Control System-1 Past Year University Question Of Unit-3

Vision Institute of Technology, Kanpur

2010-11

1. Define the following
   (a)rise time (b)delay time           (c)peak overshoot          (d)steady state error             (e) time constant.       (f)Peak time
2. Discuss the effect of adding a zero of a system
3. Draw the block diagram of the standard form of a second order control system. Derive the relations for response to step unit {U(t)-1} for different values of the damping ratio.
4. Define the time response specification of a second order system for a unit ramp input. Derive these relations in terms of damping factor & W_n.
5. What is the steady state error ?. derive the expression for the step & ramp inputs in type-1 system, what will be it^s value?.
6. Explain what is damping ratio. Derive its expression.
   

   2012-13

7. Derive the formula for peak under shoot, rise time & peak time.
8. A unity feedback system is characterized by the open loop transfer function:
9. List the advantages and disadvantages of an open loop and closed loop system

2015-16

1. Mention the nature of transient response of second order control system for different types of damping ratios.
2. Discuss the time response of a first order control system subjected to unit ramp input. A certain unity feedback system is described by the following transfer function G(s)=  determine the state error coefficients and also determine the value of K to limit steady state error to 20 units due to input r(t)= 1+10t+20t²
3. Derive the time response of a second order system subjected to unit step input.
4. Derive the step response of a 1^st order system.

2016-17

1. What do you understand by type and order of system?
2. A unity feedback control system is characterized by open loop
   transfer function 
   determine the system gain K, so that the system will have a damping ratio of .5. for this value of K , find Rise Time, settling time, & Peak overshoot.
   

3. The open loop transfer function of a system is G(S)H(S)=k(S+1)/(S³+bS²+3S+1). Determine the value of K & b so that the system will oscillate at frequency of 2rad/sec by using R-H method.

2017-18

1. Obtain the response of unity feedback system whose open loop transfer function is G(S) = 4 / S(S+5) and When the input is unit step.
2. What do you mean by dominant pole & What is an impulse response?
3. What is steady state response?
4. Derive the expressions and draw the response of first order system for unit step input.
5. For a unity feedback control system the open loop transfer function G(S) = 10(S+2)/ S 2(S+1).Find (i) position, velocity and acceleration error constants. (ii)the steady state error when the input is R(S) , where R(S) =3/S –2/S2 +1/3S

6. A positional control system with velocity feedback is shown in fig. What is the response c(t) to the unit step input. Given that ζ =0.5.and also calculate rise time, peak time, Maximum overshoot and settling time.
7. A unity feedback system has an amplifier with gain Ka=10 and gain ratio G(S) = 1 / S (S+2) in the feed forward Path. A derivative feedback ,H(S)=SKo is introduced as a minor loop around G(S).Determine the derivative feedback constant ,Ko ,so that the system damping factor is 0.6

2018-19

1. Define damping ratio
2. What is an asymptote?
3. Find also the static error coefficients and the errors for unit step and unit ramp inputs.
4. Derive the time response of a second order system subjected to unit step input.
5. What is steady-state error?