Q4 (a) The open-loop transfer function of a unity feedback control system is represented by: K G(s)H(s) = s(1+ 0.4s)(1 + 0.25s) Use the Routh-Hurwitz stability criterion to find the range of K values for which the system is stable.

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Q4 (a) The open-loop transfer function of a unity feedback control system is
represented by:
K
G(s)H(s) =
s(1+ 0.4s)(1 + 0.25s)
Use the Routh-Hurwitz stability criterion to find the range of K values for
which the system is stable.
(b) Consider the following characteristic equation of a control system:
s5 + 2s* + 3s3 + 6s² + 10s + 15 = 0
(i).
Analyse the condition for stability with proper justification.
(ii).
Determine the number of poles on the right half s-plane.
Transcribed Image Text:Q4 (a) The open-loop transfer function of a unity feedback control system is represented by: K G(s)H(s) = s(1+ 0.4s)(1 + 0.25s) Use the Routh-Hurwitz stability criterion to find the range of K values for which the system is stable. (b) Consider the following characteristic equation of a control system: s5 + 2s* + 3s3 + 6s² + 10s + 15 = 0 (i). Analyse the condition for stability with proper justification. (ii). Determine the number of poles on the right half s-plane.
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