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98.704 CONTROL SYSTEMS (T) 3- 1-0
Module I
Open loop and closed loop control
systems: examples, applications of laplace transforms to linear systems, transfer function of linear systems - simple mechanical and electromechanical systems.
Block diagram representation, signal flow graphs - Mason's gain formula
Standard test signals, time response of first and second order systems - natural
frequency and damping ratio, time response specifications. Steady state and
dynamic error coefficients.
Module II
Concept of stability: Routh's stability
criterion., root locus technique
Frequency response analysis: Frequency domain specifications, Bode plots,
Nyquist plots, gain margin and phase margin, Nyquist stability criterion.
Module III
Elements of discrete control systems - transfer functions of discrete data systems - stability of closed loop discrete system - Jury's test.
State space representation of dynamic systems : physical notion of system state, block diagram representations. Transfer function from state model, state space representations of transfer functions (first and second companion forms).
Solution of differential equations in state space form - (Laplace transform
method only), definition of controllability and observability - Kalman's Test.
Text Books : -
Ref (1), (2) & (3)
References : -
1. I.J. Nagarath and M.Gopal, Control
System Engineering, New age International Ltd. , New Delhi.
2. B.C Kuo, Automatic Control Systems, Prentice Hall of India, New Delhi.
3. B. Friedland, Control System Design : An Introduction to State Space Methods,
McGraw Hill, Inc., N.Y. (for Module III)
4. K.Ogata, Modern Control Engineering, Prentice Hall of India, New Delhi.
Question Paper : -
The question paper will consist of two parts. Part I is to cover the entire syllabus, and carries 40 marks. This will contain 10 compulsory questions of 4 marks each. Part II is to cover 3 modules, and carries 60 marks. There will be 3 questions from each module (10 marks each) out of which 2 are to be answered.