bit of a bodge but how about this combined with another relay controlling the power from the output?

 

http://www.ebay.co.uk/itm/NE555-Timer-Relay-Switch-1-300-second-input-DC-5-12v-TIME-OVER-RESET-Delay-relay-/221580876256?hash=item33973fd9e0:g:TC4AAOSw1x1URG0v

Premier can pulse an output

Indeed no need for relays I'm certain, as to the exact method, RTFM OP I'd say.

I've RTFM..... that's why I'm here.

1 - Use Pulse Period 1

When activated, the output will remain on for the duration of the

‘Pulse Period 1’ timer (see page 63 for details).

2 - Use Pulse Period 2

When activated, the output will remain on for the duration of the

‘Pulse Period 2’ timer (see page 63 for details).

3 - Use Pulse Period 3

When activated, the output will remain on for the duration of the

‘Pulse Period 3’ timer (see page 63 for details).

As above, pulse is a hold on timer, then stays restored

Read the bit about custom outputs / timers / cause and effect.

Random Attribute is the easiest way as explained above.

 

Set Random System Timers to 1 sec and 2 sec then add the random attribute to your intruder.