Optimal Finite Precision Implementation of a State-Estimate Feedback Controller

IEEE Transactions on Circuits and Systems

Volumn 37, Issue 12, 1990, Pages 1487-1498

  Li, Gang ^a   Gevers, Michel ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - TRANSFER FUNCTIONS; NOISE, SPURIOUS SIGNAL;

CLOSED-LOOP TRANSFER FUNCTIONS; FEEDBACK CONTROL;

CONTROL SYSTEMS;

EID: 0025626691     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.101269     Document Type: Article

References (14)

1. C. T. Mullis and R. A. Roberts, “Filter structures which minimize roundoff noise in fixed-point digital filters,” in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, pp. 505–508, 1976.
2. S. Y. Hwang, “Minimum uncorrected unit noise in state-space digital filtering,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 273–281, Aug. 1977.
3. V. Tavsanoglu and L. Thiele, “Optimal design of state-space digital filters by simultaneous minimization of sensitivity and roundoff noise,” IEEE Trans. Circuits Syst., vol. CAS-31, pp. 884–888, Oct. 1984.
4. W. J. Lutz and S. Louis Hakimi, “Design of multi-input multi-output systems with minimum sensitivity,” IEEE Trans. Circuits Syst., vol. 35, pp. 1114–1122, Sept. 1988.
5. R. H. Middleton and G. C. Goodwin, Digital Control and Estimation: A Unified Approach. Englewood Cliffs, NJ: Prentice Hall, 1990.
6. R. H. Middleton and G. C. Goodwin, “Improved finite word length characteristics in digital control using delta operators,” IEEE Trans. on Automat. Contr., vol. 31, pp. 1015–1021, Nov. 1986.
7. L. Thiele, “Design of sensitivity and roundoff noise optimal state-space discrete systems,” Int. J. Circuit Theory Appl., vol. 12, pp. 39–46, 1984.
8. Darrell Williamson, “Roundoff noise minimization and pole-zero sensitivity in fixed-point digital filters using residue feedback,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1210–1220, Oct. 1986.
9. G. C. Goodwin, personal communication, 1989.
10. A. J. Laub, “Computations of balancing transformations,” in Proc. 1980 JACC, vol. 1, San Francisco, CA, 1980.
11. L. Thiele, “On the sensitivity of linear state-space systems,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 502–510, May 1986.
12. G. Li and M. Gevers, “Comparative study of finite wordlength effects in shift and delta operator parametrizations,” to be published.
13. L. B. Jackson, “Roundoff noise bounds derived from coefficient sensitivities for digital filters,” IEEE Trans. Circuits Syst., vol. CAS-23, 481–485, Aug. 1976.
14. M. Kawamata and T. Higuchi, “A unified approach to the optimal synthesis of fixed-point state-space digital filters,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 911–920, 1985.