midterm94360f94

midterm94360f94 - Carleton University Department of Systems...

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Unformatted text preview: Carleton University Department of Systems and Computer Engineering 94.260C Systems and Simulation Fall 199 5! One Hoff jEEE limit" _--_—-__u-----__..._-________..____..._________..-_—..-_....____-____.......___-......-_____-__-____-.____—..___ 1 For the systems shown below: [5 Marks] (i) Find the state equations and write them in a matrix form. [5 Liar-ks] (ii) Draw the simulation diagram using integrators, adders and sealers. Make sure to indicate the sign of variables at the inputs of each adder. 290-) M 't",”’/”,l,f,17’ I ’ Fn‘eh‘m , b 2. The impulse response of a first order linear system is: h(t:) = 36“”2 ; (:20 = 0 ,' t < 0 [3 Marks] (i) Write down the differential equation of this system. [2 Marks] (ii) What is the system transfer function? [5 Marks] (iii) Use the convolution method to calculate the forced response of the system when the input, x(t), is: X(t:) 2 ;1st52 D ; otherwise 94.260C Systems and Simulation Carleton university Department of Systems and Computer Engineering Fall 1993/94 1. Mid-Term Exam ( 50 minutes, closed book) The state equations of a linear system are: MO = 2m) -x1(r) exam 4x30) dt (1:2?) =x1(t) -xz(t) d3?) =x2(t) ~2x3(1) Draw the system simulation diagram. (f(t) is the system input) A second order linear system has thefoilowing 1/0 differential equation: 4'2 (l) d (I) _ “:2 +3 it +2y(t) —x(t) where y(t) is the system output and x(t) is the system input. Find the forced response when the input x(t) = u(t) - u(t - 2). u(t) is the unit step function. Consider the following system: ( f(t) is the input; and x(t) is the output) dx(t) dt =flt) -5 x(t) -2 2(t) (12(1) =0.5 t dt x( ) (i) Find the transfer function H(s) (ii) Find the poles and zeros of H(s) ...
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This note was uploaded on 10/15/2010 for the course SYSC 3600 taught by Professor John bryant during the Spring '08 term at Carleton CA.

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midterm94360f94 - Carleton University Department of Systems...

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