Stability criteria for a class of MIMO networked control systems with network constraints

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn , Issue , 2009, Pages 4473-4477

  Liu, Xiaopeng ^a,b   Liu, Guoping ^b   Xia, Yuanqing ^a   Rees, David ^b   Sun, Jian ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Networked control systems; Piecewise Lyapunov functional; Switched delay system

Indexed keywords

DELAY MODELS; DISCRETE-TIME; LYAPUNOV-KRASOVSKII FUNCTIONALS; MIMO NETWORKED CONTROL SYSTEM; NETWORK CONSTRAINTS; NETWORKED CONTROL SYSTEMS; NUMERICAL EXAMPLE; PIECE-WISE; PIECEWISE LYAPUNOV FUNCTIONAL; STABILITY ANALYSIS; SWITCHED DELAY SYSTEMS;

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEMS; CYBERNETICS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MULTIPLEXING; STABILITY CRITERIA; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

CONTROL SYSTEM STABILITY;

EID: 74849129289     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSMC.2009.5346912     Document Type: Conference Paper

References (21)

1. Y. Halevi and A. Ray, "Integrated communication and control systems: Part I-Analysis", J. Dyn. Syst. Meas. Control-Trans ASME, Vol. 110, No. 4, pp. 367-373, 1988.
2. Nilsson J. Real-time control systems with delays. PhD dissertation, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1998.
3. W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked control systems", IEEE Control Syst. Mag., Vol. 21, No. 1, pp. 84-99, 2001.
4. G.C. Walsh , Ye H., Bushnell L., "Stability analysis of networked control systems", IEEE Trans. Control Syst. Technol., Vol. 10, No. 3, pp. 438-446, 2002.
5. Feng-Li Lian, James Moyne and Dawn Tilbury, "Analysis and modeling of networked control systems: MIMO case with multiple time delays", In Proc. of the American Control Conference, Arlington, VA, pp. 4306-4312, June, 2001.
6. J.L. Xiong , Lam J., "Stabilization of linear systems over networks with bounded packet loss", Automatica, Vol. 43, No. 1, pp. 80-87,2007.
7. Sinopoli B., Schenato L., Franceschetti M., "Time varying optimal control with packet losses", Proc. 43rd IEEE Conf. Decision and Control, Atlantis, Paradise Island, Bahamas, Vol. 2, pp. 1938-1943, 2004.
8. Z.H. Guan, Zhang H., Yang S.H.,Wang H.O., "Stability of internet-based control systems with uncertainties and multiple time-varying delays", Proc. 45th IEEE Conf. Decision and Control, San Diego, CA, USA, pp. 6419-6424, 2006.
9. X.M. Sun, G.P. Liu, D. Rees, W. Wang, "Delay-dependent stability for discrete systems with large delay sequence based on switching techniques", Automatica, Vol. 44, No. 11, pp 2902-2908, 2008.
10. X.M. Sun, G.P. Liu, D. Rees, W. Wang, "Stability of Systems With Controller Failure and Time-Varying Delay", IEEE Trans. Automat. Control, Vol. 53, No. 10, pp. 2391-2396, 2008.
11. L. A. Montestruque and P.J. Antsaklis, "On the model-based control of networked systems", Automatica, vol. 39, pp. 1837-1843, 2003.
12. A. Sala, "Computer control under time-varying sampling period: An LMI griding approach", Automatica, vol. 41, pp. 2077-2082, 2006.
13. G.P. Liu, Y.-Q. Xia, J. Chen, D. Rees, and W.-S. Hu, "Design and stability criteria of networked predictive control systems with random network delay in the feedback channel", IEEE Trans. Syst. Man Cybern. Part C-Appl. Rev., Vol. 37, No. 2, pp. 173-184, 2007.
14. Y.-B. Zhao, G.P. Liu, and D. Rees, "A predictive control based approach to networked wiener systems", Int. J. Innov. Comp. Inf. Control, Vol. 4, No.11, pp. 2793-2802, 2008.
15. J. Wu and T. Chen, "Design of networked control systems with packet dropout", IEEE Trans. Automat. Control, Vol. 52, No. 7, pp. 1314-1319, 2007.
16. Y. Wang, L. Xie and C.E. de Souza, "Robust control of a class of uncertain nonlinear systems", Syst. Contr. Lett., Vol. 19, No. 2, pp. 139-149, 1992.
17. ∞ control for networked systems with random communication delays", IEEE Trans. Automat. Control, Vol. 51, No. 3, pp. 511-518, 2006.
18. M. Yu, L. Wang, and T. Chu, "Sampled-data stabilization of networked control systems with nonlinearity", IET Control Theory Appl., Vol. 152, No. 6, pp. 609-614, 2005.
19. ∞ control of systems with uncertainty", Automatica, Vol. 41, No. 6, pp. 999-1007, 2005.
20. D. Yue, Q.-L. Han and C. Peng, "State feedback controller design of networked control systems", IEEE Trans. Circuits Syst. II: Express Briefs, Vol. 51, No. 11, pp. 640-644, 2004.
21. L. Zhang, Y. Shi, T. Chen, and B. Huang, "Communication and control co-design for networked control systems", Automatica, Vol. 42, No. 6, pp. 953-958,2006.