Appendix DOvervaluation of the Maximum Error in a Tracking Problem for a Lur’e Postnikov Type Process

Let us consider the third-order Lur’e Postnikov type system with the state vector xI1 and the system with uncertainties of state vector xI2, such that

[D.1]image

with

[D.2]image

First, we must carry out a change of basis defined by the matrix PI so that images is the last component of the state vector x; for the vector characterizing the output, we obtain:

[D.3]image
[D.4]image

There are an infinite number of basis changes that give this result.

For PI defined by

[D.5]image

we obtain

[D.6]image

with

[D.7]image

and

[D.8]image

or for the process ...

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