Abstract
The issue of delay-dependent robust stability for uncertain continuous-time multi-variable networked control systems with state feedback controller is researched, where its network transmission is connected with network-induced delay. The complete mathematical model is derived. And the sufficient condition for asymptotical stability is analyzed and the maximum allowable delay conditions for systems are derived by using Lyapunov stability theory combined with free-weighting matrices techniques. The efficacy and feasibility of the proposed methods is shown by presenting simulation results from multi-variable networked control example with uncertainty.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Halevi, Y., Ray, A.: Integrated communication and control Systems: part I-analysis. ASME J. Dyn. Syst., Meas., and Control 110(4), 367–373 (1988)
Zhang, W., Branicky, M.S., Phillips, S.M.: Stability of networked control system. IEEE Control Systems Magazine 21(2), 84–99 (2001)
Walsh, G.C., Ye, H., Bushnell, L.G.: Stability analysis of networked control systems. IEEE Transactions on Control Systems Technology 10(3), 438–446 (2002)
Schenato, L.: Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop. IEEE Transactions on Automatic Control 53(5), 1311–1317 (2008)
Yang, T.C.: Networked control system: a brief survey. IEE Proceedings of Control Theory Applications 153(4), 403–412 (2006)
Gao, H., Meng, X., Chen, T.: Stabilization of Networked Control Systems with a New Delay Characterization. IEEE Transactions on Automatic Control 53(9), 2142–2148 (2008)
Wei, L.S., Fei, M.R.: A Real-time Optimization Grey Prediction Method for Delay Estimation in NCS. In: The 6th IEEE International Conference on Control and Automation, Guangzhou, China, May 30-June 1, pp. 514–517 (2007)
Hespanha, J.P., Naghshtabrizi, P., Xu, Y.: A Survey of Recent Results in Networked Control Systems. Proceedings of IEEE 95(1), 138–162 (2007)
Zhaoping, D., Qingling, Z., Lili, L.: Elay-dependent stabilization of MIMO networked control systems. In: 27th Chinese Control Conference, Yunnan, China, July 16-18, pp. 81–85 (2008)
Liu, L.Y., Lv, W.J., Chen, Y.Z.: Stability analysis of MIMO networked control system. Information and Control 35, 393–397 (2006)
Huang, H., Han, X., Ji, X., Wang, Z.: Fault-tolerant Control of Networked Control System with Packet Dropout and Transmission delays. In: IEEE International Conference on Networking, Sensing and Control, Sanya, China, April 6-8, pp. 325–329 (2008)
Wei, L., Fei, M., Hu, H.: Modeling and stability analysis of grey–fuzzy predictive control. Neurocomputing 72(1-3), 197–202 (2008)
Liu, G.P., Chai, S.C., Rees, D.: Networked Predictive Control of Internet/Intranet Based Systems. In: Proceedings of the 25th Chinese Control Conference, Harbin, Heilongjiang, August 7-11, 2006, pp. 2024–2029 (2006)
Schenato, L.: Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop. IEEE Transactions on Automatic Control 53(5), 1311–1317 (2008)
Yue, D., Han, Q.-L., Peng, C.: State feedback controller design of networked control systems. IEEE Trans. on Circuits and Systems-II 51(11), 640–644 (2004)
Peterson, I.R., Hollot, C.V.: A Riccati equation approach to the stabilization of certain linear systems. Automatica 22(4), 397–411 (1986)
Huaicheng, Y., Xinhan, H., Min, W.: Delay-dependent stability of networked control systems with uncertainties and multiple time-varying delays. Journal of Control Theory and Applications 25(02), 303–306 (2008) (In Chinese)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wei, Ls., Jiang, M., Fei, Mr. (2009). Robust Stability of Multi-variable Networked Control Systems with Random Time Delay. In: Liu, W., Luo, X., Wang, F.L., Lei, J. (eds) Web Information Systems and Mining. WISM 2009. Lecture Notes in Computer Science, vol 5854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05250-7_61
Download citation
DOI: https://doi.org/10.1007/978-3-642-05250-7_61
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05249-1
Online ISBN: 978-3-642-05250-7
eBook Packages: Computer ScienceComputer Science (R0)