HW08_solutions - EECS 460: Winter 2008, Homework #8...

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EECS 460: Homework #8 Solutions EECS 460: Winter 2008, Homework #8 Solutions 1 of 11
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EECS 460: Winter 2008, Homework #8 Solutions 2 of 11
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0 0.5 1 1.5 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Problem 1: Step Response with PD Controller only Time (sec) Amplitude Student Version of MATLAB EECS 460: Winter 2008, Homework #8 Solutions 3 of 11
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Problem # 2. # (a) # # There # are # many # ways # to # design # the # precompensator. ## I # will # highlight # two # possibilities. ## In # both # cases, # the # solution # is # obtained # via # experimentation # is # MATLAB. # # Case # 1: # Cancel # zero # and # add # a # different # zero # # Suppose # that # we # choose # a # precompensator # # +, 3.241 3.241 c Ps s . , # # which # exactly # cancels # the # zero # in # the # closed # loop # transfer # function. ## This # results # in # zero # overshoot # (and # also # slows # down # the # rise # time). ## Since # we # are # able # to # tolerate # 5% # overshoot, # we # can # try # putting # a # new # zero # further # into # the # left # half # plane. ## Experimentation # in # MATLAB # results # in: # # 3.241 4.25 4.25 3.241 c s s . . # # This # precompensator # essentially # cancels # the # zero # and 3.241 # and # moves # it # further # into # the # left # half # plane. ### # 0 0.5 1 1.5 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Step Response Time (sec) Amplitude + , 3.241 4.25 4.25 3.241 c s s .
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This note was uploaded on 04/13/2010 for the course CS 235 taught by Professor Sabnis during the Spring '10 term at Punjab Engineering College.

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