Whatever you do is going to depend on how fast this conveyor is running.
If it is dumping material in that burner every 4-5 seconds or every 4 minutes.
If the conveyor speed never changes, then measure the time it takes to travel. If time of travel from weigh scale to burner is greater than burner response time, then you can do what you are wanting to do.
But, if the time of travel is less than burner response, then you are better off leaving it alone, in my opinion.
Everyone's suggestions will work as long as:
1. There is only one bulk of material being weighed, and there is only that one bulk between weigh scale and burner.
2. The conveyor speed does not change, or you are able to get feedback for speed of conveyor for calculations.
3.Burner response to fire rate change is faster than bulk drop off intervals.
This one would work as well, granted the three scenarios above are true.
IE., From weigh scale to burner takes 3 minutes. 3x60=180seconds
The 180 seconds figure is going to be your "encoder".
Once you see a positive signal from the weigh scale, start timing your "encoder".
Choose a spot on the belt to be your "feedforward" point. Meaning, at what point on the conveyor should you send a new fire rate to the burner?
You mentioned, when the product was 10 seconds from the burner. You wanted to send a new fire rate to it. Now, you can subtract the 10 seconds from 180seconds. So, when your timer equals 170seconds, send your new value to the burner.
You can then scale your weight captured to burner rate, then move that value once your "encoder" timer reaches 170.
Calculate your slope between your min and max weight and min and max burner rate.
(Y2-Y1)/(X2-X1)=Slope
Y1=Min. Burner Rate
Y2=Max Burner Rate
X2= Max Weight
X1=Min Weight
Slope x weight= New Burner Rate
You can also add in something simple like, if weight>X, subtract X from 180. All this does, is if the weight is greater than X, move the point at which you start increasing the fire rate father from the burner.
As well as always have a minimum fire rate being sent to the burner. This will keep the burner semi hot during dead periods.