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Article | REF: S7188 V1

Observers for dynamic systems

Author: Frédéric Rotella

Publication date: July 10, 2019

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5. Non-stationary linear models

Non-stationary models are important because, while retaining the intrinsic properties of linear models, they enable us to pilot a non-linear system by linearization around a desired trajectory. We will not go into detail on these two aspects described in [S 7 035] . In this section, we will simply show that the principle of linear function observer design methods can easily be extended to this much more general type of model.

Consider a non-stationary linear model of the form :

x·(t)=A(t)x(t)+B(t)u(t),y(t)=C(t)x(t),
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