On synchronization errors in networked feedback systems

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 53, Issue 10, 2006, Pages 2306-2317

  Lorand, Cédric ^a,b   Bauer, Peter H ^a  

^a University of Notre Dame   (United States)

^b Sungard Finance   (Luxembourg)

Author keywords

BIBO stability; Discrete time; Feedback systems; Local area networks; Networked control systems; Synchronization

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; LOCAL AREA NETWORKS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SYNCHRONIZATION; SYSTEM STABILITY;

FEEDBACK LOOP; NETWORKED CONTROL SYSTEMS; NETWORKED FEEDBACK SYSTEMS; SYNCHRONIZATION ERRORS; TOEPLITZ MATRIX;

TELECOMMUNICATION NETWORKS;

EID: 33750418816     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2006.882824     Document Type: Article

References (28)

1. O. Katsuhiko, Discrete-Time Control Systems. Englewood Cliffs, NJ: Prentice-Hall, 1995.
2. A. Antoniou, Digital Filters: Analysis, Design, and Applications. New York: McGraw-Hill, 1993.
3. P. Beerel, K. Stevens, and H. Kim, "Relative timing based verification of timed circuits and systems," in Proc. 8th Int. Symp. Asyn. Circuits and Systems, Manchester, U.K., Apr. 2002, pp. 115-119.
4. S.-I. Liu, J.-H. Lee, and H. W. Tsao, "Low power clock de-skew buffer for high speed digital circuits," IEEE J. Solid-State Circuits, vol. 34, no. 4, pp. 554-558, Apr. 1999.
5. Y. Okajima, M. Taguchi, M. Yanagawa, K. Nishimura, and O. Hamada, "Digital delay locked loop and design technique for high-speed synchronous interfaces," IEICE Trans. Electron., vol. E79-C, pp. 798-807, Jun. 1996.
6. H. Sutoh, K. Yamakoshi, and M. Ino, "Circuit techniques for skew free clock distribution," Proc. IEEE Custom Integr. Circuits, pp. 163-166, 1995.
7. D. E. Brueske and S. H. K. Embabi, "A dynamic clock synchronization technique for large scale systems," IEEE Trans. Comp. Packag. Manuf. Technol,, vol. 17, pp. 350-361, Aug. 1994.
8. J. Elson and D. Estrin, "Time synchronization for wireless sensor networks," in Proc. IPDPS'01, San Francisco, CA, 2001.
9. D. Mills, "Internet time synchronization, the network time protocol," IEEE Trans. Commun., vol. 39, pp. 1485-1493, Oct. 1991.
10. A. F. Kleptsyn, V. S. Kozyakin, M. A. Krasnosel'skii, and A. Kuznetsov, "Effect of small synchronization errors on stability of complex systems II," Avtomat. Telemekhan., pp. 309-314, 1984.
11. A. F. Kleptsynm V. S. Kozyakin, M. A. Krasnosel'skii, and A. Kuznetsov, "Effect of small synchronization errors on stability of complex systems III," Avtomat. Telemekhan., pp. 1014-1018, 1984.
12. P. H. Bauer, C. Lorand, and K. Premaratne, "Stablity of interconnected discrete-time systems with synchronization errors," in Proc. 2003 Int. Symp. Circuits Syst., Bangkok, Thailand, May 25-28, 2003, vol. 4, pp. 568-571.
13. V. D. Blondel, J. Theys, and A. Vladimirov, "Switched systems that are periodically stable may be unstable," in Proc. 2002 Symp. Math.l Theory of Netw. Syst., South Bend, IN, Aug. 12-16, 2002.
14. M. S. Branicky, "Multiple Lyapunov functions and other analysis tools for switched and hybrid systems," IEEE Trans. Autom. Contr., vol. 43, no. 4, pp. 475-482, 1998.
15. D. Liberzon and A. S. Morse, "Basic problems in stability and design of switched systems," IEEE Control Syst. Mag., vol. 19, no. 5, pp. 59-70, 1999.
16. J. P. Hespanha and A. S. Morse, "Stability of switched systems with average dwell-time," in Proc. 38th IEEE Conf. Decision and Control, 1999, pp. 2655-2660.
17. G. Zhai, B. Hu, K. Yasada, and A. N. Michel, "Stability analysis for a class of switched systems with stable and unstable subsystems: An average dwell-time approach," in Proc. Amer. Contr. Conf., 2000, pp. 200-204.
18. B. Hu, X. Xu, A. Michel, and P. J. Antsaklis, "Stability analysis for a class of nonlinear switched systems," in Proc. 38th IEEE Conf. Decision and Control, 1999, pp. 4374-4379.
19. S. Lall and G. Dullerud, "An LMI solution to the robust synthesis problem for multirate sampled-data systems," Automatica, vol. 37, pp. 1909-1922, 2001.
20. P. Voulgaris, "Control of asynchronous sampled data systems," IEEE Trans. Autom. Contr., vol. 39, no. 7, pp. 1451-1455, Jul. 1994.
21. M. Sichitiu, "Control of Data Networks: Models, Stability and Controllers," Ph.D. dissertation, Univ. of Notre Dame, South Bend, IN, Apr. 2001.
22. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation - Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall, 1989.
23. E. A. Asarin, V. S. Kozyakin, M. A. Krasnosel'skii, and N. A. Kuznetsov, Stability Analysis of Desynchronized Discrete-Event Systems. Moscow, Russia: Nauka, 1992 [Online]. Available: http://www.iitp.ru/personal/ kozyakin
24. W. Zhang, M. S. Branicky, and S. M. Phillips, "Stability of networked control systems," IEEE Contr. Syst. Mag., vol. 21, pp. 84-99, Feb. 2001.
25. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
26. R. Horn and R. Johnson, Matrix Analysis. New York: Cambridge University Press, 1985.
27. C. Lorand and P. H. Bauer, "A factorization approach to the analysis of asynchronous interconnected discrete-time systems with arbitrary clock ratios," in Proc. Amer. Contr. Conf., 2004, vol. 1, pp. 349-354.
28. J. R. Leigh, Applied Digital Control. Englewood Cliffs, NJ: Prentice-Hall, 1992.