examII_f99 - EE 530 FINAL EXAM 16 December 1999 Name ID DO...

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EE 530 FINAL EXAM 16 December 1999 Name: ID#: DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Problem Weight Score 1 24 2 20 3 21 4 35 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. 1
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Problem 1: (24 points) Suppose that you are estimating process parameters with the RLS-algorithm. 1. (8 points) Give reasons for choosing a value of λ close to zero. 2. (8 points) Assume that P (0) = αI ; give reasons for choosing a small value of α . 3. (8 points) Assume that P (0) = αI ; give reasons for choosing a large value of α . Problem 2: (20 points) Consider a system with the transfer function G ( s ) = 25 ( s + 1)( s + 10) 2 .
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