# Control Systems Questions and Answers – Time Response of Second Order Systems – IV

«
»

This set of Control Systems test focuses on “Time Response of Second Order Systems – IV”.

1. The standard second order system to a unit step input shows the 0.36 as the first peak undershoot, hence its second overshoot is:
a) 0.135
b) 0.216
c) 0.1296
d) 0.116
View Answer

Answer: b
Explanation: Overshoot and undershoot are calculated from the formula of peak time as odd peaks denote the overshoot and even denotes the under shoot.

2. Consider the input with the inputs 4 u(t) and the impulse response 5 +7 , the time constants of the output are,
a) 0.2, 0.33 and 0.5
b) 4.5 and 7
c) 0.2, 0.4 and 0.7
d) 0.2, 0.1 and 0.25
View Answer

Answer: a
Explanation: Output response so calculated is the inverse Laplace transform of the input and impulse response and hence converting the resultant form in the time constant form time constant can be directly determined.

3. In a second order feedback control system natural frequency and damping
a) Can be designed by changing the gain of the individual system
b) Cannot be designed by changing the gain of the individual system
c) Are independent on the type of input excitation
d) None of the mentioned
View Answer

Answer: a
Explanation: Natural frequency and damping of second order feedback control systems can be designed by changing the gain of the individual system.
Note: Join free Sanfoundry classes at Telegram or Youtube
advertisement
advertisement

4. Undamped natural frequency of a second order system has the following influence on the response due to various excitations:
a) Increase in speed of response and decrease sensitivity
b) Decrease in speed of response and increase sensitivity
c) Has no influence in the dynamic response
d) Increase oscillatory behavior
View Answer

Answer: a
Explanation: Undamped natural frequency is the frequency that has suffered damping and gets affected by the increase in the speed of response and decrease in sensitivity.

5. Normalized response of a dynamic system refers to:
a) Characteristic feature of a response due to specific excitation irrespective of its amplitude
b) Response of dynamic system divided by its maximum value
c) Response of dynamic system divided by a standard value
d) None of the mentioned
View Answer

Answer: a
Explanation: Normalization refers to the desired to the reference value and normalized response of the dynamic system refers to the characteristic feature of a response due to specific excitation irrespective of its amplitude.

6. The transfer function of a system is G(s) = 100/(s+1) (s+100). For a unit step input to the system the approximate settling time for 2% criterion is:
a) 100 sec
b) 4 sec
c) 1 sec
d) 0.01 sec
View Answer

Answer: b
Explanation: Comparing the equation with the characteristic equation and then finding the value of G and w and calculating the value of settling time as 4 sec from 4/Gw.

7. The characteristic equation of a control system is s(s2+ 6s+13)+K=0. The value of k such that the characteristic equation has a pair of complex roots with real part -1 will be :
a) 10
b) 20
c) 30
d) 40
View Answer

Answer: b
Explanation: The characteristic equation is considered and the values of G and w are calculated and further the value of k can be calculated.
advertisement

8. Normalized difference between the time response peak and steady state output is ______________
a) Maximum peak overshoot
b) Damping factor
c) Minimum peak overshoot
d) Undershoot
View Answer

Answer: a
Explanation: Maximum peak overshoot is the normalized difference between the time response peak and steady state output.

9. Rise time, Peak time, maximum peak overshoot, settling time, and steady state error are mutually dependent.
a) True
b) False
View Answer

Answer: a
Explanation: Rise time, peak time, settling time and maximum peak overshoot are the prime factors of the time domain analysis and they must be specified in a consistent manner but they are mutually dependent.
advertisement

10. Control system are normally designed to be:
a) Overdamped
b) Under damped
c) Un damped
d) Critically damped
View Answer

Answer: b
Explanation: Practically there are some non-linearity present in the system as friction but in mathematical models these are considered by considering high gain and lower damping. Due to this reason generally control system, are normally designed to be under damped.

Sanfoundry Global Education & Learning Series – Control Systems.
To practice all areas of Control Systems for tests, here is complete set of 1000+ Multiple Choice Questions and Answers.

advertisement
advertisement
Subscribe to our Newsletters (Subject-wise). Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

Youtube | Telegram | LinkedIn | Instagram | Facebook | Twitter | Pinterest
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

Subscribe to his free Masterclasses at Youtube & discussions at Telegram SanfoundryClasses.