Question

Download Solution PDF

For a unity feedback control system, the forward path transfer function is given by 

The steady-state error of the system for the input  is

This question was previously asked in
ESE Electrical 2016 Paper 1: Official Paper
Attempt in App
View all UPSC IES Papers >
  1. 0
  2. ∞
  3. 20t2
  4. 30t2

Answer (Detailed Solution Below)

Option 2 : ∞
Free Tests
View all Free tests >
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

KP = position error constant = 

Kv = velocity error constant = 

Ka = acceleration error constant = 

Steady state error for different inputs is given by

Input

Type -0

Type - 1

Type -2

Unit step

0

0

Unit ramp

∞

0

Unit parabolic

∞

∞

 

From the above table, it is clear that for type – 1 system, a system shows zero steady-state error for step-input, finite steady-state error for Ramp-input and  steady-state error for parabolic-input.

Calculation:

Input = 

It is a parabolic input.

The error coefficient for parabolic input is acceleration error constant.

Steady state error,

Download Solution PDF
Latest UPSC IES Updates

Last updated on Jul 2, 2025

-> ESE Mains 2025 exam date has been released. As per the schedule, UPSC IES Mains exam 2025 will be conducted on August 10. 

-> UPSC ESE result 2025 has been released. Candidates can download the ESE prelims result PDF from here.

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

Exams Tests Super Practice

More Steady State Error Questions

Q1. For a system with the given open loop transfer function, the steady state error when the input f (t) = 1 + 2t applied is ..... Open loop transfer function G (s) H (s) = \(\frac{100(s+2)}{s(s+3)(s+4)}\) 
Q2.For a feedback control system of type 2, the steady state error for a ramp input is: 
Q3.Steady state error is the value of error signal when:
Q4.A closed loop system is shown in the figure where k > 0 and α > 0. The steady state error due to a ramp input (R(s) = α/s2) is given by 
Q5.The steady state error of a stable ‘type 1’ unity feedback system for a unit step function is equal to:
Q6.The steady-state error for the type 0 unity feedback stable control system for unit step signal is equal to
Q7.A unity feedback system has a forward path transfer function G(s) = \(\frac{10(1+4\text{s})}{\text{s}^{2}(1+\text{s})}\). If the system is subjected to an input r(t) = 1 + t + \(\frac{\text{t}^{2}}{2}\), the steady state error of the system will be
Q8.What is the other name for the unit impulse function?
Q9.The steady-state error due to the ramp input for a type two system is equal to-
Q10.The velocity error constant of a system is measured when the input to the system is a-

More Time Response Analysis Questions

Q1.Which of the following statements is 'FALSE' for a second order system with step input? 
Q2.In system modelling using transfer function, roots of the characteristic equation are 
Q3.For a second order system with denominator \(s^{2}+2 \delta w_{n} s+w_{n}^{2} ; w_{n}^{2}>0\) the roots are complex conjugates when
Q4.For a second order system given by the following equation, damping coefficient \(\zeta\) is \(\frac{d^{2} y}{d t^{2}}+2 \frac{d y}{d t}+4 y=4 x\)
Q5. For a system with the given open loop transfer function, the steady state error when the input f (t) = 1 + 2t applied is ..... Open loop transfer function G (s) H (s) = \(\frac{100(s+2)}{s(s+3)(s+4)}\) 
Q6.The characteristic equation of a closed loop system is . Then the system is
Q7.A unity feedback system is characterized by the open-loop transfer function \(G(s)=\frac{100}{s(5 s+10)(2 s+10)}\) The steady-state errors for unit-step and unit-ramp inputs are :
Q8.In the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Q9.For a feedback control system of type 2, the steady state error for a ramp input is: 
Q10.In cascade form realisation of FIR system, _____ adders and _____ multipliers are required for (M - 1)th order FIR transfer function. 
Suggested Test Series
View All >
UPSC ESE (IES) Civil Mock Test Series
116 Total Tests with 1 Free Tests
Start Free Test
UPSC ESE (IES) Electrical Mock Test Series
68 Total Tests with   0 Free Tests
Start Free Test

UPSC IES Important Links

ResultHall TicketEligibilitySalary and Job ProfileExam PatternECE Syllabus

More Control Systems Questions

Q1.The transfer function of the given signal flow graph is
Q2.In an open loop transfer function the highest power of 's' in the denominator when written as a standard polynomial in 's' is
Q3.Which of the following statements is 'FALSE' for a second order system with step input? 
Q4.In system modelling using transfer function, roots of the characteristic equation are 
Q5.In the Bode plot of an open loop transfer function with 8 poles and 5 zeros, slope of the Bode plot for very high frequencies
Q6.For a second order system with denominator \(s^{2}+2 \delta w_{n} s+w_{n}^{2} ; w_{n}^{2}>0\) the roots are complex conjugates when
Q7. Match List 1 and List 2 List 1  Location of roots of characteristic equation List 2  System characteristics A (-1 + j), (-1 - j) D मामूली तौर पर स्थिर B (-2 + j), (-2 - j), (2), (-2j) E अस्थिर C (-j), (j), (1), (-1) F स्थिर
Q8.For a second order system given by the following equation, damping coefficient \(\zeta\) is \(\frac{d^{2} y}{d t^{2}}+2 \frac{d y}{d t}+4 y=4 x\)
Q9.Which of the following statement is always 'TRUE' with respect to root locus analysis?
Q10. For a system with the given open loop transfer function, the steady state error when the input f (t) = 1 + 2t applied is ..... Open loop transfer function G (s) H (s) = \(\frac{100(s+2)}{s(s+3)(s+4)}\) 
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti star lucky teen patti teen patti circle teen patti apk all teen patti