All-integrator approach to linear SISO control system analysis using Block Pulse Functions (BPF)

Journal of the Franklin Institute

Volumn 334, Issue 2, 1997, Pages 319-335

  Deb, Anish ^a   Sarkar, Gautam ^a   Bhattacharjee, Manabrata ^a   Sen, Sunit K ^a  

^a UNIVERSITY OF CALCUTTA   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); INTEGRATION; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; TRANSFER FUNCTIONS;

BLOCK PULSE FUNCTIONS; SINGLE INPUT SINGLE OUTPUT CONTROL SYSTEMS;

CONTROL SYSTEM ANALYSIS;

EID: 0031104545     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0016-0032(96)00054-3     Document Type: Article

References (17)

1. Alfred Haar, "Zur theorie der orthogonalen funktionensysteme", Math. Annalen., Vol. 69, pp. 331-371, 1910.
2. Anish Deb, Gautam Sarkar and Sunit K. Sen, "Block pulse functions, the most fundamental of all piecewise constant basis functions", Int. J. Syst. Sci., Vol. 25, pp. 351-363, 1994.
3. J. H. Jiang and W. Schaufelberger, "Block Pulse Functions and Their Applications in Control Systems", LNCIS-179, Springer-Verlag, Berlin, 1992.
4. Anish Deb, Gautam Sarkar and Sunit K. Sen, "Linearly pulse-width modulated block pulse functions and their application to linear SISO feedback control system identification", IEEE Proc. Control Theory and Applications, Vol. 142, pp. 44-50, 1995.
5. Anish Deb, G. Sarkar and S. K. Sen, "A new set of pulse-width modulated generalized block pulse functions (PWM-GBPF) and their application to cross-/auto-correlation of time varying functions", Int. J. Syst. Sci., Vol. 26, pp. 65-89, 1995.
6. C. F. Chen, Y. T. Tsay and T. T. Wu, "Walsh operational matrices for fractional calculus and their application to distributed systems", J. Franklin Inst., Vol. 303, pp. 267-284, 1977.
7. G. P. Rao, "Piecewise Constant Orthogonal Functions and their Application to Systems and Control, LNCIS-55, Springer-Verlag, Berlin, 1983.
8. Anish Deb and Asit K. Datta, "Analysis of pulse-fed power electronic circuits using Walsh function", Int. J. Electronics, Vol. 62, pp. 449-459, 1987.
9. Anish Deb and D. W. Fountain, "A note on oscillations in Walsh domain analysis of first order systems", IEEE Trans. on Circuits & Systems, Vol. 38, pp. 945-948, 1991.
10. K. B. Datta, "Matrix and Linear Algebra", Prentice-Hall of India Pvt. Ltd, New Delhi, 1991.
11. Wang Chi-Hsu, "On the generalization of block pulse operational matrices for fractional and operational calculus", J. Franklin Inst., Vol. 315, pp. 91-102, 1983.
12. G. P. Rao and T. Srinivasan, "Analysis and synthesis of dynamic systems containing time delays via block-pulse functions", IEEE Proc., Vol. 125, pp. 1064-1068, 1978.
13. Anish Deb, Gautam Sarkar, Sunit K. Sen and Manabrata Bhattacharjee, "On improvement of the integral operational matrix in block pulse function analysis", J. Franklin Inst., Vol. 332B, pp. 469-478, 1995.
14. W. L. Chen and C. Y. Chung, "New integral operational matrix in block pulse series analysis", Int. J. Syst. Sci., Vol. 18, pp. 403-408, 1987.
15. A. Constantinides, "Applied Numerical Methods with Personal Computers", McGraw-Hill, New York, NY, 1987.
16. K. E. Atkinson, "An Introduction to Numerical Analysis", Wiley, New York, NY, 1978.
17. H. M. Antia, "Numerical Methods for Scientists and Engineers", Tata-McGraw-Hill, New Delhi, 1991.