Backstepping design of composition cascade control for distillation columns

Authors

  • Jose Alvarez-Ramirez,

    1. Dept. de Ingeniería de Procesos e Hidráulica, Universidad Autónoma Metropolitana-Iztapalapa, México D.F., 09340 México
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  • Jesus Alvarez,

    1. Dept. de Ingeniería de Procesos e Hidráulica, Universidad Autónoma Metropolitana-Iztapalapa, México D.F., 09340 México
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  • Rosendo Monroy-Loperena

    Corresponding author
    1. Ingeniería Molecular, Instituto Mexicano del Petróleo, Mexico D.F., 07730 México
    • Ingeniería Molecular, Instituto Mexicano del Petróleo, Mexico D.F., 07730 México
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Abstract

Although the cascade control of distillation columns had been extensively studied, some aspects still remain unexplored or unresolved. For instance, a unifying approach is needed to systematize the existing ad hoc controller constructions, to rigorously explain their remarkably robust property in using rather simple input-output linear models, and to explore the possibility of improving their construction and functioning. Some of these problems are addressed by the recently developed backstepping-passivation approach in constructive nonlinear control, yielding a systematic controller construction coupled to a simple tuning scheme that can be executed with standard tuning rules, a closed-loop stability criterion, an explanation of the closed-loop dynamics behavior, and controllers that perform better than existing ones. The applicability of the theoretical results and their controller construction-tuning schemes are illustrated by considering the single- and dual-point control cases of a binary acetone-ethanol distillation column.

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