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tut 3 (1) SE

# tut 3 (1) SE - EET309 Tutorial 3 1 For each of the transfer...

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EET309 Tutorial 3 1. For each of the transfer function shown below, find the locations of the poles and zeros. Plot them on the s-plane. (a) 6 5 1 2 + + + s s s (b) ) 45 8 ( 1 4 2 + + + s s s s (c) 24 6 1 2 - - - s s s (d) ) 5 )( 2 ( ) 7 ( 2 + + + s s s s (e) 3 2 4 2 + + s s 2. Write the transfer functions and expressions for the systems which have the dc gains, the poles and zeros shown below: 3. For each of the transfer function shown below, find the output response for the given input: 1 ) ( ) ( + + = s s s R s Y , 1 ) ( = s R 1 ) ( ) ( + + = s s s R s Y , s s R 1 ) ( = 5 . 0 ) ( ) ( + + + = s s s s R s C , 1 ) ( = s R 1 ) ( ) ( + = s s s R s Y , s s R 1 ) ( =

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EET309 Tutorial 3 4. Find the first and last values for functions below. Find the order and type for each of the function. ) 6 ( 5 ) ( + + = s s s s G ) 5 )( 2 . 0 ( ) ( + + + + = s s s s s s F ) 5 )( 2 . 0 ( ) ( 2 + + + + = s s s s s s Q ) 5 . 0 ( ) ( 2 + + + = s s s s s s Q 5. Draw the block diagrams for the following models. Inputs are u and r , output is y . Unknown is x and internal unknown is e . (a) x y 5 . 7 = e x 3 = y u e 2 - = (b) x y 10 . = e r x + = y u e - = 6. Find the time response expression for transfer function
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tut 3 (1) SE - EET309 Tutorial 3 1 For each of the transfer...

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