(a) Construct the root-locus diagram for the unity feedback control system for which the G (s)H(s) has poles at 0, -2, - 5, then fill in the following table: Type of response Range (value) of K Over damped Critically damped Under damped Undamped The range of K for stable closed loop is: (b) For the system in (a), plot the unit step time response for critically damped and under damped cases. (c) What would be the root-locus diagram of the system in (a) when: There is a zero at -1. What would be the range of K for stable closed loop?

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Discussion:
(a) Construct the root-locus diagram for the unity feedback control system for which
the G(s)H(s) has poles at 0, -2, - 5, then fill in the following table:
Type of response
Range (value) of K
Over damped
Critically damped
Under damped
Undamped
The range of K for stable closed loop is:
(b) For the system in (a), plot the unit step time response for critically danmped and
under damped cases.
(c) What would be the root-locus diagram of the system in (a) when:
There is a zero at -1. What would be the range of K for stable closed loop?
There are two zeros at -1 and -4. What would be the range of K for stable
closed loop and the maximum overshoot?
There are two zeros at -4 and -6. What would be the range of K for stable
closed loop and the maximum overshoot?
Transcribed Image Text:Discussion: (a) Construct the root-locus diagram for the unity feedback control system for which the G(s)H(s) has poles at 0, -2, - 5, then fill in the following table: Type of response Range (value) of K Over damped Critically damped Under damped Undamped The range of K for stable closed loop is: (b) For the system in (a), plot the unit step time response for critically danmped and under damped cases. (c) What would be the root-locus diagram of the system in (a) when: There is a zero at -1. What would be the range of K for stable closed loop? There are two zeros at -1 and -4. What would be the range of K for stable closed loop and the maximum overshoot? There are two zeros at -4 and -6. What would be the range of K for stable closed loop and the maximum overshoot?
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