ELE 809 Lecture 7: ELE809 ch7
16 Jul 2018
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Other usages (section 6. 4 cont. : routh-hurwitz method can be used for stability design of a system, example: find the gain of k for the following system that will cause the system to be stable: Other usages: solution: t(cid:523)s(cid:524) k, all elements of first column of the table should be positive: s3 18s2 77s k. No sign change occurs, the system is marginally stable. Other usages polynomials containing even factors: routh-hurwitz could also be used in limited applications to factor, example: factor the polynomial, solution: s4 3s3 30s2 30s 200. Form the even polynomial: p(s) s2 10. Divide the polynomial by the even polynomial: s4 3s3 30s2. 30s 200 (s2 10)(s2 3s 20) (s j3. 1623)(s j3. 1623)(s 1. 5 j4. 213)(s 1. 5 j4. 213) K (s 10)(s2 4s 5: find the range of k for stability, find the frequency of oscillation when the system is marginally stable. In order to determine the stability of a system, routh-hurwitz could be used.
