Output synchronization of linear parameter-varying systems via dynamic couplings

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2012, Pages 5128-5133

  Seyboth, Georg S ^a   Schmidt, Gerd S ^a   Allgower, Frank ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; LINEAR SYSTEMS;

DIFFUSIVE COUPLING; DYNAMIC COUPLINGS; HOMOGENEOUS GROUP; LINEAR PARAMETER VARYING; LINEAR PARAMETER VARYING SYSTEMS; LOCAL PARAMETERS; OUTPUT SYNCHRONIZATION; SCALABLE SOLUTION;

SYNCHRONIZATION;

EID: 84874243599     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2012.6426752     Document Type: Conference Paper

References (22)

1. W. Ren and R. W. Beard, Distributed consensus in multi-vehicle cooperative control: Theory and applications. Springer, 2008.
2. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Automat. Control, vol. 49, no. 9, pp. 1520-1533, 2004.
3. L. Moreau, "Stability of continuous-time distributed consensus algorithms," 2004, pp. 3998-4003.
4. S. E. Tuna, "Conditions for synchronizability in arrays of coupled linear systems," IEEE Trans. Automat. Control, vol. 54, no. 10, pp. 2416-2420, 2009.
5. L. Scardovi and R. Sepulchre, "Synchronization in networks of identical linear systems," Automatica, vol. 45, no. 11, pp. 2557-2562, 2009.
6. C. Ma and J. Zhang, "Necessary and sufficient conditions for consensusability of linear multi-agent systems," IEEE Trans. Automat. Control, vol. 55, no. 5, pp. 1263-1268, 2010.
7. P. Wieland, "An internal model principle for consensus in heterogeneous linear multi-agent systems," in Proc. 1st IFAC Workshop on Estimation and Control of Networked Systems, 2009, pp. 7-12.
8. P. Wieland, R. Sepulchre, and F. Allgöwer, "An internal model principle is necessary and sufficient for linear output synchronization," Automatica, vol. 47, no. 5, pp. 1068-1074, 2011.
9. H. Kim, H. Shim, and J. H. Seo, "Output consensus of heterogeneous uncertain linear multi-agent systems," IEEE Trans. Automat. Control, vol. 56, no. 1, pp. 200-206, 2011.
10. K. D. Listmann, A. Wahrburg, J. Strubel, J. Adamy, and U. Konigorski, "Partial-state synchronization of linear heterogeneous multi-agent systems," in Proc. 50th IEEE Conf. Decision and Control (CDC), 2011, pp. 3440-3445.
11. J. Lunze, "An internal-model principle for the synchronisation of autonomous agents with individual dynamics," in Proc. 50th IEEE Conf. Decision and Control (CDC), 2011, pp. 2106-2111.
12. B. A. Francis andW.Wonham, "The internal model principle of control theory," Automatica, vol. 12, no. 5, pp. 457-465, 1976.
13. G. S. Seyboth, G. S. Schmidt, and F. Allgöwer, "Cooperative control of linear parameter-varying systems," in Proc. American Control Conference (ACC), 2012, pp. 2407-2412.
14. V. Ugrinovskii, "Gain-scheduled synchronization of uncertain parameter varying systems via relative H∞ consensus," in Proc. 50th IEEE Conf. Decision and Control (CDC), 2011, pp. 4251-4256.
15. H. Köroglu and C. W. Scherer, "Scheduled control for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies," Automatica, vol. 47, no. 3, pp. 504-514, 2011.
16. P. Apkarian, "Self-scheduled H∞ control of linear parameter-varying systems: A design example," Automatica, vol. 31, no. 9, pp. 1251- 1261, 1995.
17. W. J. Rugh, Linear system theory, 2nd ed. Prentice Hall, 1996.
18. F. M. Callier and C. A. Desoer, Linear system theory. Springer, 1991.
19. 2- norm control for LPV systems with bounded parameter variation rates," International Journal of Robust and Nonlinear Control, vol. 6, no. 910, pp. 983-998, 1996.
20. A. Ichikawa and H. Katayama, "Output regulation of time-varying systems," Systems & Control Letters, vol. 55, no. 12, pp. 999-1005, 2006.
21. G. Balas, J. Bokor, and Z. Szabo, "Invariant subspaces for LPV systems and their applications," IEEE Trans. Automat. Control, vol. 48, no. 11, pp. 2065-2069, 2003.
22. H. W. Knobloch and H. Kwakernaak, Lineare Kontrolltheorie. Springer, 1985.