hw4-fa10

# hw4-fa10 - CALIFORNIA INSTITUTE OF TECHNOLOGY Control and...

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Unformatted text preview: CALIFORNIA INSTITUTE OF TECHNOLOGY Control and Dynamical Systems CDS 101 D. G. MacMynowski Fall 2010 Problem Set #4 Issued: 18 Oct 10 Due: 25 Oct 10 Note: In the upper left hand corner of the second page of your homework set, please put the number of hours that you spent on this homework set (including reading). 1. Consider the normalized, linearized inverted pendulum which is described by d dt x 1 x 2 = 0 1 1 0 x 1 x 2 + 1 u = Ax + Bu, y = 1 0 x 1 x 2 = Cx Determine a state feedback and reference gain u =- Kx + k r r that gives a closed loop system with unit static gain (steady-state output y = r ) and with the characteristic polynomial s 2 + 2 ζ ω s + ω 2 . CALIFORNIA INSTITUTE OF TECHNOLOGY Control and Dynamical Systems CDS 110a D. G. MacMynowski Fall 2010 Problem Set #4 Issued: 18 Oct 10 Due: 25 Oct 10 Note: In the upper left hand corner of the...
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## This note was uploaded on 01/04/2012 for the course CDS 101 taught by Professor Murray,r during the Fall '08 term at Caltech.

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hw4-fa10 - CALIFORNIA INSTITUTE OF TECHNOLOGY Control and...

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