Linear quadratic stochastic control of atomic hydrogen masers

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 46, Issue 3, 1999, Pages 517-522

  Koppang, Paul ^a   Leland, Robert ^b  

^a FYequency and Time Systems   (United States)

^b The Aerospace Engineering and Mechanics Department   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; FREQUENCIES; HYDROGEN; KALMAN FILTERING; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; STOCHASTIC CONTROL SYSTEMS; VECTORS;

ATOMIC HYDROGEN MASERS; DISCRETE FREQUENCY STEER; LINEAR QUADRATIC GAUSSIAN TECHNIQUE;

MASERS;

EID: 0032670565     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.764838     Document Type: Article

References (19)

1. I. S. Ahn and R. G. Brown, Assessing the validity of suboptimal 2-state clock models. in Proc. 18th Annu. Precise Time and Time Interval (PTTI) Appl. Planning Meeting, Dec. 2-4, 1986, Washington, DC, 1986, pp. 421-436.
2. D. W. Allan, ''Statistics of atomic frequency standards, Proc. IEEE, vol. 54, pp. 221-230, Feb. 1966.
3. M. Athans, ';The role and use of the stochastic linear quadratic Gaussian problem in control system design, IEEE Trans. Automat. Contr., Dec. 1971, pp. 529-552.
4. A. V. Balakrishnan, Kaiman Filter Theory, Optimization Software Inc., 1987.
5. J. A. Barnes, A. R. Chi, L. S. Cutler, D. J. Healy. D. B. Leeson, T. E. McGunigal, J. A. Müllen, W. L. Smith, R. L. Sydnor, R. Vessot. and G. M. R. Winkler, Characterization of frequency stability, IEEE Trans. Instrum. Meas., vol. IM-20, pp. 105-120, May 1971.
6. L. A. Breakiron, Timescale algorithms combining cesium clocks and hydrogen masers, in Proc. 23rd Annu. Precise Time and Time Interval (PTTI) Appl. Planning Meeting, Dec. 3-5, 1991, pp. 297-300.
7. R. G. Brown and P. Y. C. Hwang, Introduction to Random Signals and Applied Kaiman Filtering, 2nd ed., New York: Wiley, 1992.
8. D. W. Hanson, ''Fundamentals of two-way time transfers by satellite, in Proc. 43rd Annu. Symp. Freq. Contr., May 31June 2, 1989, Denver, CO, pp. 174-178.
9. G. Franklin, J. Powell, and M. Workman, Digital Control oj Dynamic Systems. Reading, MA: Addison-Wesley, 1994.
10. D. Kirchner, ''Two-way time transfer via communications satellites, Proc. IEEE, vol. 79, pp. 983-990, July 1991.
11. P. Koppang and R. Leland, Steering of frequency standards by the use of linear quadratic Gaussian control theory, in Proc. 27th Precise Time, and Time Interval (PTTI) Appl Planning Meeting, San Diego, CA, 1995, pp. 257-267.
12. W. Lewandowski and C. Thomas. GPS time transfer, Proc. IEEE, vol. 79, pp. 991-1000, July 1991.
13. M. Miranian and W. J. Klepczynski, Time transfer via GPS at USNO, Proc. ION GPS-91, Institute of Navigation. Washington, DC, Sept. 11-13, 1991, Albuquerque, NM, pp. 215-221.
14. K. Ogata, Discrete-Time Control Systems. Englewoocl Cliffs, NJ: Prentice Hall, 1987.
15. D. Percival, The U.S. Naval Observatory clock time scales, IEEE Trans. Instrum. Meas., vol. IM-27, no. 4, pp. c76-385, Dec. 1978.
16. J. Rutman and F. L. Walls, Characteristics of frequency stability in precision frequency sources, Proc. IEEE, vol. 79. pp. 952-960, July 1991.
17. S. Stein, Kaiman filter analysis of precision clocks with realtime parameter estimation, in Proc. 43rd Annu. Symp. Preq. Contr., May 31-.June 3, 1989, Denver, CO, pp. 1 74-l7£.
18. S. Stein and H. Filler, Kaiman filter analysis for real time applications of clocks and oscillators, in Proc. 42nd Ann\i. Symp. Preq. Contr., 1988, pp. 447-452.
19. A. Van Dierendonck, J. McGraw, and R. Brown, Relationship between Allan variances and Kaiman filter parameters, in Proc. 16th Precise Time and Time Interval Conference, 1984, pp. 273293.