Export file:

Format

  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text

Content

  • Citation Only
  • Citation and Abstract

Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?

Department of Mathematics and Statistics, University of Houston - Clear Lake, Houston, TX 77058

Special Issues: Networked Control Systems - Theories and Applications

In order to overcome the constraints of Networked Control Systems (NCSs) such as random packet delays or dropouts, it is a natural idea to estimate the system state and compensate for the time delays on the controller side. This paper provides an estimate on the scale of the complete dynamical system that uses this idea of control. The structure of the complete system is clearly illustrated. Then a concise sufficient and necessary stability condition is provided. In the numerical example, it is shown that this seemingly small system turns out to have a very large scale.
  Figure/Table
  Supplementary
  Article Metrics

Keywords networked control system; regime switching system; random delay; state compensation; stability analysis

Citation: Yipeng Yang. Stability analysis of networked control systems with bounded random delay and state compensation: How large is the actual system scale?. AIMS Electronics and Electrical Engineering, 2019, 3(1): 16-32. doi: 10.3934/ElectrEng.2019.1.16

References

  • 1. Zhang L, Gao H, Kaynak O (2013) Network-Induced Constraints in Networked Control Systems- A Survey. IEEE T Ind Inform 9: 403–416.    
  • 2. Zhang L, Shi Y, Chen T, et al. (2005) A New Method for Stabilization of Networked Control Systems with Random Delays. IEEE T Automat Contr 50: 1177–1181.    
  • 3. Xiao L, Hassibi A, How JP (2000) Control with Random Communication Delays via a Discrete- Time Jump System Approach. Proceedings of American Control Conference, Chicago, Illinois, USA.
  • 4. Donkers MCF, Heemels WPMH, Wouw N, et al. (2011) Stability Analysis of Networked Control Systems Using a Switched Linear Systems Approach. IEEE T Automat Contr 56: 2101–2115.    
  • 5. Heijmans SHJ, Postoyan R, Noroozi N, et al (2016) Stability Analysis of Networked Control Systems with Direct-Feedthrough Terms: Part II - the Linear Case. Proceedings of IEEE Conference on Decision and Control, Las Vegas, Nevada, USA.
  • 6. Dai SL, Lin H, Ge SS (2010) Scheduling-and-Control Codesign for a Collection of Networked Control Systems With Uncertain Delays. IEEE Trans on Contr Sys Tech, 18: 66–78.    
  • 7. Tan C, Zhang H (2017) Necessary and Sufficient Stabilizing Conditions for Networked Control Systems With Simultaneous Transmission Delay and Packet Dropout. IEEE Trans on Automat Contr 62: 4011–4016.    
  • 8. Branicky MS, Phillips SM, Zhang W (2000) Stability of Networked Control Systems: Explicit Analysis of Delay. Proceedings of American Control Conference, Chicago, Illinois, USA.
  • 9. Schenato L (2008) Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop. IEEE T Automat Contr 53: 1311–1317.    
  • 10.Liu GP, Xia Y, Chen J, et al (2007) Networked Predictive Control of SystemsWith Random Network Delays in Both Forward and Feedback Channels. IEEE T Ind Electron 54: 1282–1297.    
  • 11.Nagahara M, Quevedo DE, Østergaard J (2014) Sparse Packetized Predictive Control for Networked Control Over Erasure Channels. IEEE T Automat Contr 59: 1899–1905.    
  • 12.Quevedo DE, Nešić D (2011) Input-to-State Stability of Packetized Predictive Control Over Unreliable Networks Affected by Packet-Dropouts. IEEE T Automat Contr 56: 370–375.    
  • 13.Yang R, Liu GP, Shi P, et al. (2014) Predictive Output Feedback Control for Networked Control Systems. IEEE T Ind Electron 61: 512–520.    
  • 14.Henriksson E, Sandberg H, Johannsson KH (2008) Predictive Compensation for Communication Outages in Networked Control Systems. Proceedings of IEEE Conference on Decision and Control, Cancun, Mexico.
  • 15.Zhao YB, Liu GP, Rees D (2010) Actively Compensating for Data Packet Disorder in Networked Control Systems. IEEE T Circuits-II 57: 913–917.
  • 16.Ulusoy A, Gurbuz O, Onat A (2011) Wireless Model-Based Predictive Networked Control System Over Cooperative Wireless Network. IEEE T Ind Inform 7: 41–51.    
  • 17.Mhaskar P, El-Farra N, Christofides P(2005) Predictive control of switched nonlinear systems with scheduled mode transitions. IEEE T Automat Contr 50: 1670–1680.
  • 18.Müller M, Martius P, Allgöwer F (2012) Model predictive control of switched nonlinear systems under average dwell-time. J Process Contr 22: 1702–1710.    
  • 19.Essick R, Lee J, Dullerud GE (2014) Control of linear switched systems with receding horizon modal information. IEEE T Automat Contr 59: 2340–2352.    
  • 20.Yang Y, Nesbitt ND (2017) Concise Iterative Algorithms On the State Feedback Form for Model Predictive Control and Stability Analysis of Regime Switching Systems. Proceedings of IEEE Symposium Series on Computational Intelligence, Honolulu, Hawaii, USA.
  • 21.Costa OLV, Fragoso MD, Marques RP (2005) Discrete-Time Markov Jump Linear Systems. Springer-Verlag, New York, USA.
  • 22.Costa OLV, FragosoMD(1993) Stability Results for Discrete-Time Linear Systems with Markovian Jumping Parameters. J Math Anal Appl 179: 154–178.

 

Reader Comments

your name: *   your email: *  

© 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved