Browse > Article
http://dx.doi.org/10.5302/J.ICROS.2013.12.1834

H∞ Control of Networked Control Systems with Two Additive Time-varying Delays  

Kim, Jae Man (Yonsei University)
Park, Jin Bae (Yonsei University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.19, no.3, 2013 , pp. 183-189 More about this Journal
Abstract
This paper presents a stabilization method for NCS (Networked Control Systems) with two additive time-varying delays. Each time delay component between the plant and the controller has different characteristics depending on communication network, and has the upper and lower bounds. The time delay occurring from the controller to the plant has an effect on the time delay occurring from the plant to the controller, and the relationship between two delays is taken into account on the stability analysis. Based on the two additive delay components and the bound conditions, the appropriate Lyapunov-Krasovskii functional and the LMI (Linear Matrix Inequality) method derive the stability condition and the $H_{\infty}$ norm constraint for time-varying delayed NCS. Simulation results are finally given to demonstrate the effectiveness of the proposed method.
Keywords
NCS; time-varying delay; $H_{\infty}$ control; LMI;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 G. C. Walsh, H. Ye, and L. G. Bushnell, "Stability analysis of networked control systems," IEEE Trans. Control Syst. Tech., vol. 10, no. 3, pp. 438-446, May 2002.   DOI   ScienceOn
2 S. Hirche, T. Matiakis, and M. Buss, "A distributed controller approach for delay-independent stability of networked control systems," Automatica, vol. 45, no. 8, pp. 1828-1836, Aug. 2009.   DOI   ScienceOn
3 W. Zhang and L. Yu, "A robust control approach to stabilization of networked control systems with time-varying delays," Automatica, vol. 45, no. 10, pp. 2440-2445, Oct. 2009.   DOI   ScienceOn
4 G. P. Liu, Y. Xia, D. Rees, and W. Hu, "Design and stability criteria of networked predictive control systems with random network delay in the feedback channel," IEEE Trans. Syst. Man Cybern., vol. 37, no. 2, pp. 173-184, Mar. 2007.   DOI   ScienceOn
5 G. S. Bae and Y. H. Joo, "Intelligent controller for networked control systems with time-delay," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 17, no. 2, pp. 139-144, Feb. 2011.   과학기술학회마을   DOI   ScienceOn
6 H. S. Han, "Stability bounds of time-varying uncertainty and delay time for discrete systems with time-varying delayed state", Journal of Institute of Control, Robotics and Systems (in Korean), vol. 18, no. 10, pp. 895-901, Oct. 2012.   과학기술학회마을   DOI   ScienceOn
7 X. Xue and D. Qiu, "Robust $H_{{\infty}}$ compensator design for time-delay systems with norm-bounded time-varying uncertainties," IEEE Trans. Automatic Control, vol. 45, no. 7, pp. 1363-1369, Jul. 2000.   DOI   ScienceOn
8 Y. S. Lee, Y. S. Moon, W. H. Kwon, and P. G. Park, "Delay-dependent robust $H_{{\infty}}$ control for uncertain systems with a state-delay," Automatica, vol. 40, no. 1, pp. 65-72, Jan. 2004.   DOI   ScienceOn
9 F. Yang, Z. Wang, D. W. C. Ho, and M. Gani, "Robust $H_{{\infty}}$ control with missing measurements and time delays," IEEE Trans. Automatic Control, vol. 52, no. 9, pp. 1666-1672, Sep. 2007.   DOI   ScienceOn
10 H. Gao, T. Chen, and J. Lam, "A new delay system approach to network-based control," Automatica, vol. 44, no. 1, pp. 39-52, Jan. 2008.   DOI
11 M. B. G. Cloosterman, N. V. D. Wouw, W. P. M. H. Heemels, and H. Nijmeijer, "Stability of networked control systems with uncertain time-varying delays," IEEE. Trans. Automatic Control, vol. 54, no. 7, pp. 1575-1580, Jul. 2009.   DOI   ScienceOn
12 D. Huang and S. K. Nguang "Robust disturbance attenuation for uncertain networked control systems with random time delays," IET Control Theory and Applications, vol. 2, no. 11, pp. 1008-1023, Nov. 2008.   DOI   ScienceOn
13 W. A. Zhang and L. Yu, "New approach to stabilisation of networked control systems with time-varying delays," IET Control Theory and Applications, vol. 2, no. 12, pp. 1094-1104, Dec. 2008.   DOI   ScienceOn
14 L. Dritsas and A. Tzes, "Robust stability bounds for networked controlled systems with unknown, bounded and varying delays," IET Control Theory and Applications, vol. 3, no. 3, pp. 270-280, Mar. 2009.   DOI   ScienceOn
15 X. Jiang, Q.-L. Han, S. Liu, and A. Xue, "A new $H_{{\infty}}$ stabilization criterion for networked control systems," IEEE Trans. Automatic Control, vol. 53, no. 4, pp. 1025-1032, May 2008.   DOI   ScienceOn
16 F. Yang, Z. Wang, Y. S. Hung, and M Gani, "$H_{{\infty}}$ control for networked systems with random communication delays," IEEE Trans. Automatic Control, vol. 51, no. 3, pp. 511-518, Mar. 2006.   DOI   ScienceOn
17 E. Tian, D. Yue, and Y. Zhang, "On improved delay-dependent robust $H_{{\infty}}$ control for systems with interval time-varying delay," Journal of Frank. Institute, vol. 348, no. 4, pp. 555-567, May 2011.   DOI   ScienceOn
18 H. Zhang, M. Li, J. Yang, and D. Yang, "Fuzzy model- based robust networked control for a class of nonlinear systems," IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 39, no. 2, pp. 437-446, Mar. 2009.   DOI   ScienceOn
19 R. Dey, G. Ray, S. Ghosh, and A. Rakshit, "Stability analysis for continuous system with additive time-varying delays: A less conservative result," Applied Math. and Comp., vol. 215, no. 10, pp. 3740-3745, Jan. 2010.   DOI   ScienceOn