ECT307 Control Systems

Course Outcomes: After the completion of the course the student will be able to
CO 1 Analyse electromechanical systems by mathematical modelling and derive their transfer functions
CO 2 Determine Transient and Steady State behaviour of systems using standard test signals
CO 3 Determine absolute stability and relative stability of a system
CO 4 Apply frequency domain techniques to assess the system performance and to design a control system with suitable compensation techniques
CO 5 Analyse system Controllability and Observability using state space representation

SYLLABUS
Module 1:
Introduction: Basic Components of a Control System, Open-Loop Control Systems and Closed-Loop Control Systems, Examples of control system
Feedback and its effects: Types of Feedback Control Systems, Linear versus Nonlinear Control Systems, Time-Invariant versus Time-Varying Systems.
Mathematical modelling of control systems: Electrical Systems and Mechanical systems.
Transfer Function from Block Diagrams and Signal Flow Graphs: impulse response and its relation with transfer function of linear systems. Block diagram representation and reduction methods, Signal flow graph and Mason’s gain formula.

Module 2:
Time Domain Analysis of Control Systems: Introduction- Standard Test signals, Time response specifications.
Time response of first and second order systems to unit step input and ramp inputs, time domain specifications.
Steady state error and static error coefficients.
Frequency domain analysis: Frequency domain specifications, correlation between time and frequency responses.

Module 3:
Stability of linear control systems: Concept of BIBO stability, absolute stability, Routh Hurwitz Criterion, Effect of P, PI & PID controllers.
Root Locus Techniques: Introduction, properties and its construction, Application to system stability studies. Illustration of the effect of addition of a zero and a pole.

Module 4:
Nyquist stability criterion: Fundamentals and analysis Relative stability: gain margin and phase margin. Stability analysis with Bode plot.
Design of Compensators: Need of compensators, design of lag and lead compensators using Bode plots.

Module 5:
State Variable Analysis of Linear Dynamic Systems: State variables, state equations, state variable representation of electrical and mechanical systems, dynamic equations, merits for higher order differential equations and solution.
Transfer function from State Variable Representation, Solutions of the state equations, state transition matrix
Concept of controllability and observability and techniques to test them – Kalman’s Test.

Text Books
1. Farid Golnaraghi, Benjamin C. Kuo, Automatic Control Systems, 9/e, Wiley India.
2. I.J. Nagarath, M.Gopal: Control Systems Engineering (5th-Edition) ––New Age International Pub. Co., 2007.
3. Ogata K., Discrete-time Control Systems, 2/e, Pearson Education.

Reference Books
1. I.J. Nagarath, M.Gopal: Scilab Text Companion for Control Systems Engineering (3rd-Edition) ––New Age International Pub. Co., 2007.
2. Norman S. Nise, Control System Engineering, 5/e, Wiley India.
3. M. Gopal, Digital Control and State Variable Method, 4/e, McGraw Hill Education India, 2012.
4. Ogata K., Modern Control Engineering, Prentice Hall of India, 4/e, Pearson Education,2002.
5. Richard C Dorf and Robert H. Bishop, Modern Control Systems, 9/e, Pearson Education,2001.