New Discrete Predictive Sliding Mode Control for Non Minimum Phase Systems

This paper shows the development of a Predictive Sliding Mode Controller (PSMC). The proposed controller blends the design of Sliding Mode Control (SMC) with Model Predictive Control (MPC). 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. The Predictive Sliding Mode Control strategy was improved by giving a New Predictive Sliding Mode Controller (NPSMC). Finally, the performances of the NPSMC, in terms of strong robustness to external disturbance and parameters variation, chattering elimination, fast convergence were judged, in comparaison with PSMC, SMC and MPC, using a nonminimum phase system.

[1]  David W. Clarke,et al.  Generalized predictive control - Part I. The basic algorithm , 1987, Autom..

[2]  Mercedes Pérez de la Parte,et al.  Development of a GPC-based sliding mode controller. , 2002 .

[3]  Babatunde A. Ogunnaike,et al.  Process Dynamics, Modeling, and Control , 1994 .

[4]  Darine Zambrano,et al.  Sliding mode predictive control of a solar air conditioning plant , 2009 .

[5]  Ridha Ben Abdennour,et al.  Real-time application of discrete second order sliding mode control to a chemical reactor , 2009 .

[6]  Manfred Morari,et al.  Design of resilient processing plants. VI: The effect of right-half-plane zeros on dynamic resilience , 1985 .

[7]  J. R. Cueli,et al.  Iterative nonlinear model predictive control. Stability, robustness and applications , 2008 .

[8]  David W. Clarke,et al.  Generalized Predictive Control - Part II Extensions and interpretations , 1987, Autom..

[9]  Zhiyuan Liu,et al.  A new nonlinear model predictive control scheme for discrete-time system based on sliding mode control , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[10]  Lijun Zhang,et al.  Passivity-based sliding mode predictive control of discrete-time singular systems with time-varying delay , 2011, 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet).

[11]  Ridha Ben Abdennour,et al.  Multimodel Discrete Second Order Sliding Mode Control: Stability Analysis and Real Time Application on a Chemical Reactor , 2011 .

[12]  Alberto Cavallo,et al.  High-order sliding control of mechanical systems: theory and experiments , 2004 .

[13]  Abdennebi Nizar,et al.  A New Sliding Function for Discrete Predictive Sliding Mode Control of Time Delay Systems , 2013, Int. J. Autom. Comput..

[14]  Ahmed Saïd Nouri,et al.  Discrete predictive sliding mode control of uncertain systems , 2012, International Multi-Conference on Systems, Sygnals & Devices.

[15]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[16]  J. R. Cueli.  Iterative Nonlinear Model Predictive Control , 2013 .

[17]  Weibing Gao,et al.  Discrete-time variable structure control systems , 1995, IEEE Trans. Ind. Electron..

[18]  Riccardo Scattolini,et al.  Constrained receding-horizon predictive control , 1991 .

[19]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[20]  Maria Letizia Corradini,et al.  A VSC algorithm based on generalized predictive control , 1997, Autom..

[21]  Eduardo F. Camacho,et al.  Sliding mode model based predictive control for non minimum phase systems , 2003, 2003 European Control Conference (ECC).

[22]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..