2000 Gp (s) (s + 20)(s+ 100) The gain-compensated system operates with a damping ratio of 0.8. Determine the location of the closed-loop poles and the value of G.(s) = K that results in pole locations associated with the provided specifications. Also determine the steady-state error to a unit step input. R(s) + E(s) |V(s) C(s) G(s) G(s) Figure 1. Unity-feedback block diagram.

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2000
Gp(s)
(s + 20)(s + 100)
The gain-compensated system operates with a damping ratio of 0.8. Determine the location of
the closed-loop poles and the value of G.(s) = K that results in pole locations associated with
the provided specifications. Also determine the steady-state error to a unit step input.
R(s)
E(s)
|V(s)
C(s)
G(s) GS)
Figure 1. Unity-feedback block diagram.
3.
Design a Pl controller to improve the steady-state error. The system should operate with
a damping ratio of 0.8 (Use the Gain compensator from problem 2 as a starting point). Compute
the value of gain Kpi for the PI system and state the transfer function for the controller in the
form G.(s) = Kp(s + a)/s. NOTE: Let a = |Smallest pole|/10.
Transcribed Image Text:2000 Gp(s) (s + 20)(s + 100) The gain-compensated system operates with a damping ratio of 0.8. Determine the location of the closed-loop poles and the value of G.(s) = K that results in pole locations associated with the provided specifications. Also determine the steady-state error to a unit step input. R(s) E(s) |V(s) C(s) G(s) GS) Figure 1. Unity-feedback block diagram. 3. Design a Pl controller to improve the steady-state error. The system should operate with a damping ratio of 0.8 (Use the Gain compensator from problem 2 as a starting point). Compute the value of gain Kpi for the PI system and state the transfer function for the controller in the form G.(s) = Kp(s + a)/s. NOTE: Let a = |Smallest pole|/10.
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