Observer for LPV singular systems applied to a binary distillation column

Abstract

In this work the application of a full-order observer to a binary distillation column, using a strategy to simplify the nonlinear model is presented. Mainly for process system, it is feasible to use differential-algebraic equations for describing the dynamical behavior of the plant. A mathematical model is an extension of the traditional chemical and physical laws (such as the laws of conservation of mass, energy, momentum, etc.) to include the time-varying parameters which can be seen as singular systems. Then, the binary distillation column model is presented as a Linear Parameter Variant (LPV) singular system. Singular systems provide special features not found in traditional systems. In that sense, the proposed model maintains the dynamics and physical properties of the plant. The applied method guarantees the regularity and the convergence of the observer system.