Control System , Given transfer function, T (s) = αs + β / s^2 + (α + 2)s + β (i) Pick a pair of values for parameters α and β such that the closed-loop system is stable (ii) Pick a pair of values for parameters α and β such that the closed-loop step response exhibits zero steady-state error. (iii) Pick a pair of values for parameters α and β such that the closed-loop step response is underdamped, exhibiting a settling time of 4/5 seconds and a peak time of π/7 seconds.

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Control System ,

Given transfer function,

T (s) = αs + β / s^2 + (α + 2)s + β

(i) Pick a pair of values for parameters α and β such that the closed-loop system is stable

(ii) Pick a pair of values for parameters α and β such that the closed-loop step response exhibits
zero steady-state error.

(iii) Pick a pair of values for parameters α and β such that the closed-loop step response is
underdamped, exhibiting a settling time of 4/5 seconds and a peak time of π/7 seconds.

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