1. Consider a second order system which has the following transfer function H(s) 1 s² + 6s+ k where k ≥ 0 is a design parameter of the system. Find the values or range of values of k for which the system will have (i) undamped, (ii) underdamped, (iii) overdamped, and (iv) critically overdamped responses.
1. Consider a second order system which has the following transfer function H(s) 1 s² + 6s+ k where k ≥ 0 is a design parameter of the system. Find the values or range of values of k for which the system will have (i) undamped, (ii) underdamped, (iii) overdamped, and (iv) critically overdamped responses.
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Transcribed Image Text:1. Consider a second order system which has the following transfer function
H(s)
1
s² + 6s+ k
where k ≥ 0 is a design parameter of the system. Find the values or range of values of k
for which the system will have (i) undamped, (ii) underdamped, (iii) overdamped, and
(iv) critically overdamped responses.
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