A state-space solution to the two-player decentralized optimal control problem

2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Volumn , Issue , 2011, Pages 1559-1564

  Lessard, Laurent ^a   Lall, Sanjay ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLLER; ORIGINAL SYSTEMS; OUTPUT FEEDBACK; QUADRATIC COSTS; STATE-SPACE;

COMMUNICATION; CONTROL; LINEAR SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION;

CONTROLLERS;

EID: 84856082610     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/Allerton.2011.6120353     Document Type: Conference Paper

References (14)

1. G. E. Dullerud and F. Paganini. A Course in Robust Control Theory: A Convex Approach. Springer Verlag, 2000.
2. Y.-C. Ho and K.-C. Chu. Team decision theory and information structures in optimal control problems - Part I. IEEE Transactions on Automatic Control, 17(1):15-22, 1972.
3. M. Rotkowitz. On information structures, convexity, and linear optimality. In IEEE Conference on Decision and Control, pages 1642-1647, 2008.
4. M. Rotkowitz and S. Lall. A characterization of convex problems in decentralized control. IEEE Transactions on Automatic Control, 51(2):274-286, 2006.
5. M. Rotkowitz and S. Lall. Convexification of optimal decentralized control without a stabilizing controller. In Proceedings of the International Symposium on Mathematical Theory of Networks and Systems (MTNS), pages 1496-1499, 2006.
6. S. Sabǎ;u and N. Martins. On the stabilization of LTI decentralized configurations under quadratically invariant sparsity constraints. In Allerton Conference on Communication, Control, and Computing, pages 1004-1010, 2010.
7. P. Shah and P. A. Parrilo. A partial order approach to decentralized control. In IEEE Conference on Decision and Control, pages 4351-4356, 2008.
8. 2-optimal decentralized control over posets: A state space solution for state-feedback. In IEEE Conference on Decision and Control, pages 6722-6727, 2010.
9. J. Swigart and S. Lall. An explicit state-space solution for a decentralized two-player optimal linear-quadratic regulator. In American Control Conference, pages 6385-6390, 2010.
10. J. Swigart and S. Lall. Optimal controller synthesis for a decentralized two-player system with partial output feedback. In American Control Conference, pages 317-323, 2011.
11. P. Voulgaris. Control of nested systems. In American Control Conference, volume 6, pages 4442-4445, 2000.
12. H. S. Witsenhausen. A counterexample in stochastic optimum control. SIAM Journal on Control, 6:131, 1968.
13. D. Youla, H. Jabr, and J. Bongiorno, J. Modern wienerhopf design of optimal controllers - Part II: The multi-variable case. IEEE Transactions on Automatic Control, 21(3):319-338, 1976.
14. K. Zhou, J. Doyle, and K. Glover. Robust and optimal control. Prentice-Hall, 1995.