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Fragility Evaluation of PI and PID Controllers Tuning Rules

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PID Control in the Third Millennium

Part of the book series: Advances in Industrial Control ((AIC))

Abstract

Currently, the design of Proportional Integral Derivative (PID) controllers must take into account the closed-loop control system performance to set-point and load-disturbance step changes, its robustness to the changes in the controlled process characteristics, the control effort smoothness and extreme requirements, and its fragility to the variation of the controller parameters. In this chapter, the early work on the controller fragility is revised and the Delta Epsilon Robustness and Performance Fragility Indices are presented as measurements of the loss of robustness and/or performance when the controller parameters change due to inaccuracies in its implementation or due to its final fine tuning. Using the Delta 20 Fragility Indices, the fragility index is defined when a controller may be considered as a robustness or performance resilient, non-fragile or fragile controller. The fragility of a tuning rule as a whole, its ability to produce robustness- and/or performance-non-fragile controllers, is evaluated using the fragility plots. It is shown that although a controller tuning rule can produce control systems with a constant nominal robustness over its entire range of application, the controller fragility is affected by the controlled process parameters and by the control algorithm implementation.

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Author information

Authors and Affiliations

  1. Departamento de Automática, Escuela de Ingeniería Eléctrica, Universidad de Costa Rica, 11501-2060, San José, Costa Rica

    Víctor M. Alfaro

  2. Departament de Telecomunicació i d’Enginyeria de Sistemes, Escola d’Enginyeria, Universitat Autònoma de Barcelona, Bellaterra, 08193, Barcelona, Spain

    Ramon Vilanova

Authors
  1. Víctor M. Alfaro
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  2. Ramon Vilanova
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Correspondence to Víctor M. Alfaro .

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Editors and Affiliations

  1. Dept of Telecommunic. & Systems Engin., School of Engineering, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, 08193, Spain

    Ramon Vilanova

  2. Facoltà di Ingegneria, Dipto. Elettronica per l'Automazione, Università Brescia, Via Branze 38, Brescia, 25123, Italy

    Antonio Visioli

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Alfaro, V.M., Vilanova, R. (2012). Fragility Evaluation of PI and PID Controllers Tuning Rules. In: Vilanova, R., Visioli, A. (eds) PID Control in the Third Millennium. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2425-2_12

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  • DOI: https://doi.org/10.1007/978-1-4471-2425-2_12

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2424-5

  • Online ISBN: 978-1-4471-2425-2

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