1. Write whether True or False.

Use of negative feedback control has the advantage of reducing sensitivity, improving transient response and minimizing the effects of disturbance signals.

Inertia of a servomotor is reduced by reducing the length and diameter of its rotor.

Ramp response of a first order system has steady state error equal to the time constant of the system.

If one pair of roots of characteristic equation lie on the imaginary axis of s-plane, the impulse response will be sustained oscillation.

Two cascaded systems may be combined by multiplying independent Laplace transforms of transfer functions of each system.

Routh-Hurwitz analysis may inform about the roots on the imaginary axis of s-plane.

In Bode plot, an error of 3 dB occurs at the corner frequency while plotting the transfer function 1).

Explain the difference between open-loop and closed-loop systems with suitable examples.

Consider the following block diagram

<img src='./qimages/13266-2b.jpg'>

Draw a signal flow graph and determine the closed-loop transfer function of the system shown in Figure 1.

What are the advantages and disadvantages of frequency response analysis?

A negative feedback control system has forward path transfer function and feedback path gain as 5. Determine the sensitivity of the closed-loop transfer function with respect to the open-loop transfer function at frequency 1 rad/sec.

4. What is steady state response? What happens to steady state error of a

Type-0 system,

Type-I system, and

Type-2 system,

for a unit ramp input?

Define stability of a system. Where should the roots lie on s-plane for the system to be

stable,

unstable and

marginal stable?

Use Routh stability analysis to determine the range of values of k for the system s^4 13s^2+ 36s k to be stable.

Discuss the role of controllers in process industry.

Given 5s+2/s(5s Determine the initial and final values of

7. Write short notes on any two of the following:

AC Servomotor

PID Controllers

Parabolic and Impulse Functions