hw1soln_f09

hw1soln_f09 - 1 + 2 + + N (1 ) = (1 + 1 + 2 + + N ) ( 1 + 2...

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ME 132 Fall 2009 Solutions to Homework 1 1. There are several examples from each Feld that are valid descriptions of feedback sys- tems. As long as you showed the dependence of the control signal on some measured variable, your example should be su±cient. 2. Problem 1.3.1 in the class notes. (a) ²or β = 1, α = N s k =0 β k = N s k =0 1 k = 1 0 + 1 1 + 1 2 + · · · + 1 N = N + 1 (b) ²or β n = 1, α = N s k =0 β k = 1 +
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Unformatted text preview: 1 + 2 + + N (1 ) = (1 + 1 + 2 + + N ) ( 1 + 2 + + N + N +1 ) = 1 N +1 = 1 N +1 1 (c) If | | < 1, then lim n n = 0 So := lim n = s k =0 k = lim n 1 n +1 1 = 1 1 1...
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