Author details

5. Conclusions

Figure 9.

reflux signal.

24

each of the closed loop linear subsystems.

Plates 4, 6, and 8 light component estimation comparison.

Distillation - Modelling, Simulation and Optimization

composition of the plate 1 is 1 sec.

In this work a fuzzy observer to estimate the molar composition of the light component in each plate of a binary distillation column is presented. The observer is based on a Takagi-Sugeno fuzzy model of eight rules, taking as premise variables the light component composition in the condenser and in the boiler, as well as the

The gains are calculated by means of LMIs in order to guarantee the stability for

The fuzzy observer is validated in simulation by using real data from an 11-plate binary distillation column for an ethanol-water mixture, considering seven RTD temperature sensors and a 300-watt heating resistor. In order to validate the fuzzy observer convergence, different tests were carried out with ideal and different initial conditions between the nonlinear system and the fuzzy observer, as well as

The observer under different initial conditions has a convergence time of 45 sec.

Applying from two to seven perturbations to the nonlinear system, it is demonstrated that the observer is robust under multiple perturbations, enabling its imple-

disturbances in the light component composition in the nonlinear system.

mentation as a residual generator in a fault detection system.

It is also shown that the observer's convergence time under disturbances in the

Mario Heras-Cervantes<sup>1</sup> , Gerardo Marx Chávez-Campos<sup>2</sup> , Héctor Javier Vergara Hernández<sup>2</sup> , Adriana del Carmen Téllez-Anguiano<sup>2</sup> \*, Juan Anzurez-Marin<sup>1</sup> and Elisa Espinosa-Juárez<sup>1</sup>

1 UMSNH, DEPFIE, Morelia, Michoacán, México

2 TecNM/IT Morelia, Morelia, Michoacán, México

\*Address all correspondence to: actelleza@gmail.com

© 2019 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
