Rashtrasant Tukadoji Maharaj Nagpur University, Maharashtra, Mechanical Engineering Semester 6, Control Systems Engineering Syllabus

BEME602T: CONTROL SYSTEMS ENGINEERING

UNIT – I [ 8 Hrs.]
Control System controls: Study of Control System components such as hydraulic actuators,
Servomechanism D.C. and A.C. motor, liquid level control, Automobile Power Steering Control,
Speed Control, Position control of Robotic Manipulator etc. Study and Analysis of performance
characteristics, the concept of various types of system like machine tools, Prime movers, system
generators, etc.
Modeling of Mechanical System: Basic Elements of Control System – Open loop and Closed loop
systems – Differential equation – Laplace Transform –Transfer function, Modeling of physical system

like Translational, rotational mechanical systems, Electric systems, Electronic system and Electro-
mechanical system. Concept of transfer function & its determination for physical systems.

UNIT – II [ 8 Hrs.]
Transfer Function system Representation through Block Diagram and Signal Flow Graph: Block
Diagram representation, Reduction Techniques for single and multiple input/output, Conversion
of Block Diagram into Signal Flow Graph, Conversion of algebraic equation into Block Diagram
and Signal Flow Graph. Transfer function through Block Diagram Simplification using Masons
Gain Formula.
UNIT – III [ 8 Hrs.]
System Response & Time Domain Response Analysis: First and second order systems response
to impulse, ramp and sinusoidal inputs, properties of unit step response of second order system,
systems with velocity lag, Steady state errors and Error constants.
Signals: Step, Ramp, Impulse, Parabolic and Periodic signals with their mathematical
representation and characteristics.
Mode of Controls: Basic control actions and Industrial controllers, Introduction to P, PI and PID
controllers their characteristics, representation and applications. Classification of industrial
automatic controllers, control actions, proportional controllers, obtaining derivative and integral
control action, effects of integral and derivative control action on system performance.
Controller Mechanisms: Pneumatic, hydraulic and electric controllers, general principles for
generating various control actions.

UNIT – IV [ 8 Hrs.]
Control system analysis: Concept and types of stability, Routh-Hurwitz Criterion and its
application for determination of stability, limitations.
Root locus plot: Simple transfer functions transient response from root locus. Concept of stability,
necessary condition for stability, Root locus concept, construction of Root loci.
.
UNIT – V [ 8 Hrs.]
Frequency Domain analysis - Correlation between time and frequency responses of a second
order System.
Bode & Polar plot: Determination of Gain Margin, Phase Margin and their Stability from Bode
and Polar plots. Inverse Bode Plot, Transportation lag, System Identification from Bode plot.
UNIT – VI [ 8 Hrs.]
State space representation of Continuous Time systems: State equations, Transfer function from
State Variable Representation – Solutions of the state equations, Concepts of Controllability and
Observability, State space representation for Discrete time systems.
Stability criterion: Introduction to control system design lag lead compensation, Feed Back
Compensation and Pole -Zero placement.

TEXT BOOKS:

1. Control System Engineering, J. Nagrath and M.Gopal, New Age International
Publishers, 5th Edition, 2007
2. Control System – Principles and Design, M. Gopal, Tata McGraw Hill, 2nd
Edition, 2002.
3. Control Systems Engineering, S. K. Bhattacharya, Pearson.
4. Control System Engineering, Baxi and Goyal, Technical Publication, Pune.
5. Control Systems, Dhanesh N. Manik, Cengage Learning.
6. Control Systems -Theory & Application, Smarajit Ghosh, Pearson.
7. Control Systems, Anand Kumar, PHI.

REFERENCE BOOKS:

1. Automatic Control Systems, Benjamin. C. Kuo, Prentice Hall of India, 7th Edition,
1995.
2. Digital Control and State Variable Methods, M. Gopal, 2nd Edition, TMH, 2007.
3. Feedback and Control Systems, Stubberud, Schaum’s Outline Series, Tata
McGraw-Hill, 2007.
4. Linear Control System Analysis and Design, John J. D’azzo & Constantine H.
Houpis, Tata McGrow-Hill, Inc., 1995.
5. Modern Control Systems, Richard C. Dorf & Robert H. Bishop, Addison –
Wesley, 1999.
6. Modern Control Engineering, K. Ogata, Prentice Hall of India.
7. Control System Engineering Using MATLAB, S.N. Sinanandam, S.N. Deepa,
Vikas Publication.
8. Digital Control System, V.I. George, C.P. Kurian, Cengage Learning.
9. Control Systems - Problem and Solutions, K.R. Varmah, McGraw Hill Education.