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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 />

no need to do bilinear transformation<br />

Jury’s Stability Criterion<br />

The elements of rows 3 through (2n − 3) are given by the<br />

following determinants:<br />

b k =<br />

c k =<br />

d k =<br />

q 0 =<br />

∣ a ∣<br />

0 a n−k ∣∣∣<br />

, k = 0, 1, 2, . . . , n − 1. (9)<br />

a n a k ∣ b 0 b n−1−k ∣∣∣<br />

∣<br />

, k = 0, 1, 2, . . . , n − 2. (10)<br />

b n−1 b k ∣ c 0 c n−2−k ∣∣∣<br />

∣<br />

, k = 0, 1, 2, . . . , n − 3. (11)<br />

c n−2 c k ∣ p ∣ 0 p 3 ∣∣∣ , q<br />

p 3 p 2 =<br />

0<br />

∣ p ∣<br />

0 p 1 ∣∣∣<br />

(12)<br />

p 3 p 2<br />

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

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