Predictive sliding mode control for perturbed discrete delay time systems: Robustness analysis

This paper presents a control strategy for perturbed discrete system with time delay, using Sliding Mode Control (SMC) and Model based Predictive Control (MPC). A predictive sliding mode control strategy is proposed and a discrete-time reaching law is improved. By applying a predictive sliding surface and a reference trajectory, combining with the state feedback correction and rolling optimization method in the predictive control strategy, a predictive sliding mode controller, for perturbed discrete system with time delay, is synthesized. The combination of SMC and MPC improves the performance of these two control laws. A robustness analysis proves that the designed control strategy has stronger robustness and chattering reduction property. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.

[1]  Frédéric Gouaisbaut,et al.  Sliding mode control in the presence of delay , 2001, Kybernetika.

[2]  Xiaoyu Zhang,et al.  Discrete variable structure control algorithm for nonlinear systems via sliding mode prediction , 2006, 2006 American Control Conference.

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

[4]  Feipeng Da,et al.  Sliding mode predictive control for long delay time systems , 2006 .

[5]  Sarah K. Spurgeon,et al.  Sliding Mode Control , 1998 .

[6]  F. Gouaisbaut,et al.  Robust Control of Linear System with a Time-Varying Delay : A Sliding Mode Control Design via LMI. , 2001 .

[7]  Jiemei Zhao,et al.  SMPC for Discrete-time Singular Systems with Time-varying Delay , 2014 .

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

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

[10]  F. Gouaisbaut,et al.  Sliding mode control of linear time delay systems: a design via LMIs , 2002 .

[11]  G. Bartolini,et al.  Chattering avoidance by second-order sliding mode control , 1998, IEEE Trans. Autom. Control..

[12]  Jean-Pierre Barbot,et al.  Sliding Mode Control In Engineering , 2002 .

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

[14]  Hao-Chi Chang,et al.  Sliding mode control on electro-mechanical systems , 1999 .

[15]  Ahmed Saïd Nouri,et al.  A new sliding surface for discrete second order sliding mode control of time delay systems , 2012, International Multi-Conference on Systems, Sygnals & Devices.

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

[17]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[18]  M. Yan,et al.  Robust discrete-time sliding mode control for uncertain systems with time-varying state delay , 2008 .

[19]  Zhao-Lan He,et al.  Discrete sliding mode prediction control of uncertain switched systems , 2009 .

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

[21]  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).

[22]  Huimin Xiao,et al.  Discrete sliding-mode control of uncertain systems with time delays , 2010, Proceedings of the 2010 International Conference on Modelling, Identification and Control.

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