midterm00 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND DESIGN F00 Midterm Exam Closed book and notes. No calculators. Show all work. Name: Problem 1: /10 Problem 2: /15 Problem 3: /20 Problem 4: /25 Total: /70 Problem 1 Briefy discuss the relative advantages and disadvantages oF P, PI, and PID controllers.
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Name: Problem 2 For the closed-loop transfer function T ( s ) = 250 ( s + 10)( s 2 + 2 . 5 s + 25) estimate the ±nal value, rise time, settling time and overshoot for a unit step input. (I will remind you that quantities like 1 . 8 n and 4 . 6 / ( ζω n ) are relevant but I expect you to remember how to use them.)
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Name: Problem 3 Consider the negative unity feedback conFguration with a forward path given by G ( s ) = K ( s + 5) s ( s 2 + 2 s + 2) 1. Sketch the root locus of closed-loop poles. Pay particular attention to departure angles, number of asymptotes and the centroid location. 2. What value for K produces a closed-loop pole at s = - 1? (Hint: Make use of the deFning equation for the root locus.)
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midterm00 - ECE 147A FEEDBACK CONTROL SYSTEMS - THEORY AND...

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