Stability criteria for asynchronous sampled-data systems - A fragmentation approach

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 44, Issue 1 PART 1, 2011, Pages 1313-1318

  Briat, C ^a   Seuret, A ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b GIPSA LAB   (France)

Author keywords

Asynchronous sampled data systems; LMIs; Robustness

Indexed keywords

CONTINUOUS TIME SYSTEMS; DELAY CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SAMPLED DATA CONTROL SYSTEMS; SYSTEM STABILITY;

CONTINUOUS-TIME; CONVEX FEASIBILITY PROBLEM; FINITE DIMENSIONAL; LMIS; QUADRATIC STABILITY; SAMPLED DATA SYSTEMS; STABILITY ANALYSIS; TIME-DELAY SYSTEMS;

STABILITY CRITERIA;

EID: 84866126183     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20110828-6-IT-1002.02353     Document Type: Conference Paper

References (25)

1. C. Briat. Control and Observation of LPV Time-Delay Systems. PhD thesis, Grenoble-INP, 2008. URL http://www.briat.info/thesis/PhDThesis.pdf.
2. T. Chen and B. Francis. Optimal Sampled-Data Control Systems. Berlin: Springer, 1995.
3. 2 induced norm of a sampled-data system. Systems & Control Letters, 15: 211-219, 1990.
4. E. Fridman. A refined input delay approach to sampled-data control. Automatica, 46(2):421-427, 2010.
5. E. Fridman, A. Seuret, and J. P. Richard. Robust sampled-data stabilization of linear systems: An input delay approach. Automatica, 40:1441-1446, 2004.
6. H. Fujioka. A discrete-time approach to stability analysis of systems with aperiodic sample-and-hold devices. IEEE Transactions on Automatic Control, 54(10):2440-2445, 2009a.
7. H. Fujioka. Stability analysis of systems with aperiodic sample-and-hold devices. Automatica, 45:771-775, 2009b.
8. H. Fujioka, T.akai, and L. Hetel. A switched lyapunov functional approach to stability analysis of nonuniformly sampled-data systems. In American Control Conference, MarriottWaterfront, Baltimore, MD, USA, 2010.
9. th IFAC Symposium on Robust Control Design, Toulouse, France, 2006.
10. F .Gouaisbaut and D. Peaucelle. Delay-dependent stability analysis of linear time delay systems. In 6th IFAC Work-shop on Time Delay Systems, L'Aquila, Italy, 2006.
11. K. Gu, V.L. Kharitonov, and J. Chen. Stability of Time-Delay Systems. Birkhäuser, 2003.
12. J.P. Hespanha, P. Naghshtabrizi, and Y. Xu. A survey of recent results in networked control systems. Proceedings of the IEEE, 95(1):138-162, 2007.
13. L. Hetel, J. Daafouz, and C. Iung. Analysis and control of LTI and switched systems in digital loops via an eventbased modelling. International Journal of Control, 81: 1125-1138, 2008.
14. th IFAC Workshop on Time-Delay Systems, Sinaia, Romania, September 2009.
15. W. Michiels, S.-I. Niculescu, and L. Moreau. Using delays and time-varying gains to improve the static output feedback stabilizability of linear systems : a comparison. IMA Journal of Mathematical Control and Information, 21(4):393-418, 2004.
16. L. Mirkin. Some remarks on the use of time-varying delay to model sample-and-hold circuits. IEEE Transactions on Automatic Control, 52(6):1109-1112, 2007.
17. L.A. Montestruque and P.J. Antsaklis. Stability of modelbased networked control systems with time-varying transmission times. IEEE Transactions on Automatic Control, 49(9):1562-1572, 2004.
18. P. Naghshtabrizi, J.P. Hespanha, and A.R. Teel. Exponential stability of impulsive systems with application to uncertain sampled-data systems. Systems & Control Letters, 57:378-385, 2008.
19. Y. Oishi and H. Fujioka. Stability and stabilization of aperdiodic sampled-data control systems: an approach using robust linear matrix inequalities. In 48th Conference on Decision and Control, pages 8142-8147, Shanghai, China, 2009.
20. M.M. Peet, A. Papachristodoulou, and S. Lall. Positive forms and stability of linear time-delay systems. SIAM Journal on Control and Optimization, 47(6):3227-3258, 2009.
21. A. Seuret. Stability analysis for sampled-data systems with a time-varying period. In 48th Conference on Decision and Control, pages 8130-8135, Shanghai, China, 2009.
22. A. Seuret. A novel stability analysis of linear systems under asynchronous samplings. Accepted to Automatica, 2010.
23. Y.S. Suh. Stability and stabilization of nonuniform sampling systems. Automatica, 44:3222-3226, 2008.
24. ∞ control and filtering: Non uniform uncertain sampling. Automatica, 43:1072-1083, 2007.
25. W. Zhang, M.S. Branicky, and S.M. Phillips. Stability of networked control systems. IEEE Control Systems Magazine, 21(1):84-99, 2001.