Question

Control System

\text { A control system as shown in Figure } 5 \text { has a transfer function of } G(s)=\frac{1}{s(s-\gamma)}, \text { where } \gamma \text { is } 6

Let G (s) = K . By sketching the root-locus, show that the closed-loop system is always unstable.

(s)=K((v+1) s+\alpha) \text { where } v: 6 \text { and } \alpha: 36

number. Draw the root-locus (Note: you need to show all the necessary steps in drawing theroot-locus) and determine whether that the closed-loop system can be stabilized, if so,determine the range of K for the closed-loop system to remain stable.

Verified

Question 45498

Control System

2. For the system shown below, find the output c(t) if the input r(t) is a unitstep. For full credit, transfer function should be computed correctly, C(s)should be computed correctly, and c(t) should be computed correctly.Partial credit may be earned.

Question 45497

Control System

1. Reduce the block diagram shown below to a single block,T(s) = C(s)/R(s). For full credit, all loops should be correctly reduced.Partial credit may be earned for correctly reducing some loops.

Question 44984

Control System

a) Knowing the format of state space representation:
\dot{x}=A x+B u
y=C x+D u
If a second order system is modeled in a state space representation, what will be the dimensions of Aand B matrix?
b) Consider a system modeled via the third order differential equation:
\dddot{x}+3 \ddot{x}+4 \dot{x}+x=5 \dot{u}+u
Where, x(t) is displacement, u(t) is force. Develop a state space representation for the system. The desired output is all state variables.

Question 44983

Control System

Q1) Given the following block diagram system.
a) Reduce the block diagram to a single transfer function.
b) Plot the root locus of the system. Explain the plot.

Question 44964

Control System

O Which of the following statements is incorrect?
i. Root-locus is symmetric about x-axis.
ii. Root-locus starts at open-loop poles and ends at open-loop zeros.
iii. Root-locus graph tracks the closed-loop poles as the gain varies.
iv. None.

Question 44963

Control System

) If the open-loop transfer function is given by
\frac{K(s+2)}{s^{4}+2 s+2}
how many open-loop zeros are at infinity?
i. 1ii. 3iii. 4iv. 0

Question 44962

Control System

) If KG(s)H(s) represents the open-loop transfer function of a system, then thegain K and the closed-loop poles of the system satisfy which equation?
i. KG(s)H(s) =1
ii. KG(s)H(s) = -1
ii. KG(s)Н (s) — 0
iv. KG(s) = H(s)

Question 44961

Control System

If the static error constant K.100, then the stead-state errors for step and ramp inputs are
\text { i. } e_{\text {rtep }}(\infty)=0, e_{\text {ramp }}(\infty)=0
\text { ii. } e_{\text {step }}(\infty)=0, e_{\text {ramp }}(\infty)=\infty
\text { iii. } e_{\text {step }}(\infty)=\infty, e_{\text {ramp }}(\infty)=0
\text { iv. } e_{\text {step }}(\infty)=\infty, e_{\text {ramp }}(\infty)=\infty

Question 44960

Control System

) In the unity feedback system in Figure 1, at least how many poles of G(s) mustbe at the origin for the steady-state error due to the ramp input is zero?
i. 1ii. 2iii. 3iv. 4

Question 44959

Control System

(5 pts.) Sketch the root locus (rough sketch) for the following problems, and for each problem find the range of K where the system is stable.