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B.E-B.E Electronics and Instrumentation Engineering Modern Control Systems (Sathyabama University, Chennai, Tamil Nadu-2010)

Friday, 23 August 2013 06:35Duraimani
SATHYABAMA UNIVERSITY
(Established under section 3 of UGC Act,1956)
Course & Branch :B.E - EIE
Title of the Paper :Modern Control Systems         Max. Marks :80
Sub. Code :518602/6C0087                                   Time : 3 Hours
Date :03/05/2010                                                    Session :FN
                                       PART - A                    (10 x 2 = 20)
                        Answer ALL the Questions
1.       Define Canonical variables.
2.     What is discrete time system?
3.     Define Eigen vector.
4.     What is Jordon form?
5.     Explain controllability and observability.
6.     What is Gilbert method?
7.     Define impulse function.
8.     What is irreducibility?
9.     Define dead zone and saturation.
10.   What is trajectory?

PART – B                       (5 x 12 = 60)
Answer All the Questions
11.   Formulate state space model from the physical model using differential Equations.
(or)
12.   Explain the state space representation of discrete time systems.
13.   Explain the structure of Canonical forms of representation of a system in detail.
(or)
14.   Write short notes on 
        (a) How to find Eigen values?
        (b) Diagonalisation.
15.   State and explain Cayley Hamilton theorem in detail.
(or)
16.   (a) Explain Kalman Decomposition.
        (b) Explain Pole placement method.
17.   Explain the computation of Transfer matrices in detail.
(or)
18.   Explain reducibility and irreducibility of a system in detail.
19.   Explain different types of non-linearities in detail with a suitable Sketch.
(or)
20.   Explain the construction of phase plane trajectories for a nonlinear second order system with saturation. 
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