od Luck! Thank You. Open loop transfer function of a second order unity feedback system given by G(s). A controller, indicated by G:(s), is added to the system to build a closed loop ontrol system. The transfer function of the closed loop system becomes: G.(s)G(s) CL (s) = 1+ G.(s)G(s) 1 ) In case G(s) and Gc (s) = kp+, what would be the steady state error of the s2+s+1 losed loop system in response for a unity step input when kp = 5 and ki = 0.2? ) When a ramp input is applied (r(t) = 0.1*t) with k, = 5 and k; = 0.2, determine the output rror of the system. In order to have zero steady-state error when k; = 0 and kp = 5 with unity step input, design feedforward controller with L(s).

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Open loop transfer function of a second order unity feedback system
is given by G(s). A controller, indicated by G-(s), is added to the system to build a closed loop
control system. The transfer function of the closed loop system becomes:
G.(s)G(s)
Gcı (s)
%3D
1+ G.(s)G(s)
1
and Gc (s) = k,+, what would be the steady state error of the
a) In case G(s) =
closed loop system in response for a unity step input when kp = 5 and k; = 0.2?
b) When a ramp input is applied (r(t) = 0.1*t) with k, = 5 and k; = 0.2, determine the output
error of the system.
c) In order to have zero steady-state error when k; =
a feedforward controller with L(s).
%3D
s2+s+1
and k, = 5 with unity step input, design
Transcribed Image Text:Thank you for answering this question. Please you specify each step and formula you used as soon as possible. Good Luck! Thank You. Open loop transfer function of a second order unity feedback system is given by G(s). A controller, indicated by G-(s), is added to the system to build a closed loop control system. The transfer function of the closed loop system becomes: G.(s)G(s) Gcı (s) %3D 1+ G.(s)G(s) 1 and Gc (s) = k,+, what would be the steady state error of the a) In case G(s) = closed loop system in response for a unity step input when kp = 5 and k; = 0.2? b) When a ramp input is applied (r(t) = 0.1*t) with k, = 5 and k; = 0.2, determine the output error of the system. c) In order to have zero steady-state error when k; = a feedforward controller with L(s). %3D s2+s+1 and k, = 5 with unity step input, design
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