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On Measuring Closed-Loop Non-Linearity: A Topological Approach

Authors

  • Guan Tien Tan,

    1. Department of Chemical and Biological Engineering, The University of British Columbia, 2360 East Mall, Vancouver, BC, Canada V6T 1Z3
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  • Mihai Huzmezan,

    1. Department of Electrical and Computer Engineering, The University of British Columbia, 2332 Main Mall, Vancouver, BC, Canada V6T 1Z4
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  • K. Ezra Kwok

    Corresponding author
    1. Department of Chemical and Biological Engineering, The University of British Columbia, 2360 East Mall, Vancouver, BC, Canada V6T 1Z3
    • Department of Chemical and Biological Engineering, The University of British Columbia, 2360 East Mall, Vancouver, BC, Canada V6T 1Z3
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Abstract

The focal point of this paper is to develop a measure of closed-loop non-linearity. In this work, the Vinnicombe metric and the Quasi-Linear Parameter Varying representation of a non-linear system are exploited for this purpose. It is expected that the proposed measure can serve as a decision making tool for control engineers when considering whether a linear or a non-linear control strategy should be employed to close the loop for a non-linear system operating in a prescribed range.

Abstract

Dans cet article, on vise à mettre au point une mesure de la non linéarité en boucle fermée. À cette fin, on exploite dans ce travail la représentation des variations des paramètres quasi-linéaires et métriques de Vinnicombe pour un système non linéaire. On s'attend à ce que la mesure proposée puisse servir comme outil dans la prise de décisions pour les ingénieurs de contrôle au moment de considérer si une stratégie de contrôle linéaire ou non linéaire devrait être employée pour fermer la boucle pour un système non linéaire fonctionnant dans une gamme prescrite.

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