06EE55 - Modern Control Theory Regulation 2006 - 2007 |
PART – A |
UNIT – I STATE VARIABLE ANALYSIS AND DESIGN |
Introduction, concept of
state, state variables and state model, state modeling of linear systems,
linearization of state equations. |
UNIT – II |
State space representation using physical variables, phase variables &
canonical variables. |
UNIT – III |
Derivation of transfer function from state model, digitalization, Eigen values,
Eigen vectors, generalized Eigen vectors. |
UNIT - IV |
Solution of state equation, state transition matrix and its properties,
computation using Laplace transformation, power series method, Cayley-
Hamilton method, concept of controllability & observability, methods of
determining the same. |
PART – B |
UNIT – V POLE PLACEMENT TECHNIQUES |
stability improvements by state
feedback, necessary & sufficient conditions for arbitrary pole placement,
state regulator design, and design of state observer, Controllers- P, PI, PID. |
UNIT – VI |
Non-linear systems: Introduction, behavior of non-linear system, common
physical non linearity-saturation, friction, backlash, dead zone, relay, multi
variable non-linearity.
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UNIT – VII |
Phase plane method, singular points, stability of nonlinear system, limit
cycles, construction of phase trajectories.
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UNIT – VIII |
Liapunov stability criteria, Liapunov functions, direct method of Liapunov &
the linear system, Hurwitz criterion & Liapunov’s direct method,
construction of Liapunov functions for nonlinear system by Krasvskii’s
method.
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REFERENCE |
TEXT BOOKS: |
1. Digital control & state variable methods- M. Gopal - 2nd edition, THM Hill 2003
2. Control system Engineering- I. J. Nagarath & M. Gopal, - 3rd
edition, New Age International (P) Ltd.
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Reference Books |
1. State Space Analysis of Control Systems- Katsuhiko Ogata -
Prentice Hall Inc.
2. Automatic Control Systems- Benjamin C. Kuo & Farid
Golnaraghi, 8th edition, John Wiley & Sons 2003.
3. Modern Control Engineering- Katsuhiko Ogata- PHI 2003.
4. Control Engineering theory and practice- M. N. Bandyapadhyay
PHI, 2007.
5. Modern control systems- Dorf & Bishop- Pearson education, 1998.
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