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TitleEee v Modern Control Theory [10ee55] Notes
TagsControl Theory Nonlinear System Matrix (Mathematics) Mathematical Analysis Systems Theory
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Page 2

Modern Control Theory 10EE55



Dept. of EEE, SJBIT Page 2







UNIT - 6

Non-linear systems: Introduction, behavior of non-linear system, common physical non

linearity-saturation, friction, backlash, dead zone, relay, multi variable non-linearity.

3 Hours



UNIT - 7

Phase plane method, singular points, stability of nonlinear system, limit cycles, construction

of phase trajectories.

7 Hours



UNIT - 8

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.

6 Hours



TEXT BOOKS:

1. Digital control & state variable methods- M. Gopal - 2
nd

edition, THM Hill

2003

2. Control system Engineering- I. J. Nagarath & M. Gopal, - 3
rd

edition, New

Age International (P) Ltd.



REFERENCE BOOKS:

1. State Space Analysis of Control Systems- Katsuhiko Ogata -Prentice Hall

Inc

2. Automatic Control Systems- Benjamin C. Kuo & Farid Golnaraghi, 8
th



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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