Maps of dynamics

Descripción

An extension of the SOM projection, can be obtained by defining an extra set of parameters or descriptors p_1, p_2, p_p, of a dynamic model. When projecting the points of this "extended" space by means of the SOM, new planes are generated where each point represents a prototype which contains both the operating point (process variables) and the local dynamic behavior of the process (parameters p_i). Thus, the SOM mapping establishes an association between the subspace of process variables which defines an operating point, and the paramters subspace, which defines the dynamic behavior, so the planes from both subspaces are mutually consistent and comparable one to each other. This allows the user to explore the influence relationships between a set of process variables (for instance, variables defining an operating point) and its local dynamic behavior, resulting in a useful way for the analysis of nonlinear and nonstationary processes.