Robust control of wiener systems: Application to a ph neutralization process

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 co...

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Bibliographic Details
Authors: Biagiola, Silvina Ines, Agamennoni, Osvaldo Enrique, Figueroa, Jose Luis
Format: article
Status:Published version
Publication Date:2016
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/55905
Online Access:http://hdl.handle.net/11336/55905
Access Level:Open access
Keyword:PROCESS CONTROL
ROBUSTNESS
UNCERTAINTY
WIENER MODELS
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
Description
Summary: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.