Parsimonious event-triggered distributed control: A Zeno free approach

Automatica

Volumn 49, Issue 7, 2013, Pages 2116-2124

  De Persis, C ^a,b   Sailer, R ^c   Wirth, F ^b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

Distributed control; Event triggering; Nonlinear systems; Sampled data control; Small gain theorem

Indexed keywords

DISTRIBUTED CONTROL; DISTRIBUTED CONTROLLER; EVENT-TRIGGERED SAMPLINGS; EVENT-TRIGGERING; INTERCONNECTED LARGE-SCALE SYSTEMS; LIMITED COMMUNICATION; SAMPLED-DATA CONTROL; SMALL GAIN THEOREM;

LARGE SCALE SYSTEMS; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS);

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 84878891451     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2013.03.003     Document Type: Article

References (25)

1. Ravi P. Agarwal Difference equations and inequalities: theory, methods, and applications (2.; rev. and expanded ed.) Pure and applied mathematics vol. 228 2000 Dekker New York
2. A. Anta, and P. Tabuada To sample or not to sample: self-triggered control for nonlinear systems IEEE Transactions on Automatic Control 55 9 2010 2030 2042
3. A. Bacciotti, and L. Rosier Liapunov functions and stability in control theory 2005 Springer Verlag London
4. S. Dashkovskiy, B.S. Rüffer, and F.R. Wirth An ISS small gain theorem for general networks Mathematics of Control, Signals, and Systems 19 2 2007 93 122
5. S.N. Dashkovskiy, B.S. Rüffer, and F.R. Wirth Small gain theorems for large scale systems and construction of ISS Lyapunov functions SIAM Journal on Control and Optimization 48 6 2010 4089 4118
6. De Persis, C.; Sailer, R.; & Wirth, F. (2011). On a small-gain approach to distributed event-triggered control. In IFAC world congress (pp. 2401-2406). Milan, Italy.
7. De Persis, C.; Sailer, R.; & Wirth, F. (2012). Event-triggering of large-scale systems without Zeno behaviour. In Proceedings of the 20th international symposium on mathematical theory of networks and systems MTNS2012. Melbourne, Australia. July. Paper 216.
8. 2-gain and improved event-triggering. In Proceedings of the 49th IEEE conference on decision and control, Atlanta, GA (pp. 3246-3251).
9. Freeman, R.A.; & Kokotovic, P.V. (1993). Global robustness of nonlinear systems to state measurement disturbances. In Proceedings of the IEEE conference on decision and control, vol. 2 (pp. 1507-1512).
10. Ito, H.; Dashkovskiy, S.; & Wirth, F. (2009). On a small gain theorem for networks of iISS systems. In Proceedings of the IEEE conference on decision and control, Shanghai, China (pp. 4210-4215).
11. Z.P. Jiang, I. Mareels, and D. Hill Robust control of uncertain nonlinear systems via measurement feedback IEEE Transactions on Automatic Control 44 4 1999 807 812
12. Z.P. Jiang, I.M.Y. Mareels, and Y. Wang A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems Automatica 32 8 1996 1211 1215
13. Z.P. Jiang, A.R. Teel, and L. Praly Small-gain theorem for ISS systems and applications Mathematics of Control, Signals, and Systems 7 2 1994 95 120
14. Liu, T.; Jiang, Z.-P.; & Hill, D.J. (2010). Lyapunov-ISS cyclic-small-gain in hybrid dynamical networks. In Proceedings of the 8th IFAC symposium on nonlinear control systems, Bologna, Italy (pp. 813-818).
15. M. Mazo Jr.; A. Anta, and P. Tabuada An ISS self-triggered implementation of linear controllers Automatica 46 8 2010 1310 1314
16. M. Mazo, and P. Tabuada Decentralized event-triggered control over wireless sensor/actuator networks IEEE Transactions on Automatic Control 56 10 2011 2456 2461
17. D.D. Šiljak Decentralized control of complex systems 1978 North Holland New York, Amsterdam, Oxford
18. E.D. Sontag Smooth stabilization implies coprime factorization IEEE Transactions on Automatic Control 34 4 1989 435 443
19. E.D. Sontag, and Y. Wang On characterizations of the input-to-state stability property System & Control Letters 24 5 1995 351 359
20. P. Tabuada Event-triggered real-time scheduling of stabilizing control tasks IEEE Transactions on Automatic Control 52 9 2007 1680 1685
21. A. Teel A nonlinear small gain theorem for the analysis of control systems with saturation IEEE Transactions on Automatic Control 41 9 1996 1256 1270
22. M. Vidyasagar Input-output analysis of large-scale interconnected systems 1981 Springer-Verlag Berlin, Heidelberg, New York
23. X. Wang, and M. Lemmon Event-triggering in distributed networked systems with data dropouts and delays R. Majumdar, P. Tabuada, Hybrid systems: computation and control LNCS vol. 5469 2009 Springer-Verlag Berlin, Heidelberg 366 380
24. X. Wang, and M. Lemmon Self-triggered feedback control systems with finite-gain L2 stability IEEE Transactions on Automatic Control 45 3 2009 452 467
25. X. Wang, and M. Lemmon Event-triggering in distributed networked control systems IEEE Transactions on Automatic Control 56 3 2011 586 601