WITH EFFECT FROM THE ACADEMIC YEAR 2012 - 2013
EE 306
LINEAR CONTROL SYSTEMS
(Common to IE & EEE)
Instruction 4 Periods per week
Duration of University Examination 3 Hours
University Examination 75 Marks
Sessional 25 Marks
UNIT-I
Open and Closed loop Systems, Continuous time and discrete time control systems. Control system components, Error sensing devices, Potentiometers. Synchros, AC-DC servo motors-Block diagram representation, Transfer function and impulse response, Signal flow graphs.
UNIT-II
Time Response: Types of Input, Transient response of second order system for step input. Time domain specifications - Types of system- static error coefficients, Error Series-Routh-Hurwitz criterion of stability. Root Locus Technique- Typical systems analyzed by root locus technique-Effect of location of roots on system response PID Controller.
UNIT-III
Frequency Response Plots: Bode Plots, Frequency domain specifications. : Mp, wp for a second order system, Nyquist criterion for a stability, relative stability, gain and phase margin, Compensation: Cascade Compensation using Bode plots.
UNIT-IV
State Space Representation: Concept of State, State Variable, State Models of linear time invariant systems. Derivation for state models from transfer functions and differential equations. State Transition matrix- Solution of State equations by time domain method. Observability and Controllability.
UNIT-V
Discrete Control Analysis: Introduction to signals and systems, The Z-transformation, digital control, advantages and disadvantages. Digital
11 12
control system architecture. The discrete transfer function. Sample data system. Transfer function of sample data systems- Z-plane specifications of control system design.Z-domain stability.
Suggested Reading:
- 1.I.J.Nagrath, M.Gopal, Control System Engineering, New Age International (P) Limited Publishers, 5th Edition, 2007.
- 2.J.F.Franklin and J.D.Powell, Digital Control of Dynamic Systems,
Addison Wesley, 1980.
- 3.M.Gopal, Control Systems Principles and Design, Tata McGraw Hill, 2nd Edition, 2003.
- 4.K.Ogata, Modern Control Systems, 3rd Edition.PHI, 2000.
- 5.B.C. Kuo, Automatic Control Systems, 8th edition, Prentice Hall, New Delhi, 2002.
- 6.Shinners S.M., Modern Control Engineering, Prentice Hall, New Jersey, 1995.
- 7.D'azzo and Houpis, Linear Control System Analysis and Design, 4th edition, Singapore, 1995.