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T9 - 6 Generate the equation that would be used to plot the...

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ME360 Winter 2011 Tutorial #9 The transfer function for a plant is given as: ) 25 . 1 2 ( 1 ) ( 2 + = s s s s G p 1. Draw the block diagram for the system where the feedback compensation transfer function is given as: s T s H d + = 1 ) ( 2. What is the closed loop transfer function for this system? 3. Generate the equation that would be used to plot the root locus for T d . You should plot the root locus using Matlab. 4. For what values of T d is the system stable? 5. Design a controller that will make the system stable. You don’t have to find the gains (yet), but prove that this controller will work.
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Unformatted text preview: 6. Generate the equation that would be used to plot the root locus for T d . 7. Find the gains for your controller such that a zero is placed at 1 − = s . Plot the root locus using Matlab. What is the critical value for T d ? 8. Find the value for T d for the controller from 7 such that the oscillatory component of the response behaves as a system with a damping ratio of 0.8. 9. Find the gains to your controller and T d such that the system has a damping ratio of 0.9 and a natural frequency of 3.0 rad/s....
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