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Unformatted text preview: R = 0.25 , L = 0.01 H, C = 0.002 F, and input voltage e in ( t ) = 0.5sin10 t V. There is no current in the circuit, or charge in the capacitor at time t = 0. Plot the output (voltage across resistor R ) and input e in ( t ) [on the same figure] for a simulation time of 0.5 sec. Hand in a printout of your Simulink model. Problem 4 . Given the system matrix --= 2 30 1 A a) Determine the systems eigenvalues by hand (you can check with Matlab). b) Based on knowledge of the eigenvalues, describe the systems natural response to arbitrary initial conditions and zero input. c) Verify your description in part b by simulating the systems response to an initial state vector x (0) = [ 0 2 ] T . There is no system input. You may use Matlab (LSIM.m) or Simulink. Hand in a plot of state x 1 ( t ), and hand in a printout of either your Mfile or Simulink model....
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- Spring '09