The design of multi-lead-compensators for stabilization and pole placement in double-integrator networks under saturation

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 3512-3518

  Wan, Yan ^a   Roy, Sandip ^a   Saberi, Ali ^a   Stoorvogel, Anton ^b  

^a WASHINGTON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATOR SATURATIONS; COMPENSATOR DESIGN; DECENTRALIZED CONTROLLER DESIGN; DYNAMICAL NETWORKS; INTERNAL DYNAMICS; MEMORY ELEMENT; POLE PLACEMENT;

CONTROLLERS; POLES; POLES AND ZEROS; STABILIZATION;

AUTONOMOUS AGENTS;

EID: 70449657321     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160265     Document Type: Conference Paper

References (30)

1. Y. Wan and S. Roy, "A scalable methodology for evaluating and designing coordinated air traffic flow management strategies under uncertainty," IEEE Transactions on Intelligent Transportation Systems, in press. Short version in Proceedings of AIAA 2007 Guidance, Navigation, and Control Conference, Hilton Head, South Carolina, 20-23 August, 2007.
2. Y. Wan, S. Roy, and A. Saberi, "Designing spatially-heterogeneous strategies for control of virus spread," IET Systems Biology, vol. 2, No. 4, pp. 184-201, 2008. Short version in Proceedings of 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 12-14 December, 2007.
3. Y. Wan, S. Roy, and A. Saberi, "A stochastic automaton-based algorithm for flexible and distributed network partitioning," International Journal of Distributed Sensor Networks, vol. 4, no. 3, pp. 223-246, 2008.
4. Y. Wan, S. Roy, A. Saberi, and A. Stoorvogel, "A multiple-derivative and multiple-delay paradigm for decentralized controller design: introduction using the canonical double-integrator network," submitted to Automatica. Short version in Proceedings of AIAA 2008 Guidance, Navigation, and Control Conference, Honolulu, Hawaii, 18-21 August, 2008.
5. Y. Wan, S. Roy, and A. Saberi, "A new focus in the science of networks: toward methods for design," Proceedings of the Royal Society A, vol. 464, pp. 513-535, March, 2008.
6. S. Roy, A. Saberi, and K. Herlugson, "Formation and alignment of distributed sensing agents with double-integrator dynamics," IEEE Press Monograph on Sensor Network Operations, April 2006.
7. C. W. Wu and L. Chua, "Application of kronecker products to the analysis of systems with uniform linear coupling, " IEEE Transactions on Circuits and Systems I, vol. 42, no. 10, pp. 775-779, October 1995.
8. C. W. Wu and L. Chua, "Application of graph theory to the synchronization in an array of coupled nonlinear oscillators, " IEEE Transactions on Circuits and Systems I, vol. 42, no. 8, pp. 494-497, October 1995.
9. S. H. Strogatz, "Coupled Oscillators and Biological Synchronization," Scientific American, vol. 269, no. 6, pp. 102-109, Dec. 1993.
10. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465-1476, September 2004.
11. A. Pogromsky and H. Nijmeijer, "Cooperative oscillatory behavior of mutually coupled dynamical systems," IEEE Transactions on Circuits and Systems, Part I, vol. 48, no. 2, Feb. 2001.
12. J. Baillieul and P. J. Antsaklis, "Control and communication challenges in networked real-time systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 9-28, Jan. 2007.
13. S. Roy, A. Saberi, and A. Stoorvogel, "Toward a control theory for networks," International Journal of Robust and Nonlinear Control, vol. 17, no. 10-11, p. 897, July 2007.
14. Z. Duan, J. Wang, G. Chen, and L. Huang, "Stability analysis and decentralized control of a class of complex dynamical networks, " Automatica, vol. 44, pp. 1028-1035, 2008.
15. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Transactions on Automatic Control, vol. 53, no. 6, pp. 1503-1509, Jul. 2008.
16. S. Wang and E. J. Davison, "On the stabilization of decentralized control systems," IEEE Transactions on Automatic Control, vol. AC-18, pp. 473-478, October 1973.
17. D. Siljak, Decentralized Control of Complex Systems, Academic Press: Boston, 1994.
18. J. P. Corfmat and A. S. Morse, "Decentralized control of linear multivariable systems," Automatica, vol. 12, pp. 479-495, 1976.
19. Y. Wan, S. Roy, A. Saberi, and A. Stoorvogel, "A multiple-derivative and multiple-delay paradigm for decentralized controller design: uniform rank systems," submitted to Automatica.
20. S. Boyd, "Convex optimization of graph laplacian eigenvalues," in Proceedings of the International Congress of Mathematicians, vol. 3, pp. 1311-1319, 2006.
21. M. E. Fisher and A. T. Fuller,"On the Stability of matrices and the convergence of linear iterative processes," Proceedings of the Cambridge Philosophical Society, vol. 45, pp. 417-425, 1958
22. S. Roy, A. Saberi, and P. Petite,"Scaling: a canonical design problem for networks," in the Proceedings of the 50th American Control Conference, Minneapolis,MN, June 2006. Extended version in the International Journal of Control (by S. Roy and A. Saberi), vol. 80, no. 8, pp. 1342-1353, 2007.
23. Y. Wan, S. Roy, X. Wang, A. Saberi, T. Yang, M. Xue, and B. Malek, "On the structure of graph edge designs that optimize the algebraic connectivity," in Proceedings of 47th IEEE Conference on Decision and Control, Cancun, Mexico, 9-11 December, 2008
24. S. Roy, Y. Wan, and A. Saberi, "On time-scale designs for networks," International Journal of Control, in press. Short version in Proceedings of 47th IEEE Conference on Decision and Control, Cancun, Mexico, 9-11 December, 2008.
25. B. D. O. Anderson and J. B. Moore, "Time-varying feedback laws for decentralized control," IEEE Transactions on Automatic Control, Vol. 26, No. 5, pp. 1133-1139, October 1981.
26. A. Saberi, B. M. Chen, and P. Sannuti, Loop Transfer Recovery: Analysis and Design, Springer-Verlag, 1993.
27. A. Stoorvogel, A. Saberi, C. Deliu, and P. Sannuti, "Decentralized stabilization of time-invariant systems subject to actuator saturation," Advanced Strategies in Control Systems with Input and Output Constraints, LNCIS series (S. Tarbouriech et al eds.), Springer-Verlag, June 2006.
28. S. Roy, Y. Wan, A. Saberi, and B. Malek, "An alternative approach to designing stabilizing compensators for saturating linear time-invariant plants," to appear in the Proceedings of 47th IEEE Conference on Decision and Control, Cancun, Mexico, December 9-11, 2008. PDF available at www.eecs.wsu.edu/̃ywan.
29. Z. Lin and A. Saberi, "Semi-global exponential stabilization on linear systems subject to "input saturation" via linear feedbacks," Systems and Control Letters, vol. 21, pp. 225-239, 1993.
30. Z. Lin and A. Saberi, "A semi-global low-and-high gain design technique for linear systems with input saturation - stabilization and disturbance rejection," International Journal of Robust and Nonlinear Control, vol. 5, pp. 381-398, 1995.