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Multirate sampling technique in digital control systems simulation

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

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.

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