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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 />

bilinear transformation I<br />

Definition<br />

Application of Bilinear Transformation<br />

The characteristic equation in w -domain then becomes:<br />

P(w) = a 0<br />

[ w + 1<br />

w − 1<br />

. . . +a n−1<br />

[ w + 1<br />

w − 1<br />

] n [ w + 1<br />

+ a 1<br />

w − 1<br />

] n−1 [ ] w + 1 n−2<br />

+ a 2 +<br />

w − 1<br />

]<br />

+ a n = 0 (2)<br />

P(w) = b 0 w n + b 1 w n−1 + · · · + b n−1 w + b n = 0 (3)<br />

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

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