Decentralized Control of Unstable Systems and Quadratically Invariant Information Constraints

Proceedings of the IEEE Conference on Decision and Control

Volumn 3, Issue , 2003, Pages 2865-2871

  Rotkowitz, Michael ^a   Lall, Sanjay ^a  

^a 496 Lomita Mall   (United States)

Author keywords

Convex optimization; Decentralized control

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; LARGE SCALE SYSTEMS; MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA;

CONVEX OPTIMIZATION; CONVEX PROGRAMMING;

DECENTRALIZED CONTROL;

EID: 1542378397     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. V. Anantharam and C. A. Desoer. On the stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 29(6):569-572, 1984.
2. B. Bamieh and P. G. Voulgaris. Optimal distributed control with distributed delayed measurements. In Proceedings of the IFAC World Congress, 2002.
3. V. D. Blondel and J. N. Tsitsiklis. A survey of computational complexity results in systems and control. Automatica, 36(9):1249-1274, 2000.
4. S. Boyd and C. Barratt. Linear Controller Design: Limits of Performance. Prentice-Hall, 1991.
5. C. Fan, J. L. Speyer, and C. R. Jaensch. Centralized and decentralized solutions of the linear-exponential-gaussian problem. IEEE Transactions on Automatic Control, 39(10):1986-2003, 1994.
6. ∞ control theory. In Lecture notes in control and information sciences, volume 88. Springer-Verlag, 1987.
7. 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.
8. S. Mitter and A. Sahai. Information and control: Witsenhausen revisited. Lecture Notes in Control and Information Sciences, 241:281-293, 1999.
9. C. H. Papadimitriou and J. N. Tsitsiklis. Intractable problems in control theory. SIAM Journal on Control and Optimization, 24:639-654, 1986.
10. X. Qi, M. Salapaka, P. G. Voulgaris, and M. Khammash. Structured optimal and robust control with multiple criteria: A convex solution. Pre-print, December 2002.
11. R. Radner. Team decision problems. Annals of mathematical statistics, 33:857-881, 1962.
12. M. Rotkowitz and S. Lall. Decentralized control information structures preserved under feedback. In Proceedings of the IEEE Conference on Decision and Control, pages 569-575, 2002.
13. D. D. Siljak. Decentralized control of complex systems. Academic Press, Boston, 1994.
14. P. G. Voulgaris. Control under structural constraints: An input-output approach. In Lecture notes in control and information sciences, pages 287-305, 1999.
15. P. G. Voulgaris. A convex characterization of classes of problems in control with specific interaction and communication structures. In Proceedings of the American Control Conference, 2001.
16. S. Wang and E. J. Davison. On the stabilization of decentralized control systems. IEEE Transactions on Automatic Control, 18(5):473-478, 1973.
17. H. S. Witsenhausen. A counterexample in stochastic optimum control. SIAM Journal of Control, 6(1):131-147, 1968.
18. H. S. Witsenhausen. Separation of estimation and control for discrete time systems. Proceedings of the IEEE, 59(11):1557-1566, 1971.
19. D.C. Youla, H.A. Jabr, and J.J. Bongiorno Jr. Modern Wiener-Hopf design of optimal controllers: part II. IEEE Transactions on Automatic Control, 21:319-338, 1976.
20. G. Zames. Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses. IEEE Transactions on Automatic Control, 26(2):301-320, 1981.