Related Experiment Video
Updated: Jul 19, 2026
10:37
Procedure to Evaluate the Efficiency of Flocculants for the Removal of Dispersed Particles from Plant Extracts
Published on: April 9, 2016
Nonlinear control of a multicomponent distillation process coupled with a binary distillation model as an EKF
Amiya Kumar Jana1, Saibal Ganguly, Amar Nath Samanta
1Department of Chemical Engineering, Birla Institute of Technology and Science-Pilani, Rajasthan-333 031, India. amiya_jana@yahoo.co.in
ISA Transactions
|October 27, 2006
Summary
A novel globally linearizing control (GLC) strategy using an Extended Kalman Filter (EKF) enhances multicomponent distillation control. The GLC-EKF shows superior performance over other methods, even with significant process mismatches.
Area of Science:
- Chemical Engineering
- Process Control
- Nonlinear Systems
Background:
- Multicomponent distillation processes are complex and challenging to control due to nonlinear dynamics.
- Existing control strategies often struggle with setpoint tracking and disturbance rejection in such systems.
- Globally Linearizing Control (GLC) offers a potential framework for managing nonlinearities.
Purpose of the Study:
- To design and evaluate a Globally Linearizing Control (GLC) strategy for multicomponent distillation.
- To integrate an Extended Kalman Filter (EKF) as a nonlinear state estimator within the GLC framework.
- To compare the performance of the proposed GLC-EKF controller against other control structures.
Main Methods:
- A nonlinear transformer, nonlinear closed-loop state estimator (EKF), and a linear external controller (PI) form the control system.
- A binary distillation column model is utilized as a state predictor for the EKF estimator.
- The GLC-EKF algorithm is benchmarked against GLC-ROOLE (Reduced-Order Open-Loop Estimator) and a dual-loop PI controller.
Main Results:
- The GLC-EKF control algorithm demonstrated superior performance in setpoint tracking and disturbance rejection.
- The proposed control strategy proved effective even when faced with significant process and predictor mismatches.
- The GLC-EKF outperformed the GLC-ROOLE control structure.
Conclusions:
- The developed GLC-EKF strategy provides an effective approach for controlling multicomponent distillation processes.
- The use of a simplified binary model for state prediction in the EKF is a viable strategy.
- GLC-EKF represents a significant advancement in distillation process control, offering robust performance.
Related Concept Videos
01:13Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
01:01Distillation: Vapor–Liquid Equilibria
Distillation is a separation technique that takes advantage of the boiling point properties of disparate elements in a mixture. To perform distillation, we begin by heating a miscible mixture of two liquids with a significant difference in boiling points (at least 20°C). As the solution heats up and reaches the bubble point of the more volatile component, some molecules of the more volatile component transition into the gas phase and travel upward into the condenser, which is a glass tube with...
01:26Feedback control systems
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
01:26Linear Approximation in Frequency Domain
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
01:29Nonideal Two-Component Liquid Solutions
Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
01:14Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model
The link model is a fundamental pharmacokinetic-pharmacodynamic (PK–PD) approach to account for delayed drug responses when the observed effect does not immediately correlate with the drug's plasma concentration peak. This delay is mathematically addressed by introducing an effect compartment concentration, Ce, which is kinetically linked to the plasma concentration, Cp, via a first-order rate constant, ke0. The linkage allows for a more accurate prediction of drug effects over time. A higher...