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Unformatted text preview: s 5 +8 s 3 –16 s , place these coefficients in the s 5 row, and continue. Investigate sign changes from the s 5 row to the s row to determine the stability of the 6 th order even polynomial. Since there are three sign changes and the roots of an even polynomial are symmetric about the origin, three poles are in the right s–plane and three poles are in the left s– plane. To determine the location of the other pole, investigate sign changes from the s 6 row to the s 7 row. Since there is one sign change, the remaining pole is in the right s–plane. Therefore, there are four poles in the right s–plane and three poles in the left s–plane. The Matlab code for computing the closed–loop pole locations is roots([1 –2 –1 2 4 –8 –4 8]) The closed–loop poles are located at –1, 1, 2, –1 ± j , and 1 ± j . 2...
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- Spring '11
- Characteristic polynomial, Complex number, Zürich Hauptbahnhof, Zürich Stadelhofen