Networked predictive control for linear systems with unknown communication delay

The problem of controller design for linear systems with unknown communication delay is investigated in this paper. A control scheme is proposed to deal with the unknown communication delay on the basis of networked predictive control method. By considering an important property of communication delay, the closed-loop system is modeled as a switched system under constraint switching By using switched Lyapunov function approach, a sufficient stability condition is derived. How to choose an important parameter in the control law is also considered. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.

[1]  W. P. M. H. Heemels,et al.  Controller synthesis for networked control systems , 2010, Autom..

[2]  Ya-Jun Pan,et al.  Remote Stabilization of Networked Control Systems with Unknown Time Varying Delays by LMI Techniques , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[3]  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).

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

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

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

[7]  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.

[8]  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.

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

[10]  Guo-Ping Liu,et al.  Output Feedback Stabilization for a Discrete-Time System With a Time-Varying Delay , 2008, IEEE Transactions on Automatic Control.

[11]  Tongwen Chen,et al.  A new method for stabilization of networked control systems with random delays , 2005 .

[12]  Jamal Daafouz,et al.  Stabilization of Arbitrary Switched Linear Systems With Unknown Time-Varying Delays , 2006, IEEE Transactions on Automatic Control.

[13]  Q. Han,et al.  State feedback controller design of networked control systems , 2004 .

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

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

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

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

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

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

[20]  Keyou You,et al.  Minimum Data Rate for Mean Square Stabilizability of Linear Systems With Markovian Packet Losses , 2011, IEEE Transactions on Automatic Control.

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

[22]  Hai Lin,et al.  Stabilization and performance analysis for a class of switched systems , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

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

[24]  Yong He,et al.  Output Feedback Stabilization for a Discrete-Time , 2008 .

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

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

[27]  Lihua Xie,et al.  Minimum Data Rate for Mean Square Stabilization of Discrete LTI Systems Over Lossy Channels , 2010, IEEE Trans. Autom. Control..