SVD decoupling case study (5): three controlled variable, four manipulated variables

Antonio Sala, UPV

Difficulty: **** ,       Relevance: PIC,      Duration: 20:21

*Enlace a Spanish version

Materials:    [ Cód.: SVDdecouplingTSTeng.mlx ] [ PDF ]

Summary:

This video discusses the intuitive interpretation of the principal maneuvers in a process with 3 controlled outputs and 4 manipulated inputs: heating some material with three thermocouples attached to it, controlled with two resistances and two cold air blowers.

The video is a continuation of the case study in which the intuitive interpretation of the SVD was analyzed through a process of 1 controlled variable and several manipulated ones, or several controlled variables and one manipulated one. These previous examples are summarized in the first three minutes of video (details in videos [dsvdintu2EN] and [dsvdintu3EN]).

The goal is to understand how the actuator fusions or sensor weighted averages that appeared in the previous examples can be generalized to the full multivariate case.

The initial part of the video analyzes the principal maneuvers, gain and conditioning, concluding that only two of said maneuvers are reasonably “controllable”.

The block diagram that would carry out SVD decoupling is discussed in the final part of the video, which incorporates a separate controller (e.g., PID) for each of the two maneuvers. Such control structure is usually named ”SVD decoupling”.

*Link to my [ whole collection] of videos in English. Link to larger [ Colección completa] in Spanish.

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