On positive systems with multivariable positive control: Process stabilization

Horacio Leyva*, Ricardo Femat, Francisco A. Carrillo, Griselda Quiroz-Compean

*Autor correspondiente de este trabajo

Producción científica: Contribución a una revistaArtículorevisión exhaustiva


The process stabilization is tackled from the perspective of a family of positive systems with multivariable positive control. This framework is consistent because each of the n state variables and m control inputs in chemical processes is in R+. The aim is to provide multivariable positive feedback control schemes which take values in the hyperbox U∈R+m; while sufficient conditions are satisfied to ensure the stabilization process. Two approaches are discussed: the first is a sliding mode control based on hyperplanes intersecting a (n−m)-dimensional segment of the state space which comprises the equilibrium point; such scheme guarantees robust stability. The second is a continuous feedback stabilizer based on Lyapunov functions, which enhances convergence rate while stabilization is ensured. The process stabilization is shown with two examples: a heat exchanger and an isothermal continuous stirred tank reactor. Both examples illustrate the usefulness of the proposed framework of multivariable positive control.

Idioma originalInglés
Número de artículo103128
PublicaciónJournal of Process Control
EstadoPublicada - dic. 2023

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