Fundamental design tradeoffs in filtering, prediction, and smoothing

IEEE Transactions on Automatic Control

Volumn 42, Issue 9, 1997, Pages 1240-1251

  Goodwin, Graham C ^a,b   Seron, María Marta ^c  

^a IEEE

^b UNIVERSITY OF NEWCASTLE   (Australia)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bode limits; Linear filtering; Performance limits

Indexed keywords

BODE LIMITS; BOUNDED ERROR ESTIMATORS; PERFORMANCE LIMITS;

CONSTRAINT THEORY; FREQUENCY RESPONSE; MATRIX ALGEBRA; POLES AND ZEROS; SIGNAL FILTERING AND PREDICTION; TIME DOMAIN ANALYSIS; TRANSFER FUNCTIONS;

SENSITIVITY ANALYSIS;

EID: 0031233550     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.623085     Document Type: Article

References (28)

1. B. Anderson and J. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
2. T. Kailath, "An innovations approach to least-squares estimation - I: Linear filtering in additive white noise," IEEE Trans. Automat. Contr., vol. AC-13, pp. 647-655, June 1968.
3. ∞ norm sense," in Proc. 28th IEEE Conf. Decision Contr., Tampa, FL, 1989.
4. ∞ setting," IEEE Trans. Automat. Contr., vol. 36, pp. 152-166, 1991.
5. ∞ error bound," Syst. Contr. Lett., vol. 12, pp. 9-16, 1989.
6. ∞ filtering for continuous time varying uncertain systems with deterministic input signals," IEEE Trans. Signal Processing, vol. 43, pp. 709-719, 1995.
7. R. Griffin and A. Sage, "Large and small scale sensitivity analysis of optimum estimation algorithms," IEEE Trans. Automat. Contr., vol. AC-13, Apr. 1968.
8. J. Spall and J. Garner, "Parameter identification for state-space models with nuisance parameters," IEEE Trans. Aerospace Electronic Syst., vol. 26, 1990.
9. J. Freudenberg and D. Looze, "Right half plane poles and zeros and design trade-offs in feedback systems," IEEE Trans. Automat. Contr., vol. 30, pp. 555-565, 1985.
10. G. Goodwin, D. Mayne, and J. Shim, "Trade-offs in linear filter design," Automatica, vol. 31, pp. 1367-1376, 1995.
11. M. Vidyasagar, Control System Synthesis - A Factorization Approach. Cambridge, MA: MIT Press, 1985.
12. H. Bode, Network Analysis and Feedback Amplifier Design. New York: Van Nostrand, 1945.
13. ∞-optimal sensitivity theory for SISO feedback systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 9-16, Jan. 1984.
14. S. O'Young and B. Francis, "Sensitivity trade-offs for multivariable plants," IEEE Trans. Automat. Contr., vol. AC-30, pp. 625-632, 1985.
15. R. Middleton, "Trade-offs in linear control systems design," Automatica, vol. 27, pp. 281-292, 1991.
16. J. Chen, "Sensitivity integral relations and design trade-offs in linear multivariable feedback systems," IEEE Trans. Automat. Contr., vol. 40, pp. 1700-1716, 1995.
17. G. Gómez and G. Goodwin, "Integral constraints on sensitivity vectors for multivariable linear systems," Automatica, vol. 32, no. 4, pp. 499-518, 1996.
18. M. Seron, J. Braslavsky, and G. Goodwin, Fundamental Limitations in Filtering and Control. New York: Springer-Verlag, 1997.
19. G. Goodwin and R. Middleton, "The class of all stable unbiased estimators," Syst. Contr. Lett., vol. 13, pp. 161-163, 1989.
20. R. Middleton and G. Goodwin, Digital Control and Estimation - A Unified Approach. Englewood Cliffs, NJ: Prentice-Hall, 1990.
21. X. Ding, L. Guo, and P. Frank, "Parametrization of linear observers and its application to observer design," IEEE Trans. Automat. Contr., vol. 39, pp. 1648-1652, Aug. 1994.
22. H. Kwakernaak, "Minimax frequency domain performance and robustness optimization of linear feedback systems," IEEE Trans. Automat. Contr., vol. AC-30, pp. 994-1004, 1985.
23. J. Braslavsky, M. Seron, G. Goodwin, and R. Grainger, "Trade-offs in multivariable filter design with applications to fault detection," in Proc. 35th IEEE Conf. Decision Contr., Kobe, Japan, 1996.
24. R. Kalman and R. Bucy, "New results in linear filtering and prediction theory," Trans. ASME, J. Basic Eng., vol. 83, ser. D, pp. 95-107, 1961.
25. L. De Branges, Hilbert Spaces of Entire Functions. Englewood Cliffs, N.J.: Prentice-Hall, 1968.
26. T. Kailath and P. Frost, "An innovations approach to least-squares estimation - II: Linear smoothing in additive white noise," IEEE Trans. Automat. Contr., vol. AC-13, pp. 655-660, June 1968.
27. B. Anderson and H. Doan, "Design procedures for stable suboptimal fixed-lag smoothers," IEEE Trans. Automat. Contr., vol. 22, pp. 949-952, June 1977.
28. J. Braslavsky, R. Middleton, and J. Freudenberg, "Frequency response of generalized sampled-data hold functions," in Proc. 34th IEEE Conf. Decision Contr., New Orleans, LA, 1995.