Stabilization of networked control systems via non-monotone control lyapunov functions

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 7942-7948

  Gielen, Rob ^a   Lazar, Mircea ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL THEORY; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; PACKET LOSS; STABILIZATION; TIME VARYING CONTROL SYSTEMS;

CLASSICAL CONTROL; CONTROL LYAPUNOV FUNCTION; CONTROL LYAPUNOV-RAZUMIKHIN FUNCTIONS; DATA PACKET DROPOUT; OPTIMIZATION PROBLEMS; STABILIZING CONTROL LAW; STATE/INPUT CONSTRAINTS; TIME VARYING- DELAYS;

NETWORKED CONTROL SYSTEMS;

EID: 77649181916     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400139     Document Type: Conference Paper

References (23)

1. R. Murray, K. Åström, S. Boyd, R. Brockett, and G. Stein, "Future directions in control in an information-rich world," IEEE Control Systems Magazine, vol.23, no.2, pp. 20-33, 2003.
2. Y. Tipsuwan and M.-Y. Chow, "Control methodologies in networked control systems," Control Engineering Practice, vol.11, pp. 1099-1111, 2003.
3. J. Hespanha, P. Naghshtabrizi, and Y. Xu, "A survey of recent results in networked control systems," in Proceedings of the IEEE, vol.95, no.1, 2007.
4. L. Hetel, J. Daafouz, and C. Iung, "Stabilization of arbitrary switched linear systems with unknown time varying delays," IEEE Transactions on Automatic Control, vol.51, no.10, pp. 1668-1674, 2006.
5. M. Cloosterman, "Control of systems over communication networks: Modelling, analysis and design," Ph.D. dissertation, Eindhoven University of Technology, The Netherlands, 2008.
6. S. Olaru and S.-I. Niculescu, "Predictive control for linear systems with delayed input subject to constraints," in Proceedings of the 17th IFAC world congres (CD-ROM), Seoul, Korea, 2008.
7. R. Gielen, S. Olaru, and M. Lazar, Nonlinear Model Predictive Control: Towards new challenging applications, ser. Lecture Notes in Control Sciences. Springer, 2009, vol.384, ch. On Polytopic Approximations of Systems with Time-Varying Input Delays, pp. 225-233.
8. K. Åström and B. Wittenmark, Computer Controlled Systems, Theory and Design. Englewood Cliffs, NJ: Prentice Hall International, Inc., 1990.
9. L. Hetel, J. Daafouz, and C. Iung, "Equivalence between the Lyapunov-Krasovskii functionals approach for discrete delay systems and that of the stability conditions for switched systems," Nonlinear Analysis: Hybrid Systems, vol.51, no.10, pp. 697-705, 2008.
10. J. Hale, Theory of Functional Differential Equations. Springer-Verlag, New York, 1977.
11. S. Elaydi and S. Zhang, "Stability and periodicity of difference equations with finite delay," Funkcialaj Ekvacioj, vol.37, pp. 401-413, 1994.
12. B. Liu and H. Marquez, "Uniform stability of discrete delay systems and synchronization of discrete delay dynamical networks via Razumikhin technique," IEEE Transactions on Circuits and Systems, vol.55, no.9, pp. 2795-2805, 2008.
13. A. A. Ahmadi and P. A. Parrilo, "Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems," in 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008, pp. 614-621.
14. M. Kvasnica, P. Grieder, M. Baotic, and M. Morari, "Multi Parametric Toolbox (MPT)," in Hybrid Systems: Computation and Control, ser. Lecture Notes in Computer Science, Volume 2993. Pennsylvania, Philadelphia, USA: Springer-Verlag, mar 2004, pp. 448-462.
15. H. Barki, F. Denis, and F. Dupont, "Contributing vertices-based Minkowski sum computation of convex polyhedra," Computer-Aided Design, vol.41, pp. 525-538, 2009.
16. R. Sanyal, "Toplogical obstructions for vertex numbers of Minkowski sums," Journal of Combinatorial Theory, Series A, vol.116, pp. 168-179, 2009.
17. C. Weibel, "Minkowski sums of polytopes: Combinatorics and computation," Ph.D. dissertation, École Polytechnique Fédérale de Lausanne, Switzerland, 2007.
18. B. Grünbaum, Convex Polytopes. Springer-Verlag, New York, 2003.
19. M. Lazar, W. Heemels, S. Weiland, and A. Bemporad, "Stabilizing model predictive control of hybrid systems," IEEE Transactions on Automatic Control, vol.51, no.11, pp. 1813-1818, 2006.
20. M. Lazar, "Flexible control Lyapunov functions," in American Control Conference, St. Louis, MO, 2009, pp. 102-107.
21. D. Hrovat, "Survey of advanced suspension developments and related optimal control applications," Automatica, vol.33, no.10, pp. 1781-1817, 1997.
22. A. Bemporad, F. Borrelli, and M. Morari, "Min-max control of constrained uncertain discrete-time linear systems," IEEE Transactions on Automatic Control, vol.48, no.9, pp. 1600-1606, 2003.
23. J. Stewart, Calculus, Early Transcendentals. Thomson Learning - Brooks/Cole, 2003.