Question

A negative feedback control system with forward transfer function G(s) = 2/(s\textsuperscript{2}+s+1) and feedback transfer function H(s) = 1 (unity feedback) is subjected to a step input of magnitude 3. A PID Controller Gc(s) is added in the forward path. a) Develop a Simulink model to model this system (1.5 marks, ULO4) b) Tune the PID controller gains so that the system has zero steady-state error and maximum overshoot of less than 10% Final Value. Show the tuning parameters of the P,I,D,N gains and the graphs of Input, Output, Controller Output. (2.5 marks, ULO3) c) How does the closed-loop system with PID controller in this question improve the steady-state and transient performance the open-loop system described in Question 2? Discuss. (1 mark, ULO3)

          A negative feedback control system with forward transfer function G(s) = 2/(s\textsuperscript{2}+s+1) and feedback transfer function H(s) = 1
(unity feedback) is subjected to a step input of magnitude 3. A PID Controller Gc(s) is added in the forward path.
a) Develop a Simulink model to model this system
(1.5 marks, ULO4)
b) Tune the PID controller gains so that the system has zero steady-state error and maximum overshoot of less than 10%
Final Value. Show the tuning parameters of the P,I,D,N gains and the graphs of Input, Output, Controller Output.
(2.5 marks, ULO3)
c) How does the closed-loop system with PID controller in this question improve the steady-state and transient performance the
open-loop system described in Question 2? Discuss.
(1 mark, ULO3)

A negative feedback control system with forward transfer function G(s) = 2/(s2+s+1) and feedback transfer function H(s) = 1
(unity feedback) is subjected to a step input of magnitude 3. A PID Controller Gc(s) is added in the forward path.
a) Develop a Simulink model to model this system
(1.5 marks, ULO4)
b) Tune the PID controller gains so that the system has zero steady-state error and maximum overshoot of less than 10%
Final Value. Show the tuning parameters of the P,I,D,N gains and the graphs of Input, Output, Controller Output.
(2.5 marks, ULO3)
c) How does the closed-loop system with PID controller in this question improve the steady-state and transient performance the
open-loop system described in Question 2? Discuss.
(1 mark, ULO3)

Added by Donna C.

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