Abstract
In this paper, the stabilization problem is considered for the class of wireless networked control systems (WNCS). An indicator is introduced in the WNCS model. The packet drop sequences in the indicator are represented as states of a Markov chain. A new discrete Markov switching system model integrating 802.11 protocol and new scheduling approach for wireless networks with control systems are constructed. The variable controller can be obtained easily by solving the linear matrix inequality (LMI) with the use of the Matlab toolbox. Both the known and unknown dropout probabilities are considered. Finally, a simulation is given to show the feasibility of the proposed method.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
J. L. Xiong, J. Lam. Stabilization of linear systems over networks with bounded packet loss. Automatica, vol. 43, no. 1, pp. 80–87, 2007.
X. Fang, J. Wang. Stochastic observer-based guaranteed cost control for networked control systems with packet dropouts. IET Control Theory and Applications, vol.2, no. 11, pp. 980–989, 2008.
S. M. Mu, T. G. Chu, L. Wang, W. S. Yu. Output feedback control of networked systems. International Journal of Automation and Computing, vol. 1, no. 1, pp. 26–34, 2004.
J. Wu, T. W. Chen. Design of networked control systems with packet dropouts. IEEE Transactions on Automatic Control, vol. 52, no. 7, pp. 1314–1319, 2007.
W. A. Zhang, L. Yu. Output feedback stabilization of networked control systems with packet dropouts. IEEE Transactions on Automatic Control, vol. 52, no. 9, pp. 1705–1710, 2007.
C. L. Ma, H. J. Fang. Research on stochastic control of networked control systems. Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 2, pp. 500–507, 2009.
W. A. Zhang, L. Yu. Modelling and control of networked control systems with both network-induced delay and packet-dropout. Automatica, vol. 44, no. 12, pp. 3206–3210, 2008.
L. X. Zhang, E. K. Boukas. Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities. Automatica, vol. 45, no. 2, pp. 463–468, 2009.
P. Wen, Y. Li. Minimum packet drop sequences based networked control system model with embedded Markov chain. Simulation Modelling Practice and Theory, vol. 17, no. 10, pp. 1635–1641, 2009.
J. Colandairaj, G. W. Irwin, W. G. Scanlon. Wireless networked control systems with QoS-based sampling. IET Control Theory and Applications, vol. 1, no. 1, pp. 430–438, 2007.
J. Colandairaj, G.W. Irwin, W. G. Scanlon. Analysis of an IEEE 802.11b wireless networked control system. In Proceedings of the 1st Networked Control Systems and Fault Tolerant Control Workshop, Ajaccio, France, pp. 19–25, 2005.
H. Ye, G. C. Walsh, L. G. Bushnell. Real time mixed-traffic wireless networks. IEEE Transactions on Industrial Electronics, vol. 48, no. 5, pp. 883–890, 2001.
H. Ye, G. Walsh, L. Bushnell.Wireless local area networks in the manufacturing industry. In Proceedings of American Control Conference, Chicago, USA, vol. 4, pp. 2363–2367, 2000.
M. A. Moges, T. G. Robertazzi. Divisible load scheduling and Markov chain models. Computers and Mathematics with Applications, vol. 52, no. 10–11, pp. 1529–1542, 2006.
Y. L. Wang, G. H. Yang. H ∞ controller design for networked control systems via active-varying sampling period method. Acta Automatica Sinica, vol. 34, no. 7, pp. 814–818, 2008.
A. K. Prashanth, S. Ashish, M. B. Elizabeth. Congestionaware rate adaptation in wireless networks: A measurement-driven approach. In Proceedings of the 5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communication and Networks, IEEE, San Francisco, USA, pp. 1–9, 2008.
J. Colandairaj, G.W. Irwin, W.G. Scanlon. A co-design solution for wireless feedback control. In Proceedings of IEEE International Conference on Networking, Sensing and Control, IEEE, London, UK, pp. 15–17, 2007.
Y. Li, X. P. Guan, C. N. Long, X. Y. Luo. Feedback stabilization over wireless network using adaptive coded modulation. International Journal of Automation and Computing, vol. 5, no. 4, pp. 381–388, 2008.
Author information
Authors and Affiliations
Corresponding author
Additional information
Scholars of Hebei Province (No. F2011203110), Program for New Century Excellent Talents in the University of China (No.NCET-08-0658), National Natural Science Foundation of China (No. 60974018, No. 60934003), National Basic Research Program of China (973 Program) (No. 2010CB731800), and Key Project for Natural Science Research of Hebei Education Department (No. ZD200908).
Chang-Chun Hua received the Ph.D. degree in electrical engineering from Yanshan University, Qinhuangdao, PRC in 2005. He was a research fellow in City University of Hong Kong, National University of Singapore, and Carleton University, Canada. He is currently a full professor in the Department of Electrical Engineering, Yanshan University, PRC.
His research interests include nonlinear control systems, control systems design over network, teleoperation systems, and intelligent control.
Ying Zheng is currently a post graduate student in Yanshan University, PRC.
Her research interests include networked control systems, time-delay system.
Xin-Ping Guan received the master degree in applied mathematics from Harbin Institute of Technology, PRC in 1991 and the Ph.D. degree in electrical engineering from Harbin Institute of Technology in 1999. Since 1986, he has been with Yanshan University, where he is currently a professor of control theory and control engineering. In 2007, he also joined Shanghai Jiao Tong University, PRC.
His research interests include robust congestion control in communication network, chaos control, and networked control system.
Rights and permissions
About this article
Cite this article
Hua, CC., Zheng, Y. & Guan, XP. Modeling and control for wireless networked control system. Int. J. Autom. Comput. 8, 357–363 (2011). https://doi.org/10.1007/s11633-011-0592-2
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11633-011-0592-2