Many "timed-action" libraries (your library, SimpleTimer (mine) and Time+TimeAlarm) are based on the "polling" concept: a function must be called in loop() at least once per ms, so it can check wether it's time to call a function.
If the op's cycle needs 1 minute to run, then none of the mentioned libraries can help.
The title says every 200ms
And, at least for my library, you can update the TimedAction at any rate you prefer, but that will also limit the presicion of the timing.
@AlphaBeta: you're right, my statement about the need to call the control routine every 1ms is wrong.
You have to call it at least every x ms if you want an action to be performed every x ms, or obviously you'll loose some "ticks".
If the op's routine needs 1 minute to run, then he can fire timed actions every minute, not sooner.