At my uni some labs rely on a RFID badge system for charging for the access, others rely on a logsheet. Access is basically always restricted to authorized users by RFID badge.
The logsheet works well if a lab has proper oversight, most labs I've seen that run like this have a fully booked reservation calendar anyway so they know pretty well who is using it at any time. People who don't show up for reserved time or don't log time properly get in trouble and may have access restricted or revoked if the problem continues.
No matter the system you basically need to have "boots on the ground", i.e. somebody in charge of the equipment who is in the lab pretty regularly and makes sure that people show up for their reservations, makes sure they stay logged in with their swipe card or fill out the logbook properly, and makes sure they use the equipment properly and safely.
This is mainly a people problem, not a technical problem.