Distributed receding horizon control of spatially invariant systems

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 731-736

  Motee, Nader ^a   Jadbabaie, Ali ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; COST FUNCTIONS; FOURIER ANALYSIS; OPTIMAL CONTROL SYSTEMS; QUADRATIC PROGRAMMING;

HORIZON CONTROL; MULTI PARAMETRIC QUADRATIC PROGRAMMING (MPQP); STATE CONSTRAINTS;

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 34047196289     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (36)

1. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. on Automatic Control, vol. 48, no. 6, pp. 988-1001, June 2003.
2. J. Cortes, S. Martinez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Trans. on Robotics and Automation, vol. 20, no. 2, pp. 243-255, February 2004.
3. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans, on Automatic Control, vol. 49, no. 9, pp. 1520-1533, September 2004.
4. J. A. Fax and R. M. Murray, "Graph Laplacians and stabilization of vehicle formations," 15th IFAC Congress, Barcelona, Spain, 2002.
5. E. Justh and P. Krishnaprasad, "Equilibria and steering laws for planar formations," Systems and Control letters, vol. 52, no. 1, pp. 25-38, May 2004.
6. L. Moreau, "Stability of multiagent systems with time-dependent communication links, IEEE Trans. on Automatic Control, vol. 50, no. 2, pp. 169-182, February 2005.
7. Z. Lin, M. Brouke, and B. Francis, "Local control strategies for groups of mobile autonomous agents," IEEE Trans. on Automatic Control, vol. 49, no. 4, pp. 622-629, April 2004.
8. W. B. Dunbar, "Distributed receding horizon control with application to multi-vehicle formation stabilization," Ph.D. Thesis, California Inst. of Tech., Pasadena, CA, 2004.
9. L. Acar, "Some examples for the decentralized receding horizon control," in Proc. of 31st IEEE Conference on Decision and Control, pp. 1356-1359.
10. S. Oschs, S. Engell, and A. Draeger, "Decentralized vs. model predictive control of an industrial glass tube manufacturing process, in Proc. of teh IEEE International Conference on Control Applications, Trieste, Italy, pp. 16-20.
11. Y. Guo, D. Hill, and Y. Wang, "Nonlinear decentralized control of large-scale power systems," Technical Report: EE-98020, Electrical and Information Engineering School The University of Sydney, vol. NSW 2006, Australia.
12. E. Camponogara, D. Jia, B. Krogh, and S. Talukdar, "Distributed model predictive control," IEEE Control Systems Magazine.
13. P. Hines, D. Jia, and S. Talukdar, "Distributed model predictive control for electric grids," in Proc. of the Carnegie Mellon Transmission Conf., Pittsburgh, 2004.
14. M. Jamoom, E. Feron, and M. McConley, "Optimal distributed actuator control grouping schemes," in P roc. 37th IEEE Conf. on Decision and Control, 1998, pp. 1900-1905.
15. N. Motee and B. Sayyar-Rodsari, "Optimal partitioning in distributed model predictive control," in Proc. of the American Control Conference, Denver, CO, USA, 2003.
16. W. S. Levine and M. Athans, "On the optimal error regulation of a string of moving vehicles," IEEE Trans. on Automatic Control, vol. AC-11, no. 3, p. 355361, 1966.
17. S. M. Melzer and B. C. Kuo, "Optimal regulation of systems described by a countably infinite number of objects," Automatica, vol. 7, p. 359366.
18. M. Jovanovic and B. Bamieh, "On the ill-posedness of certain vehicular platoon control problems," IEEE Trans. Automatic Control, vol. 50, no. 9, pp. 1307-1321, 2005.
19. B. Bamieh, F. Paganini, and M. A. Dahleh, "Distributed control of spatially invariant systems," IEEE Trans. Automatic Control, vol. 47, no. 7, pp. 1091-1107, 2002.
20. R. D'Andrea and G. Dullerud, "Distributed control design for spatially interconnected systems," IEEE Trans. Automatic Control, vol. 48, no. 9, pp. 1478-1495, 2003.
21. C. Langbort and R. D'Andrea, "Distributed control of spatially reversible interconnected systems with boundary conditions," SIAM J. Control Optim., vol. 44, no. 1, pp. 1-28.
22. G. Dullerud and R. D'Andrea, Distributed control of heterogeneous systems," IEEE Trans, on Automatic Control, vol. 49, no. 12, pp. 2113-2128, 2004.
23. G. Hagen, I. Mezic, and B. Bamieh, "Distributed control design for parabolic exolution equations: Application to compressor stall control," IEEE Trans. Automatic Control, vol. 49, no. 8, 2004.
24. C. Langbort, R. Chandra, and R. D'Andrea, "Distributed control design for systems interconnected over an arbitrary graph," IEEE Trans, on Automatic Control, vol. 49, no. 9, pp. 1502-1519, 2004.
25. M. L. El-Sayed and P. Krishnaprasad, "Homogeneous interconnected systems : An example," IEEE Trans. on Automatic Control, vol. AC-26, no. 4, 1981.
26. A. Bemporad, M. Morari, V. Dua, and E. N. Pistikopoulos, "The explicit linear quadratic regulator for constrained systems," Automatica, vol. 38, no. 1, 2002.
27. P. Lax, Functional Analysis. John Wiley, 2002.
28. A. Kolmogorov and S. Fomin, Introductory Real Analysis. Dover, 1970.
29. N. Motee and A. Jadbabaie, "Receding horizon control of spatially distributed systems," IEEE Trans, on Automatic Control, April 2006, submitted. [Online]. Available: http://www.grasp.upenn.edu/~motee/TAC06RHC.pdf
30. L. Hormander, The Analysis of Linear Partial Differential Operators I,2nd Ed. Springer-Verlag, 1990.
31. M. Seron, J. DeDona, and G. Goodwin, "Global analytic modelpredictive control with input constraints," in Proc. of the IEEE COnference on Decision and Control, Sydney, Australia, 2000.
32. D. Q. Mayne, J. B. Rawlings, C. Rao, and P. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, no. 6, pp. 789-814, 2000.
33. D. Chmielewski and V. Manousiouthakis, "On constrained infinite-time linear quadratic optimal control," Systems and Control Letters, vol. 29, pp. 121-129, 1996.
34. P. Scokaert and J. Rawlings, "Constrained linear quadratic regulation," IEEE Trans. on Automatic Control, vol. 43, pp. 1163-1169, August 1999.
35. R. T. Rockafellar, Convex Analysis. Princeton University Press, 1970.
36. M. Kvasnica, P. Grieder, and M. Baotić, "Multi-Parametric Toolbox (MPT)," 2004. [Online]. Available: http://control.ee.ethz.ch/~mpt/