New Discrete Sliding Mode Controller with Predictive Sliding Function


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Abstract


This paper shows the development of a Sliding Mode Controller with Predictive Sliding Function (SMC-PSF). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). In fact, a cascade control strategy is proposed to determine the optimal linear surface parameters of the sliding mode control.
The combination of SMC and MPC improves the performance of these two control laws. The designed control strategy has stronger robustness and chattering reduction property to conquer within the system uncertainties. Finally, the performances of the (SMC-PSF), in terms of strong robustness to external disturbance and parameters variation, chattering elimination, fast convergence were judged better, in comparison with SMC and MPC, using a non-minimum phase system.


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Keywords


Sliding Mode Control; Model Predictive Control; Predictive Sliding Mode Control; Sliding Mode Control with Predictive Sliding Function; Chattering Phenomenon; Non Minimum Phase Systems

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References


P. Lopez, A. S. Nouri, Théorie élémentaire et pratique de la commande par les régimes glissants, Springer-Verlag, 2006.

X. Yu, O. Kaynak, Sliding mode control with soft computing: A survey, IEEE Transactions on Industrial Electronics, Vol. 56, No. 9, 2009.

V. I. Utkin, Y.Wang, D.Wang, Variable structure systems with sliding mode, IEEE Transactions on Automatic Control, Vol. 22, No. 2, pp. 212-222, 1977.

V. I. Utkin, H. C. Chang, Sliding mode control on electro-mechanical systems, Mathematical Problems in Engineering, Vol. 8, pp. 451-473, 2002.

M. Mihoub, A. S. Nouri, R. Ben Abdennour, Real time application of discrete second order sliding mode control to a chemical reactor, Control Engineering Practice, pp. 1-7, 2009.

G. Bartolini, A. Ferrara, E. Usani, Chattering Avoidance by Second-Order Sliding Mode Control, IEEE Transaction Automatic Control, Vol. 43, No. 2, pp. 241-246, 1998.

A. Cavallo, C. Natale, High-order sliding control of mechanical systems: theory and experiments, Automatica, Vol. 12, pp. 1139-1149, 2004.

D. Clarke, W. Mohtadi, P.Tuffs, Generalized predictive control Part I, The basic algorithm, Automatica, 23(2),pp.137-148, 1992.

D. Clarke, R. Scattolini, Constrained receding horizon predictive control, IEEE Transaction Automatica Control, Vol. 23, No. 2, pp. 347-354, 1991.

O. Camacho, A predictive approach based sliding mode control, 15th Triennial World Congress,Barcelone,Spain, IFAC 2002.

W. Gabin, D. Zambrano, E.F Camacho, Sliding mode predictive control of a solar air conditioning plant, Control Engineering Practice, Vol. 17, pp. 652-663,

L. Xiao, H. SU, X. Zhang, Variable structure control with sliding mode prediction for discrete time nonlinear systems, Journal of Control Theory and applications, Vol. 2, pp. 140-146, 2006.

L. Xiao, H. SU, X. Zhang, Discrete Variable Structure Control Algorithme for Nonlinear Systems via Sliding Mode Prediction, IEEE Transactions on Automatic Control, 2006.

M. De La Parte, O. Camacho, E. Camacho, Developement of a GPC-based sliding mode controller, ISA Transaction, Vol. 41, pp. 19-30, 2002.

H. Ben Mansour, A. S. Nouri, Discrete Predictive Sliding Mode control of uncertain systems, Proceedings of the 9th International Multi-Conference on System, Signals and Devices, 2012.

H. Ben Mansour, Abdennabi Nizar and A. S. Nouri. Predictive Sliding Mode control for perturbed discrete time delay systems: Robustness Analysis. Proceedings of the International conference on Electrical Engineering and Software Applications, ICEESA’13 March 21–23, 2013, Hammamet, Tunisia.

N. Abdennebi,H. Ben Mansour, A. S. Nouri, A New Sliding Function for Discrete Predictive Sliding Mode control of time delay systems, 13th International conference on Sciences and Techniques of Automatic control and computer engineering, 2012.

H. Zaholan, W. Mao, L. Shuhuan, Discrete sliding mode prediction control of uncertain switched systems, Journal of systems Engineering and Electronics, Vol. 20, pp. 1065-1071, 2009.

W. Gao, Y. Wang, A. Homaifa, Discrete-time variable structure control systems, IEEE Transactions on Industrial Electronics, Vol. 42, No. 2, pp. 117-122, 1995.

E.F. Camacho, C. Bordon, Model Predictive Control, (2nd edition). London: Springer.

R.J. Culi, C. Bordon, Iterative nonlinear model predictive control. Stability, robustness and applications, Control Engineers Practice,, Vol. 16, pp. 1023-1034, 2008.

A. Bemporad, M. Morari, Control of systems integrating logic, dynamics and constraints, Automatica, Vol. 35, pp. 407-427, 1990.

J.M. Maciejowski, Predictive Control with Constraints, Prentice Hall, Harlow, 2011.

D.W. Clarke, M. Mohtadi, P.S. Tuffs, Generalized Predictive Control: Part ii: Extensions and interpretation, Automatica, Vol. 23, nO.2, pp. 149-160, 1987.

R.R. Bitmead, M. Gevers and V. Wertz, Adaptative optimal Control: The thinking man’s GPC, Prentice Hall, Brunswick, 1990.

W.G. Gabin, E.F. Camacho, Sliding mode model based predictive control for non minimum phase systems, European control conference, Cambridge UK, 2003.

W.G. Gabin, D.Zambrano and E.F. Camacho, Sliding mode predictive control of a solar air conditioning plant, Control Engeneering Practice, Vol.17, pp. 652- 663 2009.

J. Zhao, J. Meng, L. Zhang, Passivity-based Sliding Mode Predictive Control of discrete-time Singular Systems with time verying delay, Proceeding of International conference on Consumer, Electronics, Communication and Networks (CECNET),2011.

A. Abdellah, A. Abdelhafid, R. Mostafa, Combining Sliding Mode and Linear Quadratic Regulator to Control the Inverted Pendulum, (2013) International Review of Automatic Control (IREACO), 6 (1), pp. 69-76.

Muhammed, S., Mathew, A.T., Modified smith predictor for the control of unstable non-minimum-phase delayed systems, (2012) International Review of Automatic Control (IREACO), 5 (4), pp. 531-538.

Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Serpi, A., Predictive control of brushless DC motor drive providing minimum joule losses and torque ripple free commutation, (2011) International Review on Modelling and Simulations (IREMOS), 4 (4), pp. 1500-1505.

S. Meo, A. Perfetto, A Predictive Control of a DPWM Quasi Resonant Inverter Feeding Induction Motors, (2012) International Review on Modelling and Simulations (IREMOS), 5 (2), pp. 1122-1127.

Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Serpi, A., Predictive control of brushless DC generators, (2011) International Review of Electrical Engineering (IREE), 6 (5), pp. 2368-2375.

Damiano, A., Gatto, G., Marongiu, I., Meo, S., Perfetto, A., Serpi, A., A predictive direct torque control of induction machines, (2012) International Review of Electrical Engineering (IREE), 7 (4), pp. 4837-4844.


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