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Design of a Feed Backing Control Law for a Class of Nonlinear Systems

Monia Oueder(1*)

(1) Community College of Tabuk, University of Tabuk, Saudi Arabia
(*) Corresponding author


DOI: https://doi.org/10.15866/ireaco.v11i5.14910

Abstract


The design of laws that control the industrial facilities is the basic concerns of engineers in order to ensure the optimal cost-effectiveness of these facilities. In the literature, most of the control laws deal with the linear systems whereas most of the industrial facilities are a nonlinear systems that are difficult to control. In this context falls this paper that deals with the design of a feed backing control law for a class of nonlinear systems. In this paper, a design of a feed backing control law for a class of nonlinear systems is proposed. The synthesis of this control law is inspired by exploiting the duality between the techniques of high gain observer. Besides, it will be shown that the proposed control law can perfectly be robust in the stochastic environment while reducing appropriately the noise control system sensitivity. Finally, the proposed control law will be validated in simulation through a nonlinear system.
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Keywords


Process Control; High Gain Techniques; High Gain Observer; Nonlinear System; Robustness to External Noise

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References


S. Hajji. Modélisation, Observation et Commande de la Machine Asynchrone. Thèse de doctorat, Ecole Nationale d'Ingénieurs de Sfax-Tunisie et Université de Caen Basse-Normandie-France, 2009.

A. Isidori. Nonlinear Control Systems. Springer, 3rd Edition, 1995
http://dx.doi.org/10.1007/978-1-84628-615-5

M. Krstic, I. Kanellakopoulos, and P. Kokotovic. Nonlinear and Adaptive Control Design. John Wiley and Sons, 1995.

T. Maatoug. Synthèse d'observateurs adaptatifs pour les systèmes non linéaires. Thèse de doctorat, Ecole Nationale d'Ingénieurs de Sfax-Tunisie et Université de Caen Basse-Normandie-France, 2009.

H. Nijmeijer, and A. J. Van der Schaft. Nonlinear Dynamical Control Systems. Springer-Verlag, 1991.
http://dx.doi.org/10.1007/978-1-4757-2101-0_12

M. Oueder, M. Farza, R. Ben Abdennour, and M. M'Saad. A Dynamic High Gain Observer for a Class of MIMO Non Triangular Systems. International Federation of Automation Control, IFAC'11, 2011.
http://dx.doi.org/10.3182/20110828-6-it-1002.01070

M. Oueder, M. Farza, R. Ben Abdennour, and M. M'Saad. High Gain Observer with Updated Gain for a Class of MIMO Non-Triangular Systems, Systems & Control Letters Journal, vol. 61 : pp. 298 -- 308, 2012.
http://dx.doi.org/10.1016/j.sysconle.2011.11.009

M. Fliess, J. Levine, P. Martin and P. Rouchon. Flatness and Defect of Nonlinear Systems: Introductory Theory and Examples". International Journal of Control, vol. 61 : pp. 1327 -- 1361, 1995.
http://dx.doi.org/10.1080/00207179508921959

M. Fliess, J. Levine, P. Martin and P. Rouchon. A Lie-backlund Approach to Equivalence and Flatness of Nonlinear Systems. IEEE Transactions on Automatic Control, AC-44: pp. 922 -- 937, 1999.
http://dx.doi.org/10.1109/9.763209

L. N. Paquin. Application du backstepping à une colonne de flottation. Thèse de doctorat, Faculté des Etudes Supérieures de l'Université Laval, 2000.

Jouili, K., Braiek, N., A LMI Approach to Tracking Control of Nonlinear Polynomial Systems, (2015) International Review of Automatic Control (IREACO), 8 (3), pp. 233-243.
http://dx.doi.org/10.15866/ireaco.v8i3.6294

Indriawati, K., Sebe, N., Agustinah, T., Jazidie, A., Robust Fuzzy Observer-Based Fault Tolerant Tracking Control for Nonlinear Systems with Simultaneous Actuator and Sensor Faults: Application to a DC Series Motor Speed Drive, (2015) International Review of Automatic Control (IREACO), 8 (6), pp. 375-385.
http://dx.doi.org/10.15866/ireaco.v8i6.7505

Kharroubi, L., Nouibat, W., Ouslim, M., Modeling and Stabilization Fuzzy Control Strategies of a Nonlinear Cart-Pendulum System: a Comparative Study, (2015) International Review of Automatic Control (IREACO), 8 (6), pp. 396-406.
http://dx.doi.org/10.15866/ireaco.v8i6.7656


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