On scalar LQG control with communication cost

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 2805-2810

  Ko, Chih Kai ^a   Gao, Xiaojie ^a   Prajna, Stephen ^a   Schulman, Leonard J ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION SYSTEMS; COMPUTATION THEORY; CONSTRAINT THEORY; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

COMMUNICATION CONSTRAINTS; LQG CONTROL; QUADRATIC PENALTY; SCALAR SYSTEMS;

CONTROL SYSTEMS;

EID: 33847187731     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582588     Document Type: Conference Paper

References (29)

1. Yaakov Bar-Shalom and Edison Tse. Dual effect, certainty equivalence, and separation in stochastic control. IEEE Transactions on Automatic Control, AC-19:494-500, Oct. 1974.
2. Dimitri P. Bertsekas. Dynamic Programming and Optimal Control, volume 1. Athena Scientific, Belmont, MA, 2000.
3. Dimitri P. Bertsekas. Dynamic Programming and Optimal Control, volume 2. Athena Scientific, Belmont, MA, 2000.
4. Vivek S. Borkar and Sanjoy K. Mitter. LQG control with communication constraints. In Communications, Computation, Control, and Signal Processing: A Tribute to Thomas Kailath, Norwell, MA, 1997. Kluwer.
5. Stephen Boyd, Laurent El Ghaoui, Eric Feron, and Venkataramanan Balakrishnan. Linear Matrix Inequalities in System and Control Theory. Society for Industrial and Applied Mathematics, Philadelphia, PA, 1994.
6. Stephen Boyd and Lieven Vandenberghe. Convex Optimization. Cambridge University Press, 2004.
7. Roger W. Brockett and Daniel Liberzon. Quantized feedback stabilization of linear systems. IEEE Transactions on Automatic Control, 45(7):1279-1289, July 2000.
8. Tunç Şimşek, Rahul Jain, and Pravin Varaiya. Scalar estimation and control with noisy binary observations. IEEE Transactions on Automatic Control, 49(9):1598-1603, Sept. 2004.
9. David F. Delchamps. Extracting state information from a quantized output record. Systems & Control Letters, 13:365-372, 1989.
10. David F. Delchamps. Stabilizing a linear system with quanitzed state feedback. IEEE Transactions on Automatic Control, 35(8):916-924, Aug. 1990.
11. Nicola Elia. When Bode meets Shannon: Control-oriented feedback communication schemes. IEEE Transactions on Automatic Control, 49(9):1477-1488, Sept. 2004.
12. Vijay Gupta, Demetri Spanos, Babak Hassibi, and Richard Murray. Optimal LQG control across a packet-dropping link. IEEE Transactions on Automatic Control, 2004. submitted for publication.
13. Rahul Jain, Tunç Şimşek, and Pravin Varaiya. Control under communication constraints. In Proceedings of the 41st IEEE Conference on Decision and Control, pages 3209-3216, Las Vegas, NV, Dec 2002.
14. Daniel Liberzon. A note on stabilization of linear systems using coding and limited communication. In Proceedings of the 41st IEEE Conference on Decision and Control, pages 836-841, Las Vegas, NV, Dec. 2002.
15. Daniel Liberzon. On stabilization of linear systems with limited information. IEEE Transactions on Automatic Control, 48(2):304-307, Feb. 2003.
16. Nuno C. Martins and Munther A. Dahleh. Feedback control in the presence of noisy channels: Bode-like fundamental limitations of performance. IEEE Transactions on Automatic Control, 2004. submitted for publication.
17. Anant Sahai. Anytime Information Theory. PhD thesis, Massachusetts Institute of Technology, 2001.
18. Robert F. Stengel. Optimal Control and Estimation. Dover Publications, Inc., Mineola, NY, 1994.
19. Sekhar Tatikonda and Sanjoy Mitter. Control over noisy channels. IEEE Transactions on Automatic Control, 49(7):1196-1201, July 2004.
20. Sekhar Tatikonda and Sanjoy Mitter. Control under communication constraints. IEEE Transactions on Automatic Control, 49(7):1056-1068, July 2004.
21. Sekhar Tatikonda, Anant Sahai, and Sanjoy Mitter. Control of LQG systems under communications constraints. In Proceedings of the American Control Conference, pages 2778-2782, San Diego, CA, June 1999.
22. Sekhar C. Tatikonda. Control Under Communication Constraints. PhD thesis, Massachusetts Institute of Technology, 2000.
23. Sekhar C. Tatikonda, Anant Sahai, and Sanjoy Mitter. Stochastic linear control over a communication channel. IEEE Transactions on Automatic Control, 49(9):1549-1561, Sept. 2004.
24. Lieven Vandenberghe and Stephen Boyd. Semidefinite programming. SIAM Review, 38(1):49-95, 1996.
25. Hans S. Witsenhausen. Separation of estimation and control for discrete time systems. In Proceedings of the IEEE, volume 59, Nov. 1971.
26. Wing Shing Wong and Roger W. Brockett. Systems with finite communication bandwidth constraints. I. state estimation problems. IEEE Transactions on Automatic Control, 42(9):1294-1299, Sept. 1997.
27. Wing Shing Wong and Roger W. Brockett. Systems with finite communication bandwidth constraints. II. stabilization with limited information feedback. IEEE Transactions on Automatic Control, 44(5):1049-1053, May 1999.
28. Lin Xiao, Mikael Johansson, Haitham Hindi, Stephen Boyd, and Andrea Goldsmith. Joint optimization of communication rates and linear systems. IEEE Transactions on Automatic Control, 48(1):148-153, Jan. 2003.
29. David D. Yao, Shuzhong Zhang, and Xun Yu Zhou. A primaldual semidefinite programming approach to linear quadratic control. IEEE Transactions on Automatic Control, 46(9): 1442-1447, Sept. 2001.