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Lecture notes - School Of Electrical & Electronic Engineering - USM

Lecture notes - School Of Electrical & Electronic Engineering - USM

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Stability Concept<br />

Bilinear Transformation<br />

Routh-Hurwitz Criterion<br />

Jury’s Stability test<br />

Jury’s Stability Criterion<br />

no need to do bilinear transformation<br />

Jury’s Stability Criterion<br />

The stability criterion by the Jury’s Stability Test: For the<br />

polynomial P(z) to have no roots on and outside the unit circle<br />

in the z-plane (i.e. for the digital or discrete data system to be<br />

stable), the following conditions must be satisfied:<br />

a) P(z)| z=1 = P(1) > 0 (13)<br />

{ > 0 for n even<br />

b) P(z)| z=−1 = P(−1)<br />

< 0 for n odd<br />

(14)<br />

nasiruddin@eng.usm.my EEE 354 : STABILITY ANALYSIS TECHNIQUES

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