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 Tracking unmodelled signals of nonlinear systems via robust sliding mode observer: Application to reacting systems

2007 ◽  
Vol 5 (01) ◽  
Author(s):  
R. Aguilar-López ◽  
G. Soto-Cortés ◽  
M.I. Nerí­a-González ◽  
R. Escarela-Pérez
Keyword(s):  
Sliding Mode ◽  
Temperature Measurements ◽  
Stirred Tank ◽  
Continuous Stirred Tank Reactor ◽  
Reaction Heat ◽  
Tank Reactor ◽  
On Line ◽  
Continuous Stirred Tank ◽  
Reacting Systems ◽  
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.

scholarly journals The Kronecker Summation Method for Robust Stabilization Applied to a Chemical Reactor

2011 ◽  
Vol 2011 ◽  
pp. 1-7 ◽  
Author(s):  
Radek Matušů ◽  
Jana Závacká ◽  
Roman Prokop ◽  
Monika Bakošová
Keyword(s):  
Exothermic Reaction ◽  
Robust Stabilization ◽  
Algebraic Approach ◽  
Rational Functions ◽  
Chemical Reactor ◽  
Theoretical Background ◽  
Summation Method ◽  
Continuous Stirred Tank Reactor ◽  
Interval System ◽  
Continuous Stirred Tank

The paper focuses on robust stabilization where the suitable parameters of a simple continuous-time PI controller are determined through a combination of the Kronecker summation method, sixteen plant theorem, and an algebraic approach to control design in the ring of proper and stable rational functions. The initial theoretical background is followed by an illustrative experiment which includes computation of the controller and verification of control results for a continuous stirred tank reactor with exothermic reaction modelled as a fourth-order interval system.

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.

scholarly journals Finite-Time Trajectory Tracking of Second-Order Systems Using Acceleration Feedback Only

Automation ◽  
2021 ◽  
Vol 2 (4) ◽  
pp. 266-277
Author(s):  
Romain Delpoux ◽  
Thierry Floquet ◽  
Hebertt Sira-Ramírez
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Algebraic Approach ◽  
Second Order ◽  
Asymptotic State ◽  
Control Input ◽  
Positioning Systems ◽  
Acceleration Feedback ◽  
On Line ◽  
Second Order Systems

In this paper, an algebraic approach for the finite-time feedback control problem is provided for second-order systems where only the second-order derivative of the controlled variable is measured. In practice, it means that the acceleration is the only variable that can be used for feedback purposes. This problem appears in many mechanical systems such as positioning systems and force-position controllers in robotic systems and aerospace applications. Based on an algebraic approach, an on-line algebraic estimator is developed in order to estimate in finite time the unmeasured position and velocity variables. The obtained expressions depend solely on iterated integrals of the measured acceleration output and of the control input. The approach is shown to be robust to noisy measurements and it has the advantage to provide on-line finite-time (or non-asymptotic) state estimations. Based on these estimations, a quasi-homogeneous second-order sliding mode tracking control law including estimated position error integrals is designed illustrating the possibilities of finite-time acceleration feedback via algebraic state estimation.

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.

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