Model Analysis of Heat Transfer by Hammerstein systems and optical instrumentation

A new approach of H∞ filtering for combustion systems using optical instrumentation

“…1, heat is released by the soot particles within the flame in the form of electromagnetic waves and photons [21]. The non-monotonic evolution of heat in a combustion process is due to the following chemical reaction between oxidizer and hydrocarbon fuel (C x H y ) [21,22]:…”

“…On the other hand, the Hammerstein model where the nonlinear input function G is followed by a linear model and the output function F(ν(k)) = ν(k), describes a linear process controlled via a nonlinear saturating actuator [26] or nonlinear processes represented by a variable gain [27][28][29]. A block-oriented Hammerstein-Wiener model is suitably reduced to a Hammerstein model [22,30], because energy transfer in a combustion process measured by optical instrumentation presents a nonlinear response with respect to inlet air or fuel flow [2,5,6,31]. Besides, knowing that the optical output sensor (spectrometer) E c presents a linear relation with respect to the intensity of the photons emitted by the flame E c = T *…”

“…∂u . Linear approximations of the Hammerstein system to model combustion processes have been previously analyzed in [22,25].…”

“…3 presents a comparison between two distinct nonlinear approximations for the combustion dynamics using the same dataset. The first nonlinear representation, borrowed from [22,Figure 3a], is based on a Hammerstein-Wiener model. The second one, first presented in [25, Figure 1], is based on a Hammerstein model.…”

Recursive Identification for Fractional Order Hammerstein Model Based on ADELS

“…e Hammerstein model is a typical nonlinear model composed of static nonlinear links and dynamic linear links. It can reflect the characteristics of process characteristics and describe a series of nonlinear processes such as neutralization processes [8,9], lithium-ion battery thermal systems [10,11], heat dissipation systems [12], and so on.…”