Multivariable Nyquist theory
- 1 May 1977
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 25 (5), 657-675
- https://doi.org/10.1080/00207177708922261
Abstract
It is shown that a multivariable digital filter is stable if and only if A(z1, z2…,zn)≠0 when | z1 1| = | z2|=… = |zn| = 1 and the Nyquist plot for the single-variable function A(z, z, … z) does not encircle zero. Here A(z1, z2… zn) is the denominator polynomial of the relatively prime rational transfer function of the digital filter.Keywords
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