RE: Repeated parametric uncertainty

From: Postlethwaite, Prof I. <ixp@leicester.ac.uk>
Date: Mon Oct 25 2004 - 12:54:54 CEST

Dear Jeffrey

Sorry about the delay but here is what you do.

With reference to Figure 8.6 of the book, where the input to delta is the vector z and its output is w, you can construct the LFT of the example 'y = delta^2' as follows:

y = w2

w2 = delta z2

z2 = w1

w1 = delta z1

z1 = u

which yields:

H11 = [0 0; 1 0]     H12 = [1; 0]

H21 = [0 1]            H22 = [0]

DELTA = diag(delta, delta)

Good luck

ian
-----Original Message-----
From: Martin, Jeffrey [mailto:jeffrey.martin@lmco.com]
Sent: 13 October 2004 17:08
To: ixp@leicester.ac.uk
Subject: Repeated parametric uncertainty
I am so sorry to bother you with this but I can't solve the problem. On page 286 of the 1996 text 'Multivariable Feedback Control' there is a statement noting that non-linear parameter dependencies may be represented, such as delta^2 where delta would be repeated. Can you provide an example of this to me?
Received on Mon Oct 25 10:54:54 2004

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