Higher Order s-to-z Mapping Functions and Their Application in Digitizing Continuous-Time Filters

Proceedings of the IEEE

Volumn 79, Issue 11, 1991, Pages 1661-1674

  Schneider, Alan M ^a   Kaneshige, John Tadashi ^a,b   Groutage, F Dale ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LOCKHEED MARTIN SPACE SYSTEMS COMPANY   (United States)

^c David Taylor Research Center Detachment Puget Sound   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, DIGITAL - THEORY; ELECTRIC FILTERS, DIGITAL - THEORY; SIGNAL FILTERING AND PREDICTION; SYSTEM STABILITY;

CONTINUOUS TIME FILTERS; DIGITIZING; DISCRETE TIME FILTERS; MAPPING FUNCTIONS;

MATHEMATICAL TECHNIQUES;

EID: 0026260435     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/5.118990     Document Type: Article

References (17)

1. B. C. Kuo, Digital Control Systems. New York: Holt, RineHart, and Winston, 1980, p.315.
2. F. D. Groutage, L. E. Volfson, and A. M. Schneider, “S-plane to Z-plane mapping using a simultaneous equation algorithm based on the bilinear transformation,” IEEE Trans. Automat. Contr., Vol. AC-32, pp. 635-637, July 1987.
3. F. D. Groutage, L. E. Volfson, and A. M. Schneider, “S-plane to Z-plane mapping: The general case,” IEEE Trans. Automat. Contr., Vol. 33, pp. 1087-1088, Nov. 1988.
4. J. T. Kaneshige, “Higher order S-plane to Z-plane mapping functions and their application in digitizing continuous-time filters,” M.S. thesis, Dep. of Applied Mechanics and Engineering Sciences, Univ. of California at San Diego, June 1990.
5. J. L. Melsa and D. G. Schultz, Linear Control Systems. New York: McGraw-Hill, 1969, pp. 41-63.
6. T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems. New York, NY: Springer-Verlag, 1989, pp. 90-101.
7. C. William Gear, Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs, NJ: Prentice-Hall, 1971, p. 106.
8. K. Ogata, Discrete-Time Control Systems. Engelwood Cliffs, NJ: Prentice-Hall Inc., 1987, pp. 217–218, 234-235,483-485.
9. K. E. Atkinson, An Introduction to Numerical Analysis. New York: Wiley, 1989, ch. 6.
10. J. F. Martin, Alan M. Schneider, and N. Ty Smith, “Multiple-model adaptive control of Blood pressure using sodium nitroprusside,” IEEE Trans. Biomed. Eng., Vol. BME-34, Aug. 1987.
11. L. Volfson, “Pattern recognition and classification and its applications to pre-processing arterial pressure waveform signals and image processing problems,” Ph.D. dissertation, Dep. of Applied Mechanics and Engineering Sciences, Univ. of California at San Diego, Sept. 1990.
12. G. F. Franklin, J. David Powell, and Michael L. Workman, Digital Control of Dynamic Systems. Reading, MA: Addison-Wesley, 2nd ed. 1990, pp. 147-149.
13. C.H. Wang, M.-Y. Lin, and Ching-Cheng Teng, “On the nature of the Boxer-Thaler and Madwed integrators and their application in digitizing a continuous-time system,” IEEE Trans. Automat. Contr., Vol. 35, Oct. 1990.
14. J. R. Johnson, Introduction to Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
15. A. Antoniou, Digital Filters: Analysis and Design. New York: McGraw-Hill, 1979.
16. R. D. Strum and D. E. Kirk, First Principles of Discrete Systems and Digital Signal Processing. Reading, MA: Addison-Wesley, 1989.
17. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.