Hwk_Assign_4-2 - or 3 x but must be in terms of x 1 x 2 x 3...

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125:305 Numerical Modeling in Biomedical Systems Fall, 2010 Dr. Shoane Homework Assignment #4 Due Tuesday, 10/5/2010 1) Prob. 2.6.4 a-e (pg. 68) Provide all answers in terms of k 1 , k 2 , and β . For Part c, ignore “Comment on the result”. Selected Answer: Part e, ( 29 + - = - - 1 2 2 4 1 ) 1 ( ) ( t k e k t A t x β 2) Prob. 2.8.1 a and b only (pg. 91) Note: Select only 3 state variable x 1 , x 2 , and x 3 , so that A is a 3x3 matrix. In the simulation diagram, the connection at z needs to be moved to “r”, before the summing junction. (This is because the output c cannot be written in terms of z
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Unformatted text preview: , or 3 x , but must be in terms of x 1 , x 2 , x 3 , and r). Hint: Use Fig. 3.5.8 on pg. 119 as a reference. Selected Answers: ---= 2 3 3 2 3 2 2 3 3 1 3 1 2 3 3 3 a b a a b a b a a b a b a a b C D= 3 3 a b , where the D matrix serves as the gain for direct connection from r to c. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 1...
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