Lecture notes - School Of Electrical & Electronic Engineering - USM
Lecture notes - School Of Electrical & Electronic Engineering - USM
Lecture notes - School Of Electrical & Electronic Engineering - USM
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Root Locus<br />
Bode Plot<br />
Example on Root Locus<br />
Rules of sketching ROOT LOCI<br />
overview<br />
general rules of Root Loci sketching<br />
The intersection of the root loci with the unit circle |z| = 1<br />
can be found by using the extended R-H or Jury’s stability<br />
test.<br />
The magnitude criterion enables us to determine the value<br />
of the gain K at any specific root location on the locus. The<br />
gain K can be found as follows:<br />
K =<br />
(z + p 1 )(z + p 2 ) . . . (z + p n )<br />
∣ (z + z 1 )(z + z 2 ) . . . (z + z m ) ∣ (8)<br />
Given the value of the gain, the closed loop pole for that<br />
gain can also be found by using the same formula.<br />
nasiruddin@eng.usm.my EEE 354 : STABILITY ANALYSIS TECHNIQUES