* The other solutionis to use a zener (or similar circuitry) from output to to inverting input. In when the LED power is absent, the the OPAMP drives it's output high until the zener gets active andpulls the inverting input as high as the noninverting input.
The benefit is, that it is a simple solution. The OPAMP is always in regulating state - non saturating - therefore it doesn't suffer from long time coming out of saturating state. Mind that some, even fast OPAMPs may need several 10ms for this.
You will see a little unavoidable overshot.