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Multirate sampling technique in digital control systems simulation

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3 Author(s)
R. Aracil ; Escuela Tecnica Superior de Ingenieros Ind., Univ. Politecnica de Madrid, Spain ; A. Jiménez Avello ; V. Feliu

Digital regulators for continuous plants are designed today by means of conventional z-transfer function methods. With these z-transfer functions the value of the system output y(t) can be learned only at instants spaced T seconds apart, where T is the sampling period. A technique is proposed where the value of y(t) can be learned at instants spaced T/n seconds apart, where n is any integer. This technique is based on multirate sampling. First a method to calculate the output multirate sampled sequence is described. Then an efficient algorithm to calculate the multirate sampling discrete transfer function from the normal discrete transfer function is proposed.

Published in:

IEEE Transactions on Systems, Man, and Cybernetics  (Volume:SMC-14 ,  Issue: 5 )