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Deadbeat sampled system direct synthesis

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1 Author(s)
Smith, Otto J.M. ; University of California, Berkeley, CA, USA

A direct synthesis method is presented for obtaining a discrete compensator to produce a finite-settling-time transient in response to a prescribed input with no intersample transient terms after the finite settling time. The method is applicable to a single constant-frequency sampler in a feedback system with any type of hold for any polynomial input. The method uses a fictitious sampler at the output with sample time T/m to scan the intersample times and to obtain criteria for deadbeat transients. The criteria are derived from root locus considerations but are applied to Laplace transforms containing both functions of s and functions of z so that the only operations are analytic ones.

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Automatic Control, IEEE Transactions on  (Volume:8 ,  Issue: 3 )