A couple issues here; I like the instant on CFL lights to keep the plants from being fooled by multiple blackouts happening in quick succession. Do those stay on all the time under normal circumstances?
Second, I keep hearing people referring to short duration power outages as 'brownouts', and this is incorrect. A BROWNOUT is when the power company deliberately runs the grid undervoltage by up to 8% to stretch available capacity to cover short periods of very high loads; this is often their last trick before being forced to resort to rolling blackouts. These brownouts place additional stress on electronics, especially ballasts, transformers and power supplies and the devices they control like computers. The power supply attempts to correct the undervoltage and ends up pulling MORE power, which I'm willing to bet the power company is charging you for, even though they didn't provide the proper voltage in the first place!
A BLACKOUT is any power interruption, even those lasting for only a second or two. The two are not the same.
For data centers and installations requiring high reliability power, the standard tactic is the use of uninterruptible power supplies, smaller versions of which are known as 'battery backups'. They come in all sizes from little ones to handle your laptop to monsters that run banks of batteries and even have their own gnerators. These would be impractically expensive to use to cover for indoor growroom lighting- but to handle pumps, timers and control equipment (and even the odd CFL) they are affordable, effective and easy to install options. As a bonus, almost all UPS units handle power conditioning- rectifying voltage irregularities and even covering for very short duration power outages of a second or less- which has obvious benefits of saving sensitive electronics.