Purpose This course is aimed at to provide a comprehensive treatment of the analysis and design of
control systems so as to empower the students with knowledge which is sufficient to help them
understand and analyse the practical problems in industry. Instructional
Objectives At the end of this course, the students should :
1. be familiar with the basic concepts of control systems.
2. Be able to formulate the equations of linear electrical and non-electrical systems and establish
analogies between them.
3. Derive characteristics equ. of a given system.
4. Be able to perform time-Domain and frequency domain analysis of systems.
5. Be able to determine stability of any given system.
6. Understand the importance of compensating networks and their design.
7. Be familiar with necessary control components.
Contents
1. Introduction Concepts Plant, Systems Servomechanism, regulating systems, disturbances, Open
loop control system, closed loop systems, linear and non-linear systems, time variant & invariant,
continuous and sampled data control systems, Block diagrams, some illustrative examples.
2. Modelling Formulation of equation of Linear electrical, mechanical, thermal Pneugmatic and
hydraulic system, electrical, Mechanical analogies. Use of Laplace transform, Transfer function,
concepts of state variable modelling. Block diagram representation signal flow graphs and associated
algebra, characteristics equation.
3. Time Domain Analysis Typical test - input signal, Transient response of the first and second
order systems. Time domain specifications, Dominant closed loop poles of higher
order systems. Steady state error and coefficients. Pole-zero location and stability. Routh-
Hurwitz Criterion.
4. Root Locus Technique: The extreme points of the root loci for positive gain. Asympotes to the
loci, breakway points, intersection with imaginary axis, location of roots with given gain & sketch of
the root locus plot.
5. Frequency Domain Analysis: Closed loop frequency response, bodeplots, stability and loop
transfer function. Frequency response specification relative stability, relation between time and
frequency response for second order systems. A and N-circles, Log. Magnitude versus phases angle
plot. Plot Nyquist criterion.
6. Compensation: Necessity of compensation series and parallel compensations, Compensating
network, application of lag and lead compensation.
7. Control Components: Error detectors- potentiometers and synchronous, servo motor A.C. and
D.C. technogenerators, Magnetic amplifiers.