Remote stabilization for fractional-order systems via communication networks

Proceedings of the 2010 American Control Conference, ACC 2010

Volumn , Issue , 2010, Pages 6698-6703

  Song, Xiaona ^a   Tejado, Inés ^b   Chen, YangQuan ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF EXTREMADURA   (Spain)

^c UTAH STATE UNIVERSITY   (United States)

Author keywords

Fractional order systems; Networked control systems; Time varying delays

Indexed keywords

BASIC IDEA; COMMUNICATION NETWORKS; CONTROL LAWS; DELAY DYNAMICS; DYNAMIC SYSTEMS; FRACTIONAL-ORDER SYSTEMS; NETWORKED CONTROL SYSTEMS; NUMERICAL EXAMPLE; RECEDING HORIZON; RECEDING HORIZON CONTROL; REMOTE STABILIZATION; STABILIZING CONTROL LAW; TIME-VARYING DELAY;

CONTROL SYSTEM ANALYSIS; CONTROLLERS; LINEAR MATRIX INEQUALITIES; REMOTE CONTROL; STABILIZATION; TIME VARYING NETWORKS;

TIME VARYING CONTROL SYSTEMS;

EID: 77957790543     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. H. S. Ahn and Y. Chen. Necessary and sufficient stability condition of fractional-order interval linear systems. Automatica, 44:2985-2988, 2008.
2. H. S. Ahn, Y. Chen, and I. Podlubny. Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality. Appl. Math. Comput., 187:27-34, 2007.
3. C. Bonnet and J. R. Partington. Analysis of fractional delay systems of retarded and neutral type. Automatica, 38:1133-1138, 2002.
4. M. Caputo. Linear models of dissipation whose q is almost frequency independence-II. Geophys. J. R. Astronom. Soc, 13:529-539, 1967.
5. Y. Chen, H. S. Ahn, and D. Xue. Robust controllability of interval fractional order linear time invariant systems. In Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computer and Information in Engineering Conference, pages 1-9, Long Beach, CA, 2005.
6. M. Chilali, P. Gahinet, and P. Apkarian. Robust pole placement in LMI regions. IEEE Trans. Automat. Control, 44:2257-2270, 1999.
7. M. Cloosterman, N. van de Wouw, M. Heemels, and H. Nijmeijer. Robust stability of networked control systems with time-varying network-induced delays. In Proceedings of the 45th IEEE Conference on Decision and Control, pages 4980-4985, San Diego, CA, USA, 2006.
8. A. Dzieliński and D. Sierociuk. Adaptive feedback control of fractional order discrete state-space systems. In Proceedings of the 2005 International Conference on Computational Intelligence for Modelling Control and Automation, pages 804-809, Vienna, Austria, 2005.
9. A. Dzieliński and D. Sierociuk. Stability of discrete fractional order state-space systems. In Proceedings of the 2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA'06, 2006.
10. A. Dzieliński and D. Sierociuk. Stability of discrete fractional order state-space systems. Journal of Vibration and Control, 14:1543-1556, 2008.
11. R. Hotzel. Some stability conditions for fractional delay systems. J. of Mathematical Systems, Estimation, and Control, 8:1-19, 1998.
12. W. H. Kwon and A. E. Pearson. Feedback stabilization of linear systems with delayed control. IEEE Trans. Automat. Control, pages 266-269, 1980.
13. Y. Li, Y. Q.Chen, and I. Podlubny. Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica. (45):1965-1969, 2009.
14. J. Lu and Y. Q. Chen. Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties. IEEE Trans. Automat. Control. (Accepted to appear). 2010.
15. M. Moze and J. Sabatier. LMI tools for stability analysis of fractional systems. In Proceedings of the ASME 2005 International Design Engineering Technical Conferences and Computer and Information in Engineering Conference, pages 1-9, Long Beach, CA, 2005.
16. Y. J. Pan, H. J. Marquez, and T. Chen. Remote stabilization of networked control systems with unknown time-varying delays by LMI techniques. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005, pages 1589- 1594, Seville, Spain, 2005.
17. I. Petráš, Y. Q. Chen, and B. M. Vinagre. Robust stability test for interval fractional order linear systems. Problem 6.5, in Vincent D. Blondel and Alexander Megretski (Editors). Unsolved problems in the mathematics of systems and control, Princeton University Press, July 2004, pp. 208-210.
18. I. Podlubny. Fractional differential equation. Academic Press, San Diego, 1999.
19. J. Sabatier, M. Moze, and C. Farges. On stability of fractional order systems. In Proceedings of the Third IFAC workshop on fractional differentiation and its application FDA'08, Ankara, Turkey, 2008.
20. S. B. Skaar, A. N. Michel, and R. K. Miller. Stability of viscoelastic control systems. IEEE Trans. Automat. Control, 33:348-357, 1988.
21. H. Sun, W. Chen, and Y. Q. Chen. Variable-order fractional differential operators in anomalous diffusion modeling. Physica A, 2009, doi:10.1016/j.physa. 2009.07.024.
22. M. S. Tavazoei and M. Haeri. A note on the stability of fractional order systems. Mathematics and Computers in Simulation, 79:1566-1576, 2009.
23. V. Van Assche, M. Dambrine, J. F. Lafay, and J. P. Richard. Some problems arising in the implementation of distributed-delay control laws. In Proceedings of the 38th Conference on Decision and Control, pages 4668-4672, Phoenix, Arizona, USA, 1999.
24. E. Witrant, C. Canudas-de Wit, Georges D., and Alamir M. Remote stabilization via communication networks with a distributed control law. IEEE Trans. Automat. Control, 8:1480-1485, 2007.
25. L. Zhang, Y. Shi, T. Chen, and Huang B. A new method for stabilization of networked control systems with random delays. IEEE Trans. Automat. Control, 50:1177-1181, 2005. (Pubitemid 41410115)