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On positive systems with multivariable positive control: Process stabilization
DOI:10.1016/j.jprocont.2023.103128.png)
摘要
En 中文
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 is an element of 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.
Keyword:
Positive systems with positive control
Multivariable feedback control
Process stabilization
Process control
期刊
IF:
3.9
论文数:
3.5K
被引数:
7.3K


