Control System
Course Objectives:
To present the basic concepts on analysis and design of control system and to apply these concepts to typical physical processes.
 Control System Background(2 hours)
 History of control system and its importance
 Control system: Characteristics and Basic features
 Types of control system and their comparison
 Component Modeling(6 hours)
 Differential equation and transfer function notations
 Modeling of Mechanical Components: Mass, spring and damper
 Modeling of Electrical components: Inductance, Capacitance, Resistance, DC and AC motor, Transducers and operational amplifiers
 Electric circuit analogies (ForceVoltage analogy and ForceCurrent analogy)
 Linearized approximations of nonlinear characteristics
 System Transfer Function and Responses (6 hours)
 Combinations of components to physical systems
 Block diagram algebra and system reduction
 Signal flow graphs
 Time response analysis:
 Types of test signals (Impulse, Step, Ramp, Parabolic)
 Time response analysis of first order system
 Time response analysis of second order system
 Transient response characteristics
 Effect of feedback on steady state gain, Bandwidth, Error magnitude and System dynamics
 Stability(4 hours)
 Introduction of stability and causes of instability
 Characteristic equation, Root location and stability
 Setting loop gain using RouthHurwitz criterion
 RH stability criterion
 Relative stability from complex plane axis shifting
 Root Locus Technique(6 hours)
 Introduction of root locus
 Relationship between Root loci and Time response of systems
 Rules for manual calculation and Construction of Root locus
 Analysis and design using Root locus concept
 Stability analysis using RH criteria
 Frequency Response Techniques(6 hours)
 Frequency domain characterization of the system
 Relationship between real and complex frequency response
 Bode Plots: Magnitude and phase
 Effects of gain and time constant on Bode diagram
 Stability from Bode diagram (gain margin and phase margin)
 Polar Plot and Nyquist Plot
 Stability analysis from Polar and Nyquist plot
 Performance Specifications and Compensation Design(10 hours)
 Time domain specification
 Rise time, Peak time, Delay time, settling time and maximum overshoot
 Static error coefficient
 Frequency domain specification
 Gain margin and phase margin
 Application of Root locus and frequency response on control system design
 Lead, Lag cascade compensation design by Root locus method.
 Lead, Lag cascade compensation design by Bode plot method.
 PID controllers
 State Space Analysis(4 hours)
 Definition of state space
 State space representation of electrical and mechanical system
 Conversion from state space to a transfer function.
 Conversion from transfer function to state space.
 Statetransition matrix.
Practical:
 To study open loop and closed mode for d.c motor and familiarization with different components in D.C motor control module.
 To determine gain and transfer function of different control system components.
 To study effects of feedback on gain and time constant for closed loop speed control system and position control system.
 To determine frequency response of first order and second order system and to get transfer function.
 Simulation of closed loop speed control system and position control system and verification
References:
 Ogata, K., “Modern Control Engineering”, Prentice Hall, Latest Edition
 Gopal. M., “Control Systems: Principles and Design”, Tata McGrawHill, Latest Edition.
 Kuo, B.C., “Automatic Control System”, Prentice Hall, sixth edition.
 Nagrath & Gopal, “Modern Control Engineering”, New Ages International, Latest Edition
Evaluation Scheme:
The question will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
Chapter 
Hours 
Marks Distribution* 
1 
2 
4 
2 
6 
12 
3 
6 
10 
4 
4 
8 
5 
6 
12 
6 
6 
10 
7 
10 
16 
8 
4 
8 
Total 
44 
80 
*Note: There may be minor deviation in the marks distribution.
