Control systems (EC-4005)
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RGPV notes CBGS Bachelor of engineering
OBJECTIVES
1. To provide sound knowledge in the basic concepts of linear control theory and design of
control system.
2. To understand the methods of representation of systems and getting their transfer
function models.
3. To provide adequate knowledge in the time response of systems and steady state error
analysis.
4. To give basic knowledge is obtaining the open loop and closed–loop frequency responses
of systems.
5. To understand the concept of stability of control system and
methods of stability analysis.
6. To study the various ways of designing compensation for a control system.
Syllabus
UNIT 1:
Introduction to Control system
Terminology and classification of control system, examples of control system, Laplace
Transform and its application, mathematical modeling of mechanical and electrical systems,
differential equations, transfer function, block diagram representation and reduction, signal flow
graph techniques.
Feedback characteristics of control systems
Open loop and closed loop systems, effect of feedback on control system and on external
disturbances, linearization effect of feedback, regenerative feedback.
UNIT 2:
Time response analysis
Standard test signals, time response of 1st order system, time response of 2nd order system,
steady-state errors and error constants, effects of additions of poles and zeros to open loop and
closed loop system.
Time domain stability analysis
Concept of stability of linear systems, effects of location of poles on stability, necessary
conditions for stability, Routh-Hurwitz stability criteria, relative stability analysis, Root Locus
concept, guidelines for sketching Root-Locus.
UNIT 3:
Frequency response analysis
Correlation between time and frequency response, Polar plots, Bode Plots, all-pass and
minimum-phase systems, log-magnitude versus Phase-Plots, closed-loop frequency response.
Frequency domain stability analysis
Nyquist stability criterion, assessment of relative stability using Nyquist plot and Bode plot
(phase margin, gain margin and stability).
UNIT 4:
Approaches to system design
Design problem, types of compensation techniques, design of phase-lag, phase lead and phase
lead-lag compensators in time and frequency domain, proportional, derivative, integral and PID
compensation.
UNIT 5:
State space analysis
State space representation of systems, block diagram for state equation, transfer function
decomposition, solution of state equation, transfer matrix, relationship between state equation
and transfer function, controllability and observability.
NOTES
- Unit 1
- Unit 2
- Unit 3
- Unit 4
- Unit 5
Course Outcomes:
Students who are successful in this class will demonstrate at least the abilities to:
1. Demonstrate an understanding of the fundamentals of (feedback) control systems.
2. Determine and use models of physical systems in forms suitable for use in the analysis
and design of control systems.
3. Express and solve system equations in state-variable form (state variable models).
4. Determine the time and frequency-domain responses of first and second-order systems to
step and sinusoidal (and to some extent, ramp) inputs.
5. Determine the (absolute) stability of a closed-loop control system
6. Apply root-locus technique to analyze and design control system.
Text books –
1. I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International
Publishers, 2003.
2. Benjamin C. Kuo, Automatic Control systems, Wiley India Pvt. Ltd, 9th edition.
3. http://www.nptelvideos.in/2012/11/control-engineering.html
REFERENCES
1. A. Anand Kumar, “ Control Systems” PHI, New Delhi, 2007
2. Norman S. Nise, Control System Engineering, Wiley India Pvt. Ltd.
3. R. Anandnatarajan, P. Ramesh Babu, “Control System Engineering” Scitech Publication
(India) Pvt. Ltd. 2014
4. Distefano (schaum series) Control Systems TMH
5. M. Gopal, ‘Control Systems, Principles and Design’, Tata McGraw Hill, New Delhi,
2002.
6. Manik, Control System, Cengage Learnings.
7. Stefani shahian- Design of feedback control system oxford university press.
8. Salivahanan Control Systems engg. Pearson Education, New Delhi
9. K. Ogata, ‘Modern Control Engineering’, Pearson Education, New Delhi
10. B.S. Manke linear control system, khanna publishers
