Kharitonov rectangle for interval polynomial

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Kharitonov rectangle for interval polynomial

Nov 28, 2014 compiled on — Wednesday July 06, 2016 at 08:28 AM

Simulation of motion of Kharitonov rectangle for $0 ≤ ω ≤ 1$ using two intervals polynomial as illustrations.

Interval polynomials from Examples 5.10.1 and 5.7.4 from chapter 5, ”New tools for robustness of linear systems” by Professor B. Ross Barmish are used to show simulation of Kharitonov rectangle for $0 < ω < 1$ . The two interval polynomials used are:

Example 5.7.4 $p(s,q) = [0.25,1.25]s3 + [2.75,3.25]s2 + [0.75,1.25]s+ [0.25,1.25]$

example 5.10.1 $s6 + [3.95,4.05]s5 + [3.95,4.05]s4 + [5.95,6.05]s3 + [2.95,3.05 ]s2 + [1.95,2.05 ]s + [0.45,0.55 ]$