Minimum time controller in a class of chemical reactors based on Lagrangian approach

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ricardo Aguilar-López ◽  
Juan L. Mata-Machuca
Keyword(s):  
Sliding Mode ◽  
Chemical Kinetic ◽  
Minimum Time ◽  
Continuous Stirred Tank Reactor ◽  
Chemical Reactors ◽  
Chemical Kinetic Model ◽  
Finite Time Convergence ◽  
Brachistochrone Problem ◽  
Convergence Performance ◽  
Continuous Stirred Tank

Abstract The main goal of this work is the construction of a class of controller, which employs directly a Lagrangian formulation to resolve the classical brachistochrone problem, this allows to obtain an optimal controller which reaches in a minimum time the stabilization of an isothermal continuous stirred tank reactor, whose chemical kinetic model is based on the power law. The proposed methodology is compared with an input/output linearizing which achieve asymptotic and exponential closed-loop convergence, sliding-mode controller with a finite time convergence and an exact gradient optimal control to compare the time convergence performance. Numerical experiments show the satisfactory performance of the proposed controller, despite sustained disturbances in the concentration input feed.

A New Robust Sliding-Mode Observer Design for Monitoring in Chemical Reactors

2004 ◽  
Vol 126 (3) ◽  
pp. 473-478 ◽  
Author(s):  
Rafael Martı´nez-Guerra ◽  
Ricardo Aguilar ◽  
Alexander Poznyak
Keyword(s):  
Sliding Mode ◽  
Industrial Applications ◽  
Observer Design ◽  
Temperature Measurements ◽  
Model Description ◽  
Chemical Reactors ◽  
Stirred Tank Reactors ◽  
Robust Observer ◽  
Continuous Stirred Tank ◽  
Algebraic Technique

The robust observer design for the online estimation of heat in continuous stirred tank reactors, containing nonstructured uncertainties within its model description as well as noisy temperature measurements, is addressed. The proposed observer contains a sliding-mode term and is designed based on Differential Algebraic technique. The concept of the algebraic observability for a given class of model uncertainty is introduced. It is applied to the uncertainty estimation from noisy temperature measurements providing a simple observer structure which turns out to be robust against output (sensors) noises as well as sustained disturbances. The performance of this observer is shown to be calculated numerically. The obtained results look promising for possible industrial applications.

Sliding-mode Observer for Uncertainty Estimation in a Class of Chemical Reactor: A Differential-Algebraic Approach

2007 ◽  
Vol 2 (3) ◽  
Author(s):  
Ricardo Aguilar-López
Keyword(s):  
Sliding Mode ◽  
Algebraic Approach ◽  
Chemical Reactor ◽  
Uncertainty Estimation ◽  
Temperature Measurements ◽  
Continuous Stirred Tank Reactor ◽  
Reaction Heat ◽  
On Line ◽  
Continuous Stirred Tank ◽  
Noisy Measurements

The problem of the on-line estimation of the reaction heat in a continuous stirred tank reactor from temperature measurements is addressed in this paper. The proposed uncertainty observer is based on differential algebraic techniques, such that the algebraic observability condition of the uncertainty from noisy temperature measurements is easily verified and the observer structure is very simple, which lead to feasible implementation. The observer proposed is robust against noisy measurements and sustained disturbances. The good performance of the observer is shown by means of numerical simulations and is compared with a nonlinear Luenberger-type observer.

scholarly journals Dynamical Adaptive Integral Sliding Backstepping Control of Nonlinear Nontriangular Uncertain Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Mahmood Pervaiz ◽  
Qudrat Khan ◽  
Aamer Iqbal Bhatti ◽  
Shahzad Ahmed Malik
Keyword(s):  
Control Strategy ◽  
Uncertain Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Control Law ◽  
Continuous Stirred Tank Reactor ◽  
Adaptive Backstepping ◽  
Recursive Procedure ◽  
Continuous Stirred Tank ◽  
Simulation Results

We present a control strategy for nonlinear nontriangular uncertain systems. The proposed control method is a synergy between the dynamic adaptive backstepping (DAB) and integral sliding mode (ISM) and is referred to as DAB-ISMC. Our main objective is to find a recursive procedure to transform a nontriangular system into an implementable form that enables designing a control law which almost eliminates the reaching-phase. The proposed method further facilitates minimization of chattering which is believed to be a shortcoming of the sliding mode control. In this methodology, the ISM, as an integrated subsystem of DAB, is introduced at the final stage of backstepping. This strategy works very well to obtain a system that is robust against model imperfections, matching and unmatching uncertainties. The DAB-ISMC method is applied on a continuous stirred tank reactor (CSTR) and simulation results obtained on Matlab are found to be very promising.

A Robust Extended State Observer for the Estimation of Concentration and Kinetics in a CSTR

2016 ◽  
Vol 14 (1) ◽  
pp. 481-490 ◽  
Author(s):  
Juan Diego Sánchez Torres ◽  
Héctor A. Botero ◽  
Esteban Jiménez ◽  
Oscar Jaramillo ◽  
Alexander G. Loukianov
Keyword(s):  
Heat Transfer ◽  
Activation Energy ◽  
State Estimation ◽  
Sliding Mode ◽  
Stirred Tank ◽  
Continuous Stirred Tank Reactor ◽  
Extended State ◽  
Tank Reactor ◽  
Estimation Scheme ◽  
Continuous Stirred Tank

AbstractThis paper presents a state estimation structure for a Continuous Stirred Tank Reactor (CSTR), by means of an Asymptotic Observer jointly with a disturbance high order sliding mode-based estimator. The proposed estimation scheme allows the asymptotic reconstruction of the concentration inside the reactor based on the measures of the temperature inside the reactor and the temperature inside the jacket, in presence of changes in the global coefficient of heat transfer $UA$, the Arrhenius constant ${k_0}$ and the activation energy E. Additionally, the structure is able to estimate $UA$ and the kinetics term ${k_0}{e^{- {E \over {RT}}}}$. The properties of the proposed scheme are proved mathematically and verified through numerical simulations.

Sign in / Sign up

Export Citation Format

Share Document