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Improved PID controller tuning rules for performance degradation/robustness increase trade-off

Electrical Engineering volume 98, pages 233–243 (2016)Cite this article

Abstract

Definitely, robustness is an important feature that any control system must take into account, especially considering that the design is usually based on low-order linear models that represent the whole controlled process. The problem is that to include such characteristic implies a degradation in the system’s performance. With regard to the previous statement, this paper is concerned with the design of the closed-loop control system, to take into account the system performance to load-disturbance and to set-point changes and its robustness to variation of the controlled process characteristics. The aim is to achieve a good balance between the multiple trade-offs. Here, a PID control design is provided that looks for a robustness increase, allowing some degradation in the system’s combined performance. The proposed approach is complementary to the work presented by Arrieta and Vilanova (Simple PID tuning rules with guaranteed \(M_s\) robustness achievement, in 18th IFAC world congress, 2011; Ind Eng Chem Res 51(6):2666–2674, 2012. doi:10.1021/ie201655c); Arrieta et al. (Performance Degradation Driven PID controller design, in PID12, IFAC conference on advances in PID control, 2012).

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Acknowledgments

The financial support from the University of Costa Rica, under the Grants 731-B4-213 and 322-B4-218, is greatly appreciated. Also, this work has received financial support from the Spanish CICYT program under Grant DPI2013-47825-C3-1-R.

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Authors and Affiliations

  1. Instituto de Investigaciones en Ingeniería, Facultad de Ingeniería, Universidad de Costa Rica, San José, 11501-2060, Costa Rica

    O. Arrieta

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

    O. Arrieta & J. D. Rojas

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

    R. Vilanova & M. Meneses

Authors
  1. O. Arrieta
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  2. R. Vilanova
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  3. J. D. Rojas
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  4. M. Meneses
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Correspondence to O. Arrieta.

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Arrieta, O., Vilanova, R., Rojas, J.D. et al. Improved PID controller tuning rules for performance degradation/robustness increase trade-off. Electr Eng 98, 233–243 (2016). https://doi.org/10.1007/s00202-016-0361-x

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  • DOI: https://doi.org/10.1007/s00202-016-0361-x

Keywords

  • PID control
  • Robustness increase
  • Performance degradation