4. Model reduction by identification. Linear case
We propose here a practical application of the concepts seen previously, consisting in the identification of a reduced-order dynamic model, and then the use of such a model to estimate time-dependent input quantities. The linearity of the model is understood here in relation to its inputs, cf. [AF 4 515, equation (10)].
The first phase of model identification, requires us to give ourselves a model equation structure, defined by its parameters (matrices) which we then seek to identify through its output vector Ymo;;. This is compared :
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Model reduction by identification. Linear case