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Minimum Data Rate for Exponential Stability of Networked Control Systems with Medium Access Constraints

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  • Control Theory and Applications
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Abstract

In this paper, we investigate the minimum data rate problem to guarantee the stability of the networked control systems (NCSs) suffered to the medium access constraints in the digital communication channel. Under the effect of medium access constraints, the data rate of each communication node switches between its pre-set value and zero according to the medium access status assigned by the scheduler. In order to guarantee the exponential stability, a new analysis approach combined with the average dwell time technique and entropy theory is established for the unstable scalar systems and vector systems to obtain the sufficient and necessary conditions for each subsystem. The obtained minimum data rate are related to the intrinsic entropy rate of the system and the duty factor allocated by the scheduler. An numerical example is given to illustrate the effectiveness of the designed minimum data rate for the NCSs which composed by a collection of subsystems.

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Authors and Affiliations

  1. School of Information and Engineering, Dalian University, Dalian, China

    Shixi Wen

  2. State Key Laboratory of Synthetical Automation for Industrial Process, Northeastern University, Shenyang, 110004, China

    Ge Guo

  3. School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, 066004, China

    Ge Guo

Authors
  1. Shixi Wen
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  2. Ge Guo
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Corresponding author

Correspondence to Shixi Wen.

Additional information

Recommended by Associate Editor Ohmin Kwon under the direction of Editor Myo Taeg Lim. This work was supported by the National Natural Science Foundation of China under grants 61273107, 61573077 and the Doctoral Research Foundation of Dalian University under Grant 2017QL007.

Shixi Wen received the M.E. and Ph.D. degrees in Control Science and Control Engineering, respectively, in 2011 and 2015, from Dalian Maritime University, China. From 2015 to 2017, he was a post doctoral research fellow in Dalian University of Technology. And now, he is a lecturer in Dalian University. His research interests include networked control systems, vehicular cooperative control in intelligent vehicle highway systems.

Ge Guo received the B.E. and Ph.D. degrees in 1994 and 1998, respectively, from Northeastern University, China. He joined Lanzhou University of Technology in 1999, where he was an associate professor, the director of the Institute of Intelligent Control and Robots and dean of the Department of Electric Engineering from 2000 to 2004. Since 2005, he has been a professor in Dalian Maritime University. His research interests include networked control systems, vehicular cooperative control and maritime/road traffic optimization. He is the Managing Editor of International Journal of Systems, Control and Communications, an Associate editor of Information Sciences and IEEE Intelligent Transportation Systems Magazine, an Editorial Board Member of ACTA Automatica Sinica. He was the honoree of the New Century Excellent Talents in Universities, China, the nominee of Gansu Top Ten Excellent Youths, Gansu Province, China, and the gainer of Fok Ying Tong Education Foundation, China.

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Wen, S., Guo, G. Minimum Data Rate for Exponential Stability of Networked Control Systems with Medium Access Constraints. Int. J. Control Autom. Syst. 16, 717–725 (2018). https://doi.org/10.1007/s12555-017-0126-y

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  • DOI: https://doi.org/10.1007/s12555-017-0126-y

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