Distributed optimization for cooperative agents: Application to formation flight

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2004, Pages 2453-2459

  Raffard, Robin L ^a   Tomlin, Claire J ^b   Boyd, Stephen P ^b  

^a Department of Aeronautics and Astronautics Department of Mechanical Engineering and Industrial for Computational and Mathematical Engineering   (United States)

^b Department of Aeronautics ^*

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; AUTOMATION; LAGRANGE MULTIPLIERS; LARGE SCALE SYSTEMS; OPTIMIZATION; POLYNOMIALS; THEOREM PROVING;

COOPERATIVE AGENTS; DUAL COMPOSITION; NONLINEAR PROBLEMS; OPTIMAL TRAJECTORIES;

DISTRIBUTED PARAMETER CONTROL SYSTEMS;

EID: 14244262402     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1428778     Document Type: Conference Paper

References (20)

1. J.P. AUBIN and I. EKELAND. Estimates of the duality gap in nonconvex optimization Math. Oper. Res. 1,225-245, 1976.
2. D.P. BERTSEKAS. Nonlinear Programming. Athena Scientific, second edition, 1999.
3. D.P. BERTSEKAS. Constrained optimization and lagrange multiplier methods. Academic Press, N.Y., 1982.
4. S. BOYD and L. VANDENBERGHE. Convex Optimization. Cambridge University Press, 2003.
5. P. CATHALIFAUD and T.R BEWLEY. A noncausal framework for model-based feedback control of spatially-developing perturbations in boundary-layer flow systems, part i: Formulation. Systems and Control Letters 51 (1), 1-1, 2004.
6. C.LEMARECHAL and A.RENAUD. A geometric study of duality gaps, with applications. Math. Program., Ser. A 90: 399-427 (2001).
7. R. D' ANDREA and G.E. DULLERUD. Distributed control design for spatially interconnected systems. IEEE Transactions on Automatic Control, 48(9):1478-1495, 2003.
8. G.B. DANTZIG and P. WOLFE. Decomposition principle for linear programs. Operations Research, Vol. 8, pp. 101-111, 1960.
9. J.A. FAX. Optimal and Cooperative Control of Vehicle Formations. PhD Dissertation, California Institute of Technology, 2002.
10. G. INALHAN, D.M. STIPANOVIC, and C.J. TOMLIN. Decentralized optimization, with application to multiple aircraft coordination. In the Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, December 2002.
11. A. JADBABAIE, J. LIN, and A.S. MORSE. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, Vol. 48, No. 6, pp. 988-1001, June 2003.
12. H-T L LEE, I.M. KROO, and S BIENIAWSKI. Flutter suppression for high aspect ratio flexible wings using microflaps. AIAA paper 2002, 43rd AIAA/ASME/ASCE/AHS/ASC, April 2002.
13. I. MITCHELL. Application of Level Set Methods to Control and Reachability Problems in Continuous and Hybrid Systems. PhD Dissertation, Stanford University, 2002.
14. P. OGREN, E. FIORELLI, and N.E. LEONARD. Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment Preprint, submitted for publication, 2003.
15. B.T. POLIAK. Introduction to Optimization. Optimization Software Inc., N.Y., 1987.
16. N.Z. SHOR. Minimization Methods for Nondifferentiable Functions. Springer-Verlag, Berlin, 1985.
17. D. SILJAK, S. S. STANKOVIC, X. B. CHEN, and M. R. MATAUSEK. Stochastic inclusion principle applied to decentralized automatic generation control. International Journal of Control, vol. 72, no. 5, pp. 276-288, 1999.
18. D.M. STIPANOVIC, G. INALHAN, R. TEO, and C.J. TOMLIN. Decentralized overlapping control of a formation of unmanned aerial vehicles. To appear in Automatica, 2004.
19. P. TABUADA, G.J. PAPPAS, and P. LIMA. Decentralizing formations of multi-agent systems. Proceedings of the 10th Mediterranean Conference on Control and Automation, Lisbon, Portugal, July 2002.
20. J.D. WOLFE, D.F. CHICHKA, and J.L SPEYER. Decentralized controllers for unmanned aerial vehicle formation flight. Proceedings of the AIAA Guidance, Navigation, and Control Conference, San Diego, August 1996.