OBSERVER-BASED INPUT-OUTPUT LINEARIZATION CONTROL OF A MULTIVARIABLE CONTINUOUS CHEMICAL REACTOR

Title & Authors
OBSERVER-BASED INPUT-OUTPUT LINEARIZATION CONTROL OF A MULTIVARIABLE CONTINUOUS CHEMICAL REACTOR
Mohamed, Bouhamida; Bachir, Daaou; Abdellah, Mansouri; Mohammed, Chenafa;

Abstract
The goal of this paper is to develop a nonlinear observer-based control strategy for a multi-variables continuous stirred tank reactor (CSTR). A new robust nonlinear observer is constructed to estimate the whole process state variables. The observer is coupled with a nonlinear controller, designed based on the input-output linearization for controlling the concentration and reactor temperature. The closed loop system is shown to be globally asymptotically stable based on Lyapunov arguments. Finally, computer simulations are developed for showing the performance of the proposed controller.
Keywords
non-linear observer;feedback lin$\small{\acute{e}}$arizing controller;global stability;chemical reactor;
Language
English
Cited by
References
1.
R. Aguilar, Sliding-mode observer for uncertainty estimation in a class of chemical reactor: A differential-algebraic approach, Chemical Product and Process Modeling 2 (2007), no. 3, p. 10.

2.
R. Aguilar and R. Martinez-Guerra, State estimation for nonlinear systems under model unobservable uncertainties: application to continuous reactor, Chemical Engineering Journal 108 (2005), no. 1-2, 139-144.

3.
R. Aguilar, R. Martinez-Guerra, and R. Maya-Yescas, State estimation for partially unknown nonlinear systems: a class of integral high gain observers, IEE Proc. Contr. Theor. Appl. 150 (2003), no. 3, 240-244.

4.
R. Aguilar, R. Martinez-Guerra, and A. Poznyak, Reaction heat estimation in contin- uous chemical reactors using high gain observers, Chemical Engineering Journal 87 (2002), 351-356.

5.
T. Ahmed-Ali and F. Lamnabhi-Lagarrigue, Sliding observer-controller design for un- certain triangular nonlinear systems, IEEE Trans. Automat. Control 44 (1999), no. 6, 1244-1249.

6.
C. Canudas de Wit and J. Slotine, Sliding observers for robot manipulators, Automatica J. IFAC 27 (1991), no. 5, 859-864.

7.
B. Daaou, A. Mansouri, M. Bouhamida, and M. Chenafa, A robust nonlinear observer for state variables estimation in multi-input multi-output chemical reactors, International Journal of Chemical Reactor Engineering 6 (2008), A86.

8.
M. Farza, K. Busawon, and H. Hammouri, Simple nonlinear observers for on-line estimation of kinetic rates in bioreactors, Automatica J. IFAC 34 (1998), no. 3, 301-318.

9.
M. Farza, H. Hammouri, C. Jallut, and J. Lieto, State observation of a nonlinear system: application to (bio)chemical processes, A. I. Ch. E. Journal 45 (1999), no. 1, 93-106.

10.
J. P. Gauthier and G. Bonard, Observability for any u(t) of a class of nonlinear systems, IEEE Trans. Automat. Control 26 (1981), no. 4, 922-926.

11.
J. P. Gauthier, H. Hammouri, and S. A. Othman, A simple observer for nonlinear systems applications to bioreactors, IEEE Trans. Automat. Control 37 (1992), no. 6, 875-880.

12.
J. Gonzalez-Trejo, J. A. Ramirez, and G. Fernandez, Robust control with uncertainty estimation for feedback linearizable systems: application to control of distillation columns, J. Proc. Cont. 9 (1999), no. 3, 221-231.

13.
M. Groebel, F. Allg¨ower, M. Storz, and E. D. Gilles, Asymptotically exact I/O- linearization of an industrial distillation column, Proceedings of the 1995 American Control Conference (ACC 95), Seattle, Washington, USA, 21-23, pp. 2648-2652, June 1995.

14.
M. Henson and D. Seborg, Input/output linearization of general nonlinear processes, AIChE Journal 36 (1990), no. 11, 1753-1757.

15.
A. Isidori, Nonlinear Control Systems, Springer-Verlag, New York, 1989.

16.
A. K. Jana, A. N. Samanta, and S. Ganguly, Globally linearized control on diabatic continuous stirred tank reactor: a case study, ISA Trans. 44 (2005), no. 3, 423-444.

17.
H. K. Khalil, Nonlinear Systems, second ed. Prentice-Hall, Upper Saddle River, NJ, 1996.

18.
N. Kravaris and C. Chung, Nonlinear state feedback synthesis by global input/output linearization, AIChE J. 33 (1987), no. 4, 592-603.

19.
J. D. Morningred, B. E. Paden, D. E. Seborg, and D. A. Mellichamp, An adaptive nonlinear predictive controller, Proc. Am. Control Conf. 2 (1990), 1614-1619.

20.
J. D. Morningred, B. E. Paden, D. E. Seborg, and D. A. Mellichamp, An adaptive nonlinear predictive controller, Chemical Engineering Science 47 (1992), no. 4, 755-762.

21.
M. I. Natarajan and E. F. Andrew, Design of a stable adaptive nonlinear observer for an exothermic stirred tank reactor, Computers chem. Engng 20 (1996), no. 9, 1141-1147.

22.
S. S. Sastry and A. Isidori, Adaptive control of linearizable systems, IEEE Trans. Automat. Control 34 (1989), no. 11, 1123-1131.

23.
J. Slotine, J. K. Hedrick, and E. A. Misawa, On sliding observers for nonlinear systems, ASME Journal of Dynamics and System Measurement Control 109 (1987), no. 3, 245- 252.

24.
E. Slotine and W. Li, Applied Nonlinear Control, Prentice-Hall, New Jersey, 1991.

25.
J.-J. E. Slotine and J. K. Hedrick, Robust input-output feedback linearization, Internat. J. Control 57 (1993), no. 5, 1133-1139.

26.
D. Tyner, M. Soroush, and C. G. Grady, Adaptive temperature control of multiproduct jacketed reactors, Industrial and Engineering Chemistry Research 38 (1999), no. 11, 4337-4344.

27.
G. Wang, S. Peng, and H. Huang, A sliding observer for nonlinear process control, Chemical Engineering Science 52 (1997), no. 5, 787-805.