You would probably do better to add a special electric component to a standard controller output. That component is known as an "interval timer" - what an interval timer does is activate when voltage is applied to it, whereupon it activates a switch for a length of time you can adjust.
I didn't see any economical interval timers in a quick look at eBay auctions, where a lot of surplus electronic items can be found. However, I did find some time-delay modules. For instance, a 30-second delay would combine with a one-minute run time to give you a 30 second run time.
How you could apply these devices will depend on your comfort level with electronic circuits.