Article | REF: S7185 V1

Non-stationary linear systems

Author: Frédéric ROTELLA

Publication date: March 10, 2003

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1. Presentation

Following a definition of non-stationary linear models, which will form the framework for the control methods we will present in the following sections, and in order to introduce the reader to these techniques, we will consider two points in detail. Firstly, the emergence of a non-stationary linear model from the linearization of a non-linear model around a trajectory, and secondly, the very simple example of the thermal control of a greenhouse.

1.1 Non-stationary models

Initially, we will consider linear systems with continuous variable coefficients, i.e. described by a relationship between the input

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