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problemset8

# problemset8 - sense that qualitatively the behavior of the...

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The University of Texas at Austin Department of Electrical and Computer Engineering EE362K: Introduction to Automatic Control—Fall 2009 Problem Set Eight C. Caramanis Due: Wednesday, November 18, 2009. This problem set continues our focus on the transform domain. We consider stability and pole placement, System interconnection, and Bode plots. 1. Exercise 8.2. 2. Exercise 8.3. 3. Exercise 8.4. 4. Exercise 8.5: Transfer functions, stability, and Bode plots. The Bode plot in part (c) requires some reasoning about the straight line approximation to get correct. The point is to show that this kind of straight-line analysis can produce a plot that is qualitatively correct, in the
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Unformatted text preview: sense that qualitatively the behavior of the straight line plot should resemble the exact plot you obtain using Matlab. 5. Exercise 8.13: In class we discussed system type with respect to disturbance, and used this as one motivation to introduce an integral component to our controller, as this can increase the system type, and therefore the ability of a system to reject disturbance. This exercise shows that even a constant disturbance can cause a system to be unstable, i.e., a system may not even be of type zero with respect to disturbance. 6. Exercise 8.11 (optional) 7. (Optional) Kalman Decomposition: Exercise 8.7. 1...
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