The form factor matches up to the Vector 22/44 0.156" card edge physical form factor
standard.
Which doesn't narrow it down at all. Millions of custom industrial systems (some
micro-based, but most not) were built using these plugboard style systems from the
60's through the 80's. Vector sold card cages and proto cards; the one-offs
usually used the proto cards but something that was made in small to medium quantity might
have used a Vector card cage (perhaps hand-wired) and etched PCB's.
Sometimes the backplane was a simple bus in the computer sense but usually not.
Looking at the chip logos and mix of analog/digital I'd suggest this is from the late
70's/early 80's and is some kind of DAQ front end or perhaps digital-math servo
system. You can narrow the date range down from looking at the date codes on the chips.