with Impulse response as an input. In: Proceedings of National conference on power, Instrumentation energy and contro, 12-13 Feb 2011, AMU Aligarh .

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All the tuning relations reported in literature are based on the approximate plant models derived from the step response of the plant . In this present work, a new method for designing PID Controllers using the impulse response is proposed. Treating the impulse response of a plant as a statistical distribution, the mean and variance of the distribution are calculated and used in the calculation of PID controller parameters. Thus the proposed method requires no approximation of the plant by any model such first order plus dead time(FOPDT) or Second order plus dead time (SOPDT) model. A direct synthesis method of PID controller design is proposed that uses the first three terms of the Maclaurin series of the desired closed loop transfer function. The PID controller parameters are synthesized to match the closed loop response of the plant with the controller to the specified desired closed loop response. Only stable processes are considered . The derivation of PID controller tuning relations for the desired closed loop response models of types FOPDT and SOPDT is presented in third section. In order to test the appropriateness or suitability of the proposed approach of PID controller design , the bench mark problems reported in Lee (1998) and Skogested (2003) and corresponding closed loop transfer function parameters were chosen for comparative study .Simulation results and comparison of the proposed method with the other existing methods are tabulated.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: PID controller, Impulse response, Maclaurin series, Higher order systems.
Subjects: Engineering > MIT Manipal > Instrumentation and Control
Depositing User: MIT Library
Date Deposited: 27 Apr 2015 07:31
Last Modified: 27 Apr 2015 07:31

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