Question

Q. 17 ) Laplace transform of Unit step input is
a) 1
b) 0
c) 1 / S
d) S
Q. 18) Laplace Transform of Impulse function is ____
a) 0
b) 0.5
c) 1
d) 1.5
Q.19) In Second Order Control System , if 0< ξ < 1 then system is _____
a) Underdamped System
b) Critically damped
c) Overdamped
d) Extraordinary damped
Q. 20)In Closed Loop Control System , The input signal to a controller is :
a) Sensed signal
b) Error signal
c) Desired variable value
d) Signal of fixed amplitude not dependent on desired value
Q. 21) If a pole is located at s = - 5 in left-hand plane (LHP), how will it be represented in Laplace domain?
a) 1/ s + 5
b) 1/ s – 5
c) s/ s + 5
d) s/ s – 5
Q. 22 ) By equating the denominator of transfer function to zero, which among the following will be obtained?
a. Poles
b. Zeros
c. Both a and b
d. None of the above
Q. 23 ) Standard test signals in control system are:
a) Impulse signal
b) Ramp signal
c) Step signal
d) All of the mentioned
Q. 24) The Velocity Error Coefficient is calculated by
Kv = Lim s - 0 [sG(s) H(s]
Kv =Lim s - 0 [G(s) H(s]
Kv = Lim s - 0 [sH(s]
Kv = s + 1
Q. 25) In case of Second Order System , Identify the Given formula
Captionless Image
Rise Time
Peak Time
Delay Time
Setteling Time
Q. 26 ) This is the formula for ______
Captionless Image
a) Maximum Peak Overshoot
b) Delat Time
c) Natural Frequency
d) Damped Frequency
Q.27 ) Find the poles of given Equation
Captionless Image
s1 = 0 , s2 = 2 , s3 = 5 , s4= 4 , s5= 3
s1 = 0 , s2 = -2 , s3 = - 5
s1 = 0 , s2 = -2 , s3 = - 5 , s4= - 4 , s5= - 3
s1 = - 5 , s2= - 4 , s3= - 3
Q. 28 ) In Second Order Control System , if ξ = 1 then system is _____
a) Underdamped System
b) Critically damped
c) Overdamped
d) Extraordinary damped
Q.29 ) Closed Loop Conrol System is said to stable if __________
a) All the Ploes Should be in the right side of S- Plane
b) All the Ploes Should be in the Left side of S- Plane
c) two or more ploes in the Right side of S- Plane
d) At least one pole should be in rightt side of plane.
Q. 30 ) In Second Order Control System , if ξ > 1 then system is _____
a) Underdamped System
b) Critically damped
c) Overdamped
d) Extraordinary damped
Q. 31) In Rouths Criterion , Special case 1 describes
b) Second element of row is zero
a) first element of row is zeo
c) when all the elements of row are 1
d)When the first element of row is 1
Q. 32) According to Rouths Criterion , Control system is Stable when,
a) All the coefficient of First column of array are having same sign
b) When All the coefficient of First row are of same value
c) When All the coefficient of First column are Infinity.
d) When all the coefficient of First Row is having same sign.​

Answer 1

Answer:

sorry the number of questions are15 please ask one by one

Answer 2

Given below are the solutions for the required questions.

Explanation:

• (17) For a unit step input we get the input function as, $f(t)=1$
• Hence, from laplace transform we have, $F(s)=\int\limits^ {\infty} _0 {e^{-st}f (t)} \, dx\ \ \ \ \ \ \ \ \ \ \ \ \ \ ->F(s)=\int\limits^ {\infty} _0 {e^{-st}} \, dx\\->F(s)=\frac{1}{s}$  ---->ANS(c)
• (18)For impulse function input we have, $f(t)=\delta(t) = (1, t=0\ \ \ 0, everywhere\ else\ )$
• Hence, its laplace transform is ,    
• $F(s)=\int\limits^\infty_0{e^{-st}\delta(t)} \, dx\\ ->F(s)=1$         ---->ANS(c)
• (19)Here $\xi$ is the damping ratio and is used to analyze pole locations for a second order control system. For $0<\xi<1$ the system is said to be underdamped.  ---->ANS(a)
• (20) In a closed loop control system the input to the controller is the desired variable. ---->ANS(c)
• (21) for given pole $s=-5$ we get $s+5=0$ Since it is a pole it is in denominator ->$F(s)=\frac{1}{s+5}$ ---->ANS(a)
• (22) The Numerator when equated to zeros gives zeros of the function. The denominator when equated to zero gives the poles of the function. ----->ANS(a)
• (23)Impulse, unit step, ramp all of these signals are used as test signals. ---->ANS(d)
• (24) the static velocity error coefficient is given by, $K_v= \lim_{0 \to s} sG(s)$    --->ANS
• (28) for the damping ratio to be equal to one that is $\xi=1$ the system is critically damped. ---->ANS(b)
• (29)  A closed loop system is stable only if it has all of its poles on left side of s-plan. ---->ANS(b)
• (30) for the damping ratio to be greater than one that is $\xi>1$ the system is Over- damped. ---->ANS(c)
• (31)Routh criteria has two special cases. Case1: fist element of a row is zero, Case2: entire row is zero. --->ANS(a)
• (32) Routh's criteria says that a system is stable only if the signs of all first column values are same. --->ANS(a)