Stability of the networked predictive control system with delay mismatch

Networked predictive control method proposed by Prof. G.P. Liu is an effective method to compensate for the network-induced delay in networked control systems (NCSs). Networked predictive control methods using a state feedback or an observer-based output feedback are both considered in this paper. Stability of the networked predictive control systems when there is a mismatch in the network-induced delay is investigated. Sufficient stability conditions are obtained for the closed-loop systems. A numerical example is given to illustrate the efficacy of the proposed method.

[1]  Feng Xia,et al.  Neural Network Based Feedback Scheduler for Networked Control System with Flexible Workload , 2005, ICNC.

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

[3]  Hu Shousong,et al.  Brief Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003 .

[4]  Yang Shi,et al.  Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains , 2009, IEEE Transactions on Automatic Control.

[5]  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.

[6]  Dong Yue,et al.  State feedback controller design of networked control systems , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[7]  Dong Yue,et al.  Network-based robust H ∞ control of systemswith uncertainty , 2005 .

[8]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

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

[10]  Jamal Daafouz,et al.  Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach , 2002, IEEE Trans. Autom. Control..

[11]  Guo-Ping Liu,et al.  Design and Implementation of Secure Networked Predictive Control Systems Under Deception Attacks , 2012, IEEE Transactions on Control Systems Technology.

[12]  Nathan van de Wouw,et al.  Tracking Control for Nonlinear Networked Control Systems , 2014, IEEE Transactions on Automatic Control.

[13]  Yuanqing Xia,et al.  Predictive Control of Networked Systems with Random Delay and Data Dropout , 2006, 2006 IEEE International Conference on Networking, Sensing and Control.

[14]  Babak Tavassoli Stability of Nonlinear Networked Control Systems Over Multiple Communication Links With Asynchronous Sampling , 2014, IEEE Transactions on Automatic Control.

[15]  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..

[16]  Hai Lin,et al.  Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach , 2005 .

[17]  Huajing Fang,et al.  Research on stochastic control of networked control systems , 2009 .

[18]  Jie Chen,et al.  A necessary and sufficient stability criterion for networked predictive control systems , 2016 .

[19]  Huajing Fang,et al.  Takagi-sugeno fuzzy-model-based fault detection for networked control systems with Markov delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[20]  Tai C Yang,et al.  Networked control system: a brief survey , 2006 .

[21]  G. P. Liu,et al.  Networked predictive control of systems with random delay in signal transmission channels , 2008, Int. J. Syst. Sci..

[22]  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.

[23]  Huijun Gao,et al.  New Results on Stability of Discrete-Time Systems With Time-Varying State Delay , 2007, IEEE Transactions on Automatic Control.

[24]  Xiaofeng Wang,et al.  Real-Time ${\cal L}_{1}$ Adaptive Control for Uncertain Networked Control Systems , 2015, IEEE Transactions on Automatic Control.

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

[26]  Armand Toguyéni,et al.  A Switched System Approach to Exponential Stabilization Through Communication Network , 2012, IEEE Transactions on Control Systems Technology.

[27]  Guo-Ping Liu,et al.  NETWORKED PREDICTIVE CONTROL OF SYSTEMS WITH RANDOM COMMUNICATION DELAY , 2004 .

[28]  Yuanqing Xia,et al.  Design and Stability Criteria of Networked Predictive Control Systems With Random Network Delay in the Feedback Channel , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[29]  Asok Ray,et al.  Integrated Communication and Control Systems: Part I—Analysis , 1988 .

[30]  Harald Voit,et al.  Adaptive control of a Networked Control System with hierarchical scheduling , 2011, Proceedings of the 2011 American Control Conference.

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

[32]  Guo-Ping Liu,et al.  Design of a Packet-Based Control Framework for Networked Control Systems , 2009, IEEE Transactions on Control Systems Technology.

[33]  Wu Min,et al.  Improved Stabilization Method for Networked Control Systems , 2006, 2007 Chinese Control Conference.

[34]  Wen-an Zhang,et al.  Output Feedback Stabilization of Networked Control Systems With Packet Dropouts , 2007, IEEE Transactions on Automatic Control.

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

[36]  Qixin Zhu,et al.  Stochastic optimal control and analysis of stability of networked control systems with long delay , 2003, Autom..

[37]  A. Hassibi,et al.  Control with random communication delays via a discrete-time jump system approach , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[38]  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.