Control ENG HW_Part_10

Control ENG HW_Part_10 - (a) 0.1 min (b) 10. min after the...

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4.5 The function f(t) has the Laplace transform 2 2 / ) 2 1 ( ) ( s e e S f s s - - + - = obtain the function f(t) and graph f(t) 2 2 2 1 ) ( s e e s f s s - - + - = 2 2 2 1 s e e s e s s s - - - - - - = )] 2 ( ) 2 ( ) 1 ( ) 1 {( ) ( ) 1 ( ) 1 ( )} ( { ) ( 1 - - - - - - + - - - = = - t u t t u t t tu t u t s f L t f ) 2 ( ) 2 ( ) 1 ( ) 1 ( 2 ) ( - - + - - - = t u t t u t t tu 4.6 Determine f(t) at t = 1.5 and at t = 3 for following function: ) 2 ( ) 3 ( ) 1 ( 5 . 0 ) ( 5 . 0 ) ( - - + - - = t u t t u t u t f

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At t = 1.5 ) 2 ( ) 3 ( ) 1 ( 5 . 0 ) ( 5 . 0 ) ( - - + - - = t u t t u t u t f ) 1 ( 5 . 0 ) ( 5 . 0 ) 5 . 1 ( - - = t u t u f 0 5 . 0 5 . 0 ) 5 . 1 ( = - = f At t = 3 0 ) 3 3 ( 5 . 0 5 . 0 ) 3 ( = - + - = f RESPONSE OF A FIRST ORDER SYSTEMS 5.1 A thermometer having a time constant of 0.2 min is placed in a temperature bath and after the thermometer comes to equilibrium with the bath, the temperature of the bath is increased linearly with time at the rate of I deg C / min what is the difference between the indicated temperature and bath temperature
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Unformatted text preview: (a) 0.1 min (b) 10. min after the change in temperature begins. © what is the maximum deviation between the indicated temperaturew and bath temperature and when does it occurs. (d) plot the forcing function and the response on the same graph. After the long enough time buy how many minutes does the response lag the input. Consider thermometer to be in equilibrium with temperature bath at temperature Xs , ) / 1 ( ) ( > ° + = t t m X t X S as it is given that the temperture varies linearly X(t)-Xs = t Let X(t) = X(t) - Xs = t...
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This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

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Control ENG HW_Part_10 - (a) 0.1 min (b) 10. min after the...

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