The block diagram of a linear control system is shown in the Fig, where r(t) is the reference input and n(t) is the disturbance. 1. Find the steady-state VALUE of e(t) when n(t)= 0 and r(t)= tus(t). Find the conditions on the values of and K so that the solution is valid N (s) Rcs) E(s) std S controller + KCS+ 3) (s² -1) Process 9(5)

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The block diagram of a linear control system is shown in the Fig, where
r(t) is the reference input and n(t) is the disturbance.
1. Find the steady-state VALUE of e(t) when n(t)= 0 and r(t)= tus(t). Find
the conditions on the values of and K so that the solution is valid
N (s)
Rcs)
E(s)
sta
S
controller
+
+
KCS+3)
(s² -1)
Process
Use MATLAB:
2) Constrct the root loci for K>=0 with = 1. Analyze the result
3) Construct a Bode plot and analyze the phase margin and gian
margin
4) Construct the Nyquist Diagram and analyze the system stability
5) Show the system response to a unit step command for n(t0= 0 and
a unit step disturbance input for r(t)
7(5)
Transcribed Image Text:The block diagram of a linear control system is shown in the Fig, where r(t) is the reference input and n(t) is the disturbance. 1. Find the steady-state VALUE of e(t) when n(t)= 0 and r(t)= tus(t). Find the conditions on the values of and K so that the solution is valid N (s) Rcs) E(s) sta S controller + + KCS+3) (s² -1) Process Use MATLAB: 2) Constrct the root loci for K>=0 with = 1. Analyze the result 3) Construct a Bode plot and analyze the phase margin and gian margin 4) Construct the Nyquist Diagram and analyze the system stability 5) Show the system response to a unit step command for n(t0= 0 and a unit step disturbance input for r(t) 7(5)
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