Caged system for barre chords
This system is very simple. The five positions bellow are considered movable.
Let’s start with an easier example of how these positions move. If you start with an open E chord, you can slide that position up one fret and barre with your first finger. Once you have barred the first fret and moved the E position up one fret, you have a new chord, F major. You can do this all the way up the fret board chromatically. Once you have hit the 12th fret, you are at an octave higher E chord.
If your chord begins in the 2nd fret (such as A, D, G) there will be a one fret space between the barre and the chord formation. Each of the formations can be moved up the fretboard chromatically and each of the chords are an octave higher at the 12th fret. Chords B major and F major are extensions of the E and A chord forms. Every open chord formation is considered movable.
In the A form you can see that I used an Ab instead of a G#, they are the same chord/note. Anyhow, now you can see how the system is used and can be done for all open chord forms.