Design and Stability Analysis of Uncertain Networked Predictive Control Systems with Multiple Forward Channels

This paper is concerned with the design and stability of networked predictive control for uncertain systems with multiple forward channels. The delays and packet dropouts are distributed such that the classic networked predictive control (NPC) needs modifications to be implemented. An improved control signal selection scheme with distributed prediction length is proposed to increase the prediction accuracy and hence achieve better control performance. Moreover, stability analysis results are obtained for both constant and random cases. Interestingly, it is shown that the stability of the closed-loop NPC system is not related to the distributed delays when they are constant and the system model is accurate. Finally, a two-axis milling machine example is given to illustrate the effectiveness of the proposed method.

[1]  Huaicheng Yan,et al.  Robust $H_{\infty}$ Filtering for Switched Stochastic System With Missing Measurements , 2009, IEEE Transactions on Signal Processing.

[2]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[3]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[4]  Guo-Ping Liu.  Analysis of networked predictive control systems with uncertainties , 2009, 2009 IEEE International Conference on Systems, Man and Cybernetics.

[5]  Biao Huang,et al.  A new method for stabilization of networked control systems with random delays , 2005, Proceedings of the 2005, American Control Conference, 2005..

[6]  Bo Chen,et al.  Robust Kalman filtering for uncertain state delay systems with random observation delays and missing measurements , 2011 .

[7]  Wei Wang,et al.  $H_{\infty}$ Control for Networked Predictive Control Systems Based on the Switched Lyapunov Function Method , 2010, IEEE Transactions on Industrial Electronics.

[8]  Ahmet Onat,et al.  Control Over Imperfect Networks: Model-Based Predictive Networked Control Systems , 2011, IEEE Transactions on Industrial Electronics.

[9]  Dan Zhang,et al.  $H_\infty$ Filtering for Networked Systems With Multiple Time-Varying Transmissions and Random Packet Dropouts , 2013, IEEE Transactions on Industrial Informatics.

[10]  Raja Sengupta,et al.  An H/sub /spl infin// approach to networked control , 2005, IEEE Transactions on Automatic Control.

[11]  Yuanqing Xia,et al.  Data-driven predictive control for networked control systems , 2013, Inf. Sci..

[12]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[13]  Hao Zhang,et al.  Quantized Control Design for Impulsive Fuzzy Networked Systems , 2011, IEEE Transactions on Fuzzy Systems.

[14]  Guoping Liu,et al.  Model-based compensation for multi-packet transmission in networked control systems , 2011, IEEE Conference on Decision and Control and European Control Conference.

[15]  Wen-an Zhang,et al.  A robust control approach to stabilization of networked control systems with time-varying delays , 2009, Autom..

[16]  Guoping Liu,et al.  Event-Driven Networked Predictive Control , 2007, IEEE Transactions on Industrial Electronics.

[17]  Guo-Ping Liu,et al.  Predictive Controller Design of Networked Systems With Communication Delays and Data Loss , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Nathan van de Wouw,et al.  Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach , 2009, IEEE Transactions on Automatic Control.

[19]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[20]  Yuanqing Xia,et al.  Design and Stability Analysis of Networked Predictive Control Systems , 2013, IEEE Transactions on Control Systems Technology.

[21]  Senchun Chai,et al.  Design and stability analysis of networked control systems with random communication time delay using the modified MPC , 2006 .

[22]  Thomas Parisini,et al.  Networked Predictive Control of Uncertain Constrained Nonlinear Systems: Recursive Feasibility and Input-to-State Stability Analysis , 2011, IEEE Transactions on Automatic Control.

[23]  Yuanqing Xia,et al.  Networked Predictive Control of Systems With Random Network Delays in Both Forward and Feedback Channels , 2007, IEEE Transactions on Industrial Electronics.

[24]  Asok Ray,et al.  An observer-based compensator for distributed delays , 1990, Autom..

[25]  Long Wang,et al.  Stabilization of networked control systems with data packet dropout and network delays via switching system approach , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[26]  Dong Yue,et al.  A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems , 2013, IEEE Transactions on Automatic Control.

[27]  Feng-Li Lian,et al.  Modelling and optimal controller design of networked control systems with multiple delays , 2003 .

[28]  Jongrae Kim,et al.  Error Bounded Sensing for Packet-Based Networked Control Systems , 2011, IEEE Transactions on Industrial Electronics.

[29]  Fuwen Yang,et al.  Observer-based H ∞ control for discrete-time stochastic systems with quantisation and random communication delays , 2013 .

[30]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.

[31]  Jongrae Kim,et al.  On the delay effects of different channels in Internet-based networked control systems , 2013, Int. J. Syst. Sci..

[32]  Guo-Ping Liu,et al.  Networked Predictive Control of Uncertain Systems With Multiple Feedback Channels , 2013, IEEE Transactions on Industrial Electronics.

[33]  Ye Sun,et al.  Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays , 2012 .

[34]  Fuwen Yang,et al.  Quantized H∞ Control for Networked Systems with Communication Constraints , 2013 .