A feedback control system has the nominal characteristic equation q{s) = s3 + a2s 2 + i5

Chapter 0, Problem 15

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A feedback control system has the nominal characteristic equation q{s) = s3 + a2s 2 + i5 + o0 = 53 + 352 + 25 + 3 = 0. The process varies such that 2 < a2 s 4, 1 < t < 3, 1 < a0 - 5. Considering all possible combinations of coefficients a2, ah and a0 in the given intervals, the system is: a. Stable for all combinations of coefficients. b. Unstable for some combinations of coefficients. c. Marginally stable for some combinations of coefficients. d. Unstable for all combinations of coefficients.

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