Can I connect a stabilizer to an inverter?
Yes you can, but the order should be- mains to stabilizer to inverter. This way the inverter input would receive 220-240 volts. Apart from giving you good output voltage during mains on, this arrangement would also charge your batteries faster. Make sure to buy a good stabilizer with twice the wattage of your inverter. A 2 KVA Godrej or Vguard stabilizer would do fine. I have been using 3 inverters with this arrangement for 10+ years with no issues. But never connect a stabilizer to the output of your inverter as this may damage your inverter.