checkFeedback
Identify possible feedback data
Since R2023a
Syntax
[fbck,fbck0,nudir] = checkFeedback(Data) [___ = checkFeedback(Data,'InputName',inputname,'OutputName',outputname)
Description
Data contains uniformly sampled input/output data in one of the
            following forms:
- timetablein which the variables contain the input and output data.
- Comma-separated pair of input/output numeric matrices u,y with dimensions Ns-by-Nu for u and Ns-by-Ny for y. Here, Ns is the number of samples, Nu is the number of inputs, and Ny is the number of outputs. 
- iddataset with Ny outputs and Nu inputs.
InputName and OutputName — Input and output
            channel names. Use these arguments especially when Data is a
            timetable that has more variables than you want to use, or when there. Also use
                OutputName to identify the output channels when the timetable
                data contains more than one output variable. Otherwise, the
            software interprets only the last variable as an output channel.
 For example, specify the input and output signal variable names using fbck =
                checkFeedback(Data,'InputName',["u1","u3"],'OutputName',"y1"). 
fbck is an Ny-by-Nu matrix
            indicating the feedback. The ky,ku entry is a measure of feedback
            from output ky to input ku. The value is a
            probability P in percent. Its interpretation is that if the
            hypothesis that there is no feedback from output ky to input
                ku were tested at the level P, it would
            have been rejected. An intuitive but technically incorrect way of thinking about this is
            to see P as “the probability of feedback.” Often only
            values above 90% are taken as indications of feedback. When fbck is
            calculated, direct dependence at lag zero between
                u(t) and
                y(t) is not regarded as a feedback
            effect.
fbck0: Same as fbck, but direct dependence at
            lag 0 between u(t) and
                y(t) is viewed as feedback effect.
nudir: A vector containing those input numbers that appear to have
            a direct effect on some outputs, that is, no delay from input to output.