# Control Systems Syllabus for JNTU Kakinada

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY

KAKINADA

II Year B.Tech EEE II-Sem T P C

4+1* 0 4

CONTROL SYSTEMS

Objective :

In this course it is aimed to introduce to the students the principles and applications of control systems in

every day life. The basic concepts of block diagram reduction, time domain analysis solutions to time

invariant systems and also deals with the different aspects of stability analysis of systems in frequency

domain and time domain.

UNIT – I INTRODUCTION

Concepts of Control Systems- Open Loop and closed loop control systems and their differences- Different

examples of control systems- Classification of control systems, Feed-Back Characteristics, Effects of

feedback.

Mathematical models – Differential equations, Impulse Response and transfer functions – Translational

and Rotational mechanical systems

UNIT II TRANSFER FUNCTION REPRESENTATION

Transfer Function of DC Servo motor – AC Servo motor- Synchro transmitter and Receiver, Block diagram

representation of systems considering electrical systems as examples -Block diagram algebra –

Representation by Signal flow graph – Reduction using Mason’s gain formula.

UNIT-III TIME RESPONSE ANALYSIS

Standard test signals – Time response of first order systems – Characteristic Equation of Feedback control

systems, Transient response of second order systems – Time domain specifications – Steady state

response – Steady state errors and error constants – Effects of proportional derivative, proportional

integral systems.

UNIT – IV STABILITY ANALYSIS IN S-DOMAIN

The concept of stability – Routh’s stability criterion – qualitative stability and conditional stability –

limitations of Routh’s stability

Root Locus Technique:

The root locus concept – construction of root loci-effects of adding poles and zeros to G(s)H(s) on the root

loci.

UNIT – V FREQUENCY RESPONSE ANALYSIS

Introduction, Frequency domain specifications-Bode diagrams-Determination of Frequency domain

specifications and transfer function from the Bode Diagram-Phase margin and Gain margin-Stability

Analysis from Bode Plots.

UNIT – VI STABILITY ANALYSIS IN FREQUENCY DOMAIN

Polar Plots-Nyquist Plots-Stability Analysis.

UNIT – VII CLASSICAL CONTROL DESIGN TECHNIQUES

Compensation techniques – Lag, Lead, Lead-Lag Controllers design in frequency Domain, PID

Controllers.

UNIT – VIII State Space Analysis of Continuous Systems

Concepts of state, state variables and state model, derivation of state models from block diagrams,

Diagonalization- Solving the Time invariant state Equations- State Transition Matrix and it’s Properties –

Concepts of Controllability and Observability

TEXT BOOKS:

1. Automatic Control Systems 8th edition– by B. C. Kuo 2003– John wiley and son’s.,

2. Control Systems Engineering – by I. J. Nagrath and M. Gopal, New Age International

(P) Limited, Publishers, 2nd edition.

REFERENCE BOOKS:

1. Modern Control Engineering – by Katsuhiko Ogata – Prentice Hall of India Pvt. Ltd., 3rd edition,

1998.

2. Control Systems by N.K.Sinha, New Age International (P) Limited Publishers, 3rd Edition, 1998.

3. Control Systems Engg. by NISE 3rd Edition – John wiley

4. “Modelling & Control Of Dynamic Systems” by Narciso F. Macia George J. Thaler, Thomson

Publishers.