# hw8 - (c) If the output y is de±ned by y = x 2 , ±nd the...

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ME/ECE859-Spring 2008 Homework 8 Due date: 3/24/08 Monday 1. Consider the system ˙ x 1 = x 1 + x 2 1 + x 2 1 , ˙ x 2 = - x 2 + x 3 , ˙ x 3 = x 1 x 2 + u (a) Use Theorem 13.2 to prove that the system is transformable into the controller form. (b) Find the change of variables that transforms the system into the controller form and determine its domain of validity.
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Unformatted text preview: (c) If the output y is de±ned by y = x 2 , ±nd the relative degree of the system and determine if it is minimum phase. (d) Repeat part (c) if y = x 1 . 2. Parts (a) through (d) of Exercise 12.8 of the textbook. 1...
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## This note was uploaded on 07/25/2008 for the course ME 859 taught by Professor Choi during the Spring '08 term at Michigan State University.

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