Appendix BDetermination of the Maximum Error for Pole Placement for a Nonlinear Third-Order Process

Let us consider the process (S) for which the evolution is described by equation:

[B.1]image

with

[B.2]image
[B.3]image

and

[B.4]image

with

[B.5]image

By linearizing the system without uncertainties around the operating point (x0 = 0), we obtain:

[B.6]image

with

[B.7]image

The characteristic polynomial of the system is:

[B.8]image

such that:

[B.9]image

With the base change defined by matrix Pc:

[B.10]image

by letting

[B.11]
[B.12]

we obtain a canonical ...

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