Output feedback stabilisation of networked control systems via switched system approach

International Journal of Control

Volumn 82, Issue 9, 2009, Pages 1665-1677

  Yu, Junyan ^a   Wang, Long ^a   Zhang, Guofeng ^b   Yu, Mei ^c  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

Author keywords

Networked control systems; Output feedback; Packet losses; Stabilisation; Switched systems

Indexed keywords

DESIGN TECHNIQUE; MARKOVIAN; NETWORKED CONTROL SYSTEMS; NUMERICAL EXAMPLE; OUTPUT FEEDBACK; OUTPUT FEEDBACK CONTROLLER; STABILISATION; SUFFICIENT CONDITIONS; SWITCHED SYSTEM; SWITCHED SYSTEMS;

CONTROL SYSTEM ANALYSIS; CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; PACKET LOSS; SWITCHING SYSTEMS;

FEEDBACK;

EID: 68949158557     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170802657355     Document Type: Article

References (29)

1. Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V. (1994), Linear Matrix Inequalities in Systems and Control Theory, Philadelphia: SIAM.
2. Branicky, M.S. (1998), 'Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems', IEEE Transactions on Automatic Control, 43, 475-482.
3. Cheng, T.M., and Savkin, A.V. (2007), 'Output Feedback Stabilisation of Non-linear Networked Control Systems with Non-decreasing Non-linearities: a Matrix Inequalities Approach', International Journal of Robust and Nonlinear Control, 17(5-6), 387-404.
4. Daafouz, J., Riedinger, P., and Iung, C. (2002), 'Stability Analysis and Control Synthesis for Switched Systems: A Switched Lyapunov Function Approach', IEEE Transactions on Automatic Control, 47, 1883-1887.
5. Gupta, V., Hassibi, B., and Murray, R.M. (2007), 'Optimal LQG Control Across Packet-dropping Links', Systems & Control Letters, 56, 439-446.
6. Ho, D.W.C., and Lu, G. (2003), 'Robust Stabilisation for a Class of Discrete-time Non-linear Systems via Output Feedback: the United LMI Approach', International Journal of Control, 76, 105-115.
7. Ishii, H. (2006), 'H∞ Control with Limited Communication and Message Losses', in Proceedings of the American Control Conference, Minneapolis, MN, pp. 5620-5625.
8. Lin, H., Zhai, G., and Antsaklis, P.J. (2003), 'Robust Stability and Disturbance Attenuation Analysis of a Class of Networked Control Systems', in Proceedings of the IEEE Conference on Decision and Control, Maui, HI, pp. 1182-1187.
9. Ling, Q., and Lemmon, M.D. (2003), 'Soft Real-time Scheduling of Networked Control Systems with Dropouts Governed by a Markov Chain', in Proceedings of the American Control Conference, Denver, CO, USA, pp. 4845-4850.
10. Ma, D., and Zhao, J. (2006), 'Exponential Stabilisation of Networked Control Systems and Design of Switching Controller', Journal of Control Theory and Applications, 1, 96-101.
11. Matveev, A.S., and Savkin, A.V. (2006), 'Multirate Stabilisation of Linear Multiple Sensor Systems via Limited Capacity Communication Channels', SIAM Journal on Control and Optimization, 44, 584-617.
12. Montestruque, L.A., and Antsaklis, P.J. (2003), 'On the Model-based Control of Networked Systems', Automatica, 39, 1837-1843.
13. Mu, S., Chu, T., and Hao, F. (2003), 'Output Feedback Control of Networked Control Systems', in Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, Washington, DC, USA, pp. 211-216.
14. Nesic, D., and Teel, A.R. (2004), 'Input-output Stability Properties of Networked Control Systems', IEEE Transactions on Automatic Control, 49, 1650-1667.
15. Nilsson, J., Bernhardsson, B., and Wittenmark, B. (1998), 'Stochastic Analysis and Control of Real-time Systems with Random Time Delays', Automatica, 34, 57-64.
16. Oliveira, M.C. de, Bernussou, J., and Geromel, J.C. (1999), 'A New Discrete-time Robust Stability Condition', Systems & Control Letters, 37, 261-265.
17. Sun, Z., and Ge, S.S. (2005), 'Analysis and Synthesis of Switched Linear Control Systems', Automatica, 41, 181-195.
18. Walsh, G.C., and Ye, H. (2001), 'Scheduling of Networked Control Systems', IEEE Control System Magazine, 21, 57-65.
19. Walsh, G.C., Hong, Y., and Bushnell, L.G. (2002), 'Stability Analysis of Networked Control Systems', IEEE Transactions on Control Systems Technology, 10, 438-446.
20. Wong, W.S., and Brockett, R.W. (1999), 'Systems with Finite Communication Bandwidth Constraints-II. Stabilisation with Limited Information Feedback', IEEE Transactions on Automatic Control, 44, 1049-1053.
21. Wu, J., and Chen, T. (2007), 'Design of Networked Control Systems with Packet Dropouts', IEEE Transactions on Automatic Control, 52, 1314-1319.
22. Xie, G., and Wang, L. (2005), 'Stabilization of NCSs: Asynchronous Partial Transfer Approach', in Proceedings of the American Control Conference, Portland, OR, USA, pp. 1226-1230.
23. Xiong, J., and Lam, J. (2007), 'Stabilization of Linear Systems Over Networks with Bounded Packet Loss', Automatica, 43, 80-87.
24. Yu, M., Wang, L., Chu, T., and Xie, G. (2004), 'Stabilization of Networked Control Systems with Data Packet Dropout and Network Delays via Switching System Approach', in 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, pp. 3539-3544.
25. Yue, D., Han, Q., and Chen, P. (2004), 'State Feedback Controller Design of Networked Control Systems', IEEE Transactions on Circuits and Systems II: Express Briefs, 51, 640-644.
26. Zhang, G., Chen, X., and Chen, T. (2007), 'A Model Predictive Control Approach to Networked Control Systems', in 46th Conference on Decision and Control, New Orleans, LA, pp. 3339-3344.
27. Zhang, L., Shi, Y., Chen, T., and Huang, B. (2005), 'A New Method for Stabilisation of Networked Control Systems with Random Delays', IEEE Transactions on Automatic Control, 50, 1177-1181.
28. Zhang, W., Branicky, M.S., and Phillips, S.M. (2001), 'Stability of Networked Control Systems', IEEE Control System Magazine, 21, 84-99.
29. Zhang, W., and Yu, L. (2007), 'Output Feedback Stabilisation of Networked Control Systems with Packet Dropouts', IEEE Transactions Automatic Control, 52, 1705-1710.