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Sensitivity and robust tuning of PID controllers with real differentiation

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Abstract

We analyze the operation of PID controllers both with ideal differentiation and with taking into account a real transfer function used to differentiate deviations of a controlled variable. A comparison is carried out between the sensitivities of automatic control systems equipped with a PID controller tuned to the minimum of the integral criterion for modulus and to the minimum of the linear integral criterion with the same stability margin in terms of the specified frequency indicator of oscillatory behavior. We also consider the possibility of setting a robust trade-off tuning guaranteeing that the specified stability margin will be preserved under the predicted pattern of change in the dynamics of the controlled plant.

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Authors and Affiliations

  1. Moscow Power Institute, Krasnokazarmennaya ul. 14, Moscow, 111250, Russia

    N. I. Smirnov, V. R. Sabanin & A. I. Repin

Authors
  1. N. I. Smirnov
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  2. V. R. Sabanin
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  3. A. I. Repin
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Original Russian Text © N.I. Smirnov, V.R. Sabanin, A.I. Repin, 2007, published in Teploenergetika.

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Smirnov, N.I., Sabanin, V.R. & Repin, A.I. Sensitivity and robust tuning of PID controllers with real differentiation. Therm. Eng. 54, 777–785 (2007). https://doi.org/10.1134/S0040601507100035

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  • DOI: https://doi.org/10.1134/S0040601507100035

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