Two comments:
(1) The Shimadzu DGU0-20A-Series vacuum degasser modules DO NOT HAVE a power switch of any kind (By design, this is NORMAL). They are powered directly from an interconnecting cable to the PUMP modules (or optionally, via a separate standalone power supply if you are not using the degasser with a Shimadzu 20-series pump). When power is connected, they turn ON.
(2) Their is no sleep mode for the degasser, only 'ON' and 'OFF', but if connected via the optional remote cable to the HPLC, the HPLC pump can turn it off (removes power from it). This normally happens due to: (a) an error such as a leak etc; (b) a programmed step in your method which tells the HPLC system to go to standby mode (if the degasser is connected, which is optional, then it could turn off the degasser module). Just disconnect the remote cable to keep the degasser from being turned off (Never run the degasser if NO flow is running through it. You will decrease the lifetime of the degasser. Turn it OFF when not used).
Note: The Shimadzu DGU-20A# degassers have a lifetime of around 4-years. The DGU-20A#R degassers have a lifetime of around 3-4 years max before requiring replacement of professional service. If the degasser shows a flashing red error light (after the 8 minute warm up time), then it has already been broken for a ling time. The error lights only turn on long after the system is broken so they should always be professionally serviced BEFORE the red light appears. The best way to do this is to have them serviced on a regular schedule, every 3-years to prevent additional damage and flow path contamination of your entire HPLC system.