18EE61 Control Systems syllabus for EE

Introduction to Control Systems:

Introduction, classification of control systems.

Mathematical models of physical systems:

Modelling of mechanical system elements, electrical systems, Analogous systems, Transfer function, Single input single output systems, Procedure for deriving transfer functions, servomotors, synchros, gear trains.

Block Diagram:

Block diagram of a closed loop system, procedure for drawing block diagram and block diagram reduction to find transfer function.

Signal Flow Graphs:

Construction of signal flow graphs, basic properties of signal flow graph, signal flow graph algebra, construction of signal flow graph for control systems.

Time Domain Analysis:

Standard test signals, time response of first order systems, time response of second order systems, steady state errors and error constants, types of control systems.

Routh Stability Criterion:

BIBO stability, Necessary conditions for stability, Routh stability criterion, difficulties in formulation of Routh table, application of Routh stability criterion to linear feedback systems, relative stability analysis.

Root locus Technique:

Introduction, root locus concepts, construction of root loci, rules for the construction of root locus.

Frequency Response Analysis:

Co-relation between time and frequency response – 2nd order systems only.

Bode Plots:

Basic factors G(iw)/H(jw), General procedure for constructing bode plots, computation of gain margin and phase margin.

Nyquist plot:

Principle of argument, Nyquist stability criterion, assessment of relative stability using Nyquist criterion.

Design of Control Systems:

Introduction, Design with the PD Controller, Design with the PI Controller, Design with the PID Controller, Design with Phase-Lead Controller, Design with Phase - Lag Controller, Design with Lead-Lag Controller.

Course Outcomes:

At the end of the course the student will be able to:

• Analyze and model electrical and mechanical system using analogous.
• Formulate transfer functions using block diagram and signal flow graphs.
• Analyze the stability of control system, ability to determine transient and steady state time response.
• Illustrate the performance of a given system in time and frequency domains, stability analysis using Root locus and Bode plots.
• Discuss stability analysis using Nyquist plots, Design controller and compensator for a given specification.

Question paper pattern:

• The question paper will have ten questions.
• Each full question is for 20 marks.
• There will be 2 full questions (with a maximum of three sub questions in one full question) from each module.
• Each full question with sub questions will cover the contents under a module.
• Students will have to answer 5 full questions, selecting one full question from each module.

Text Book

1 Control Systems Anand Kumar PHI 2 ndEdition,2014

Reference Books

1 Automatic Control Systems Farid Golnaraghi, BenjaminC. Kuo Wiley 9 th Edition,2010

2 Control System Engineering NormanS. Nise Wiley 4 th Edition,2004

3 Modern Control Systems Richard C Dorfetal Pearson 11 th Edition,2008

4 Control Systems, Principles and Design M. Gopal McGawHill 4 th Edition,2012

5 Control Systems Engineering S. Salivahananet al Pearson 1 st Edition,2015