JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY 
HYDERABAD 
II Year B.Tech. ECE. II-Sem T P C 
4+1* 0 4 
CONTROL SYSTEMS 

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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.