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Robustness in PID Control

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Book cover PID Control in the Third Millennium

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

Abstract

Robustness should not be taken for granted. After decades of gaining acceptance, Robust Control Theory has permeated practically every approach to controller design. Of course, PID cannot be an exception. The introduction of robustness considerations within the PID paradigm has created an active focus of research. During the last decades, a number of approaches have emerged introducing new considerations into the design of PID controllers by considering the robustness as a design specification. Of course, this can take several forms and formulations. This chapter specially concentrates on those approaches that lead to robust tuning rules. The use of different robustness measures is presented, and the importance of ensuring the specifications are met. This fact allows for a posterior analysis of the well-known (but not quantitatively analyzed) Robustness/Performance tradeoff. A possible route to this analysis is presented at the end of the chapter as a suggestion on how to approach this problem and have a clearer idea of the price paid for increasing the demand for robustness.

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Acknowledgements

This work has received financial support from the Spanish CICYT program under grant DPI2010-15230. Also, the financial support from the University of Costa Rica and from the MICIT and CONICIT of the Government of the Republic of Costa Rica is greatly appreciated.

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Authors and Affiliations

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

    Ramon Vilanova

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

    Víctor M. Alfaro & Orlando Arrieta

Authors
  1. Ramon Vilanova
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  2. Víctor M. Alfaro
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  3. Orlando Arrieta
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Correspondence to Ramon Vilanova .

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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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Vilanova, R., Alfaro, V.M., Arrieta, O. (2012). Robustness in PID Control. 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_4

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  • DOI: https://doi.org/10.1007/978-1-4471-2425-2_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2424-5

  • Online ISBN: 978-1-4471-2425-2

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