ece604 lecture 12

# ece604 lecture 12 - Lecture 12 ECE 604 State Variable...

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Oct. 20, 2009 Linear Systems © Douglas Looze 1 Lecture 12 ECE 604 State Variable Analysis Doug Looze

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Oct. 20, 2009 Linear Systems © Douglas Looze 2 Announcements PS4 available Due Thursday, October 22 Midterm exam Wednesday, November 4 7–9 P.M. LGRT A203 Open book, notes No electronic devices
Oct. 20, 2009 Linear Systems © Douglas Looze 3 Modal controllability and observability (C) if and only if independence of certain rows of transformed input matrix (O) if and only if independence of certain columns of transformed output matrix Last time

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Oct. 20, 2009 Linear Systems © Douglas Looze 4 Theorem: A pair ( A , B ) is (C) if and only if [ ] rank s n s - = 2200 ∈ I A B C Theorem: A pair ( A , C ) is (O) if and only if s rank n s - = 2200 ∈ I A C C Hautus (controllability) matrix Hautus (observability) matrix
Oct. 20, 2009 Linear Systems © Douglas Looze 5 Today Discrete-time systems Controllability Observability Exercises Reading Rugh Ch. 25 p. 462–472

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Oct. 20, 2009 Linear Systems © Douglas Looze 6 Discrete-Time Systems Response ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29
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ece604 lecture 12 - Lecture 12 ECE 604 State Variable...

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