On the optimality of localized distributed controllers

Proceedings of the American Control Conference

Volumn 7, Issue , 2005, Pages 4583-4588

  Jovanovic, Mihailo R ^a  

^a University of Minnesota   (United States)

Author keywords

Inverse Optimality; Localized Control; Spatially Invariant Systems

Indexed keywords

INVERSE OPTIMALITY; LOCALIZED CONTROL; SPATIALLY INVARIANT SYSTEMS;

CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; OPTIMIZATION;

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 23944493556     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (28)

1. P. Varaiya, "Smart cars on smart roads: problems of control," IEEE Transactions on Automatic Control, vol. 38, no. 2, pp. 195-207, February 1993.
2. H. Raza and P. Ioannou, "Vehicle following control design for automated highway systems," IEEE Control Systems Magazine, vol. 16, no. 6, pp. 43-60, December 1996.
3. D. Swaroop and J. K. Hedrick, "Constant spacing strategies for platooning in automated highway systems," Transactions of the ASME. Journal of Dynamic Systems, Measurement and Control, vol. 121, no. 3, pp. 462-470, September 1999.
4. P. Seiler, A. Pant, and K. Hedrick, "Disturbance propagation in vehicle strings," IEEE Transactions on Automatic Control, vol. 49, no. 10, pp. 1835-1842, October 2004.
5. M. R. Jovanović and B. Bamieh, "On the ill-posedness of certain vehicular platoon control problems," submitted to IEEE Transactions on Automatic Control, 2003, available at http://www.ece.umn.edu/users/mihailo/.
6. M. R. Jovanović, J. M. Fowler, B. Bamieh, and R. D'Andrea, "On avoiding peaking in the control of vehicular platoons," submitted to Automatica, 2005, available at http://www.ece.umn.edu/users/mihailo/.
7. D. Chichka and J. Speyer, "Solar-powered, formation-enhanced aerial vehicle systems for sustained endurance," in Proceedings of the 1998 American Control Conference, 1998, pp. 684-688.
8. J. M. Fowler and R. D'Andrea, "Distributed control of close formation flight," in Proceedings of the 41st IEEE Conference on Decision and Control, 2002, pp. 2972-2977.
9. _, "A formation flight experiment," IEEE Control Systems Magazine, vol. 23, no. 5, pp. 35-43, October 2003.
10. V. Kapila, A. G. Sparks, J. M. Buffington, and Q. Yan, "Spacecraft formation flying: dynamics and control," Journal of Guidance, Control, and Dynamics, vol. 23, no. 3, pp. 561-564, May-June 2000.
11. R. W. Beard, J. Lawton, and F. Y. Hadaegh, "A coordination architecture for spacecraft formation control," IEEE Transactions on Control Systems Technology, vol. 9, no. 6, pp. 777-790, November 2001.
12. H. Wong, V. Kapila, and A. G. Sparks, "Adaptive output feedback tracking control of spacecraft formation," International Journal of Robust and Nonlinear Control, vol. 12, no. 2-3, pp. 117-139, February-March 2002.
13. D. T. Neilson, "MEMS subsystems for optical networking," in Proceedings of 8th Microoptics Conference (MOC 01), Osaka, Japan, 2001.
14. M. Napoli, B. Bamieh, and M. Dahleh, "Optimal control of arrays of microcantilevers," Transactions of the ASME. Journal of Dynamic Systems, Measurement and Control, vol. 121, no. 4, pp. 686-690, December 1999.
15. G. Ayres and F. Paganini, "Convex synthesis of localized controllers for spatially invariant systems," Automatica, vol. 38, p. 445456, 2002.
16. M. Rotkowitz and S. Lall, "Decentralized control information structures preserved under feedback," in Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, 2002, pp. 569-575.
17. 2 controllers for spatially invariant systems with delayed communication requirements," Systems and Control Letters, vol. 50, no. 5, pp. 347-361, December 2003.
18. G. Ayres and F. Paganini, "A method for decentralized control design in spatially invariant systems," in Proceedings of the 2003 American Control Conference, Denver, CO, 2003, pp. 125-130.
19. C. Langbort, R. S. Chandra, and R. D'Andrea, "Distributed control design for systems interconnected over an arbitrary graph," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1502-1519, September 2004.
20. B. D. O. Anderson and J. B. Moore, Optimal Control; Linear Quadratic Methods. New York, NY: Prentice Hall, 1990.
21. B. Bamieh, F. Paganini, and M. A. Dahleh, "Distributed control of spatially invariant systems," IEEE Transactions on Automatic Control, vol. 47, no. 7, pp. 1091-1107, July 2002.
22. R. E. Kalman, "When is a linear control system optimal?" Trans. ASME Ser. D: J. Basic Eng., vol. 86, pp. 1-10, March 1964.
23. R. F. Curtain and H. J. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory. New York: Springer-Verlag, 1995.
24. S. P. Banks, State-Space and frequency-domain methods in the control of distributed parameter systems. London, UK: Peter Peregrinus Ltd., 1983.
25. M. R. Jovanovic and B. Bamieh, "Lyapunov-based distributed control of systems on lattices," IEEE Transactions on Automatic-Control, vol. 50, no. 4, April 2005.
26. _, "Lyapunov-based state-feedback distributed control of systems on lattices," in Proceedings of the 2003 American Control Conference, Denver, CO, 2003, pp. 101-106.
27. _, "Lyapunov-based output-feedback distributed control of systems on lattices," in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, 2003, pp. 1333-1338.
28. M. R. Jovanović, "Modeling, analysis, and control of spatially distributed systems," Ph.D. dissertation. University of California, Santa Barbara, 2004, available at http://www.ece.umn.edu/users/ mihailo/.