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Unformatted text preview: (a). ) ( t y = t 5 u(t) (b). ) ( t y = e 2t u(t) (c). ) ( t y = sin(wt)u(t) (d). ) ( t y = cos(wt)u(t) Do your answers agree with those listed in the tables? 4) (15 pts). Using the symbolic toolbox, take the inverse Laplace transforms of the following: (a). ) ( t y = 1 1-s (b). ) ( t y = 1 1 2 + s (c). ) ( t y = 4 2 + s s (d). ) ( t y = 4 1 2 + s R =2 L =2 H C =F x(t) y(t) Do your answers agree with those listed in the tables? 5(20 pts). Given the control system below, with plant 2 2 2 6 2 ( ) 3 4 s s + G s = s s + + + and controller 4( 3) ( ) 12 s + H s = s + (a). Plot the open loop step response G(s) (b). Using Matlab, find the closed loop transfer function of this system. Hint: use feedback command. (c). Plot the closed loop step response (d). Compare the results from parts a and c....
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- Spring '07