Process Control Design for Industrial Applications

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 x_I1 and the system with uncertainties of state vector x_I2, such that

[D.1]

with

[D.2]

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

[D.3]

[D.4]

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

For P_I defined by

[D.5]

we obtain

[D.6]

with

[D.7]

and

[D.8]

or for the process ...