Summary This paper presents a generalized dynamic observer design for polytopic quasi–linear parameter‐varying systems where the parameters are depending on unmeasured state variables. It generalizes the existing results on the proportional observers and proportional‐integral observers. Conditions of existence and stability are given through the Lyapunov approach. Its design is obtained in terms of a set of linear matrix inequalities. A semiactive suspension example illustrates the performance and effectiveness of the proposed approach.

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Extractive distillation with salts, unlike other dehydration technologies, is better due to the null toxicity that exists in the distillate, since salt cannot be evaporated. With this distillation technology, it is possible to obtain a high concentration of ethanol, however, there are still problems in the control of the distillation columns in the presence of disturbances. The present work deals with the simulation and control of an extractive distillation column using CaCl2 as a separating agent, for which the Aspen Dynamics® simulator is used. The measurement and control of the ethanol composition are carried out by means of temperature, in addition, four control structures are evaluated and compared. These structures are L, D, LV, and DV, which are the most common in conventional distillation, and their performance is measured by means of deterministic indicators applying changes (disturbances) of composition and the flow rate in the main feed of the column. The most relevant results of this work lead to the fact that by applying a controller, it is possible to maintain the desired purity above the international purity standards (99% ethanol) that govern biofuels.

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