Hostname: page-component-cb9f654ff-65tv2 Total loading time: 0 Render date: 2025-09-07T12:57:50.079Z Has data issue: false hasContentIssue false
  • English
  • Français

H∞ stabilisation of networked control systems with time delays and packet losses

Published online by Cambridge University Press:  04 September 2014

HONGBO LI ,
FUCHUN SUN ,
ZENGQI SUN  and
CHANGQING YUAN
HONGBO LI
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
FUCHUN SUN
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
ZENGQI SUN
Affiliation:
Department of Computer Science and Technology, Tsinghua University, Beijing, 100084, P. R. China Email: hbli@tsinghua.edu.cn; fcsun@tsinghua.edu.cn; szq-dcs@tsinghua.edu.cn
CHANGQING YUAN
Affiliation:
Aviation University of Air Force, Changchun, 130022, P. R. China Email: ycq02@mails.tsinghua.edu.cn
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper addresses the H∞ state feedback stabilisation problem for networked control systems (NCSs) in the presence of time delays and packet losses. By introducing the concept of an effective sensor packet, the NCS is transformed into a new discrete-time switched model, where the parameters have a clear physical meaning and can be easily determined. In this framework, we derive the stability conditions of the closed-loop system in the H∞ sense, and also provide the corresponding H∞ stabilising controller design method. Finally, we give simulation and experimental results to demonstrate the effectiveness of the proposed approaches.

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Dong, H., Wang, Z., Ho, D. W. C. and Gao, H. (2010) Robust H∞ Fuzzy Output-Feedback Control With Multiple Probabilistic Delays and Multiple Missing Measurements. IEEE transactions on Fuzzy systems 18 (4)712–725.Google Scholar
Gao, H. and Wang, C. (2003) Comments and further results on a descriptor system approach to H∞ control of linear time delay systems. IEEE transactions on Automatic Control 48 (3)520–525.Google Scholar
Ghaoui, L. E., Oustry, F. and AitRami, M. (1997) A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE transactions on Automatic Control 42 (8)1171–1176.Google Scholar
Hu, S. and Yan, W.-Y. (2008) Stability of Networked Control Systems Under a Multiple-Packet Transmission Policy. IEEE transactions on Automatic Control 53 (7)1706–1711.Google Scholar
Hu, S. and Zhu, Q. (2003) Stochastic optimal control and analysis of stability of networked control systems with long delay. Automatica 39 (11)1877–1884.Google Scholar
Li, H., Chow, M.-Y. and Sun, Z. (2009) State feedback stabilisation of networked control systems. IET Control Theory and Applications 3 (7)929–940.Google Scholar
Li, J., Zhang, Q., Yu, H. and Cai, M. (2011) Real-time guaranteed cost control of MIMO networked control systems with packet disordering. Journal of Process Control 21 (6)967–975.CrossRefGoogle Scholar
Li, H., Sun, Z., Liu, H. and Sun, F. (2011) State Feedback Integral Control of Networked Control Systems with External Disturbance. IET Control Theory and Applications 5 (2)283–290.Google Scholar
Liu, G. P., Mu, J. X., Rees, D. and Chai, S. C. (2006) Design and stability analysis of networked control systems with random communication time delay using the modified MPC. International Journal of Control 79 (4)288–297.Google Scholar
Nilsson, J., Bernhardsson, B. and Wittenmark, B. (1998) Stochastic analysis and control of real-time systems with random time delays. Automatica 34 (1)57–64.Google Scholar
Peng, C., Yue, D., Tian, E. G. and Gu, Z. (2009) A delay distribution based stability analysis and synthesis approach for networked control systems. Journal of The Franklin Institute 346 (4)349–365.Google Scholar
Rasool, F. and Nguang, S. K. (2010) Quantised robust H∞ output feedback control of discrete-time systems with random communication delays. IET Control Theory and Applications 4 (11)1751–8644.Google Scholar
Shi, Y. and Yu, B. (2009) Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE transactions on Automatic Control 54 (7)1668–1674.Google Scholar
Tian, E., Yue, D. and Zhao, X. (2007) Quantised control design for networked control systems. IET Control Theory and Applications 1 (6)1693–1699.Google Scholar
Wang, Y.-L. and Yang, G.-H. (2007) H∞ control of networked control systems with time delay and packet disordering. IET Control Theory and Applications 1 (5)1344–1354.Google Scholar
Xiong, J. and Lam, L. (2007) Stabilization of linear systems over networks with bounded packet loss. Automatica 43 (1)80–87.Google Scholar
Yue, D., Han, Q.-L. and Lam, J. (2005) Network-based robust H∞ control of systems with uncertainty. Automatica 41 (6)999–1007.Google Scholar
Zhang, L., Shi, Y., Chen, T. and Huang, B. (2005) New Method for Stabilization of Networked Control Systems with Random Delays. IEEE transactions on Automatic Control 50 (11)1177–1181.Google Scholar
Zhang, W., Branicky, M. S. and Phillips, S. M. (2001) Stability of networked control systems. Control Systems Magazine 21 (1)84–99.Google Scholar