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Complete tutorial questions about modelling in time domain
Typology: Exercises
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SEM 2 – 22-
QUESTION 1 a) An eight-order system would be represented in state-space with how many state equations? (b) What is a convenient choices of state variables for electrical networks?
QUESTION 2 Represent the electrical network shown in Figure 1 in state space, where vo ( t ) is the output.
Figure 1 QUESTION 3 Find the state-space representation of the network shown in Figure 2 if the output is v 0 ( t ).
Figure 2
SEM 2 – 22-
QUESTION 4 Find the state-space representation in phase-variable form for all systems shown in Figure 3.
Figure 3
QUESTION 5 Find the transfer function, G ( s ) = Y ( s )/ R ( s ) , for each of the following systems represented in state space representation.
(a) ̇( ) = 0 1 0 0 0 1 -3 -2 - ( ) + 0 0 10 ( ) ( ) = [1 0 0 ]^ ( )
(b) ̇( ) =
