2016
DOI: 10.1590/0104-6632.20160331s00002846
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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 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, w… Show more

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Cited by 9 publications
(10 citation statements)
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“…The structure from Figure 3 suggests that, for an accurately identified nonlinearity, the nonlinear closed-loop characteristics will be those of the linear element (Biagiola et al, 2016). In a frequency domain context, and considering that uncertainty d f s is small, the controlled process Bode plot will remain bounded withing a certain region with respect to the linear frequency domain plot in Figure 8.…”
Section: Frequency Domain Evaluationmentioning
confidence: 99%
“…The structure from Figure 3 suggests that, for an accurately identified nonlinearity, the nonlinear closed-loop characteristics will be those of the linear element (Biagiola et al, 2016). In a frequency domain context, and considering that uncertainty d f s is small, the controlled process Bode plot will remain bounded withing a certain region with respect to the linear frequency domain plot in Figure 8.…”
Section: Frequency Domain Evaluationmentioning
confidence: 99%
“…The general representation of a pH system is given by (Alina & Madalina, 2016;Bharathi et al, 2007;Biagiola et al, 2016;Darab et al, 2012;Elameen et al, 2014;Rodriguez & Loparo, 2004), (5)…”
Section: System Modelingmentioning
confidence: 99%
“…Compared with the existing results using the normal nonlinearity inversion method, 3739 the proposed control design is based on the polynomial structure nonlinearity inversion approximation. As a consequence, we appeal the T-S fuzzy representation to decompose the existing nonlinearities into linear parts and facilitate the stability analysis and control synthesis.…”
Section: Introductionmentioning
confidence: 99%
“…Compared to the existing results regarding the identification 810,1214,17 and the control 12,3740 problems of MIMO Hammerstein models, we consider not only stability but also other control performances such as speed of response, tracking control, and attenuation of the disturbances effect.…”
Section: Introductionmentioning
confidence: 99%