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Unformatted text preview: AE361 ADVANCED STABILITY AND CONTROL Problem 8 For the closed loop system of Problem 6: 1. For what range of gain K is the system stable? 2. Define the asymptotes in terms of slope and intersection with the real axis without use of MATLAB. 3. There are two bifurcations on the real axis in the root locus, one between two poles and one between two zeros. Approximate where these bifurcations occur without resorting to MATLAB. Verify your result with MATLAB. 4. For what value of K does the system begin to display oscillatory behavior. 5. What is the maximum allowable value of K to keep the damping ratio of the oscillatory behavior in excess of a; = 0.7 . 6. What is the steady state error for a unit step input? ...
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