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Unformatted text preview: Stability therefore, there are three poles in the right s–plane. Since there are five poles, the other two poles are in the left s–plane. An alternate method is to examine the stability of the characteristic polynomial of the reciprocal roots. The characteristic polynomial for the reciprocal roots is 5 4 3 2 2 3 4 4 1 1 s s s s s+++ . The Routh table is 5 4 3 2 1 2 4 1 3 4 1 1.333 2.333 1.251 1 3.398 1 s s s s s s. There are three sign changes; therefore, there are three poles in the right s–plane and two poles in the left s–plane. As expected, this method yields the same result as the previous method. The Matlab code for computing the closed–loop pole locations is roots([1 –1 4 –4 3 –2]) The closed–loop poles are located at 0.8423, 0.1309 ± 0.8600 j , and –0.0521 ± 1.771 j . 2...
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 Spring '11
 LANDERS
 Complex number

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