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Multivariable PID control by decoupling

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  • Juan Garrido
  • Francisco Vázquez
  • Fernando Morilla

Abstract

This paper presents a new methodology to design multivariable proportional-integral-derivative (PID) controllers based on decoupling control. The method is presented for general n × n processes. In the design procedure, an ideal decoupling control with integral action is designed to minimise interactions. It depends on the desired open-loop processes that are specified according to realisability conditions and desired closed-loop performance specifications. These realisability conditions are stated and three common cases to define the open-loop processes are studied and proposed. Then, controller elements are approximated to PID structure. From a practical point of view, the wind-up problem is also considered and a new anti-wind-up scheme for multivariable PID controller is proposed. Comparisons with other works demonstrate the effectiveness of the methodology through the use of several simulation examples and an experimental lab process.

Suggested Citation

  • Juan Garrido & Francisco Vázquez & Fernando Morilla, 2016. "Multivariable PID control by decoupling," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1054-1072, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1054-1072
    DOI: 10.1080/00207721.2014.911390
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    Cited by:

    1. Jie Fu & Jian Liu & Dongkai Xie & Zhe Sun, 2023. "Application of Fuzzy PID Based on Stray Lion Swarm Optimization Algorithm in Overhead Crane System Control," Mathematics, MDPI, vol. 11(9), pages 1-18, May.

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