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“Variable selection for decentralized control”

Authors: Sigurd Skogestad and Manfred Morari,
Affiliation: NTNU, Department of Chemical Engineering and California Institute of Technology
Reference: 1992, Vol 13, No 2, pp. 113-125.

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Keywords: DIC, relative gain array (RGA), steady-state, integral control, interactions

Abstract: Decentralized controllers (single-loop controllers applied to multivariable plants) are often preferred in practice because they are robust and relatively simple to understand and to change. The design of such a control system starts with pairing inputs (manipulated variables) and outputs (controlled variables). For a nxn plant there are n! possible pairings, and there is a great need for screening techniques to quickly eliminate undesirable pairings. In this paper we present several tests for eliminating pairings which are not decentralized integral controllable (DIC). A system is DIC if there exists a stabilizing decentralized controller with integral action such that the gains of the individual loops may be reduced independently without introducing instability. Note that the DIC is a property of the plant and the chosen pairings. The tests presented are in terms of different measures of the sign of the steady state gain matrix; including the RGA, the determinant and eigenvalues. The relationship to previously presented results is discussed in detail.

PDF PDF (1039 Kb)        DOI: 10.4173/mic.1992.2.3



DOI forward links to this article:
  [1] Miltiadis V. Papalexandris (2004), doi:10.1115/1.1789537
  [2] Nima Monshizadeh-Naini, Alireza Fatehi and Ali Kahki-Sedigh (2011), doi:10.1016/j.automatica.2010.10.008
  [3] Wolfgang Birk, Miguel Castaņo and Andreas Johansson (2014), doi:10.1016/j.conengprac.2013.12.012
  [4] Kwang-Ki K. Kim, Sigurd Skogestad, Manfred Morari and Richard D. Braatz (2014), doi:10.1016/j.compchemeng.2014.07.023
  [5] Kurt E. Haggblom (2008), doi:10.1109/ACC.2008.4587319
  [6] P.J. Campo and M. Morari (1994), doi:10.1109/9.284869
  [7] K.E. Haggblom (1997), doi:10.1109/CDC.1997.657774
  [8] Ali Reza Mehrabian and Caro Lucas (2006), doi:10.1109/IS.2006.348444
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  [10] Yi ZHANG, Steven Weidong Su, Andrey Savkin, Branko Celler and Hung Nguyen (2017), doi:10.1021/acs.iecr.7b02165
  [11] Miguel Castaņo Arranz, Wolfgang Birk and George Nikolakopoulos (2017), doi:10.1016/j.ifacol.2017.08.1536
  [12] Kurt E. Haggblom (2017), doi:10.1109/CCTA.2017.8062494


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BibTeX:
@article{MIC-1992-2-3,
  title={{Variable selection for decentralized control}},
  author={Skogestad, Sigurd and Morari, Manfred},
  journal={Modeling, Identification and Control},
  volume={13},
  number={2},
  pages={113--125},
  year={1992},
  doi={10.4173/mic.1992.2.3},
  publisher={Norwegian Society of Automatic Control}
};

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