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Having done all of the above, now do the following:

  1. (50 pts) Make plots of the step response of the system you just created for $K=7$ , $K=16$ and $K=80$ . Verify that the system operates as the book indicates. Provide a printout of the plots in your writeup. Also provide a plot of your Simulink block diagram.
  2. (20 pts) For this step, leave the amplifier gain at 80. Replace the step input with a Signal Generator (from the Sources menu). The Signal Generator lets you choose a variety of sources. Select the sinusoidal source and leave the peak amplitude at 1. Then for frequencies of 10, 20, 50, and 100 radians/sec, simulate the system. (There are four different simulations to do.) Find the ratio of the steady-state output amplitude (after the effect of the initial conditions dies down) to the input amplitude from plots of the output. For the 20 radians/sec case only, provide a plot of 5 seconds of the output signal. Compare the ratio of steady-state output amplitude to input amplitude with the theoretical results for gain.
  3. (30 pts) Now create a new block diagram that operates the same way. However, this time instead of using a Transfer function block, you will build the transfer function $\frac{1}{s^2 + 8s}$ using integrators, summers, and gain blocks as described in section 6.6. After implementing the transfer function using the cannonical realization, provide the rest of the blocks to complete the simulation of the motor system. Print out the Simulink block diagram. Also, simulate the system again with gains of 7, 16, and 80, and provide plots of the output. They should be the same as the results you obtained before.
Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, June 14). TRtherest.html. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/TRtherest.html. This work is licensed under a Creative Commons License Creative Commons License