ROBUST CONTROL OF WIENER SYSTEMS: APPLICATION TO A pH NEUTRALIZATION PROCESS

Abstract In this paper, the robustness of a typical control scheme for Wiener systems is studied. These systems consist of the cascade connection of a linear time invariant system and a static nonlinearity. To control this kind of systems, several approaches were discussed in the literature. Most of...

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Bibliographic Details
Published inBrazilian journal of chemical engineering Vol. 33; no. 1; pp. 145 - 153
Main Authors Biagiola, S. I., Agamennoni, O. E., Figueroa, J. L.
Format Journal Article
LanguageEnglish
Portuguese
Published Brazilian Society of Chemical Engineering 01.01.2016
Subjects
ENGINEERING, CHEMICAL
Wiener Models
Uncertainty
Robustness
Process Control
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Summary:Abstract In this paper, the robustness of a typical control scheme for Wiener systems is studied. These systems consist of the cascade connection of a linear time invariant system and a static nonlinearity. To control this kind of systems, several approaches were discussed in the literature. Most of these control schemes involve transformation of the measured variable as well as the setpoint, by the inverse of the nonlinear gain. The approach followed in this work uses the inverse model of the static nonlinear gain, while the uncertainty in the Wiener model is treated as a partitioned problem. The linear block is considered as a parameter-affine-dependent model and, on the other hand, the nonlinear block uncertainty is analyzed as a conic-sector. The robustness analysis is performed using µ-theory. The results are evaluated on the basis of a simulation of a pH neutralization process.
ISSN:0104-6632
1678-4383
0104-6632
DOI:10.1590/0104-6632.20160331s00002846