final00 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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Unformatted text preview: ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND DESIGN F00 Final Exam Closed book and notes. No calculators. Show all work. Name: Problem 1: /20 Problem 2: /20 Problem 3: /20 Problem 4: /20 Problem 5: /20 Total: /100 Name: Problem 1 Plot the root locus diagram corresponding to K > 0 for the negative unity feedback configuration having forward path given by KG ( s ) where G ( s ) = 1 s ( s + 2)( s + 10) . Be precise about centroid locations, locations where branches meet, -axis crossings and the range of K for stability. (Simplify your numerical values as much as you can without a calculator.) Name: Name: Problem 2 A system has the nonlinear dynamics x = u + f ( x ) y = x where the function x 7 f ( x ) is shown in the figure to the right. 1. Estimate the open-loop transfer function associated with operating at the point x * = 10. 2. Build a controller (perhaps containing a prefilter) that, in a negative unity feedback configura- tion, makes the closed loop transfer function Type I and has a step response corresponding to...
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final00 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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