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examII_s98

# examII_s98 - EE 429 EXAM II 23 April 1998 Name ID DO NOT...

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EE 429 EXAM II 23 April 1998 Name: ID#: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 25 2 25 3 25 4 25 Total 100 This test consists of four problems. Answer each problem on the exam itself; if you use additional paper, repeat the identifying information above, and staple it to the rest of your exam when you hand it in. The quality of your analysis and evaluation is as important as your answers. Your reasoning must be precise and clear; your complete English sentences should convey what you are doing. For your convenience, a z-Transform table is provided on page 10. 1

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Problem 1: (25 points) A unit-step input r ( k )= u o ( k ) is applied to the discrete-time control system in Figure 1. - + Σ Y(z) R(z) Plant U(z) z z - 1 -21 z z - 2 Controller Figure 1: Discrete-time control system. 1. (5 points) Determine the transfer function Y ( z ) /R ( z ). 2. (5 points) Determine the input u ( k ) to the plant at k =0 . 3. (5 points) What is the value of y ( k )as k approaches in±nity ? 4. (10 points) Find y ( k ) for k
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examII_s98 - EE 429 EXAM II 23 April 1998 Name ID DO NOT...

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