Hello,
Excessive eye blinking can be due to dryness in your eyes. Some antidepressants and antipsychotic medicines can cause dryness of eyes. So start by using a lubricant eyedrop, (lubrex, justears), if your symptoms improve then it is indeed dryness.
If instead you feel drowsy then it is due to your medicines.
Next Steps
lubrex eyedrops one drop each eye 6 times a day