You do not need a permit to bring in most prescription medicines even if they contain a controlled substance because such imports are generally covered by a traveller exemption scheme.
Prescription medication can be imported under a traveller exemption, provided that: you are arriving in Australia as a passenger on board a ship or aircraft the medicine is carried in your accompanied baggage you carry a letter or copy of your prescription (written in English) from your doctor to certify that the medicine has been prescribed to you to treat a medical condition the quantity of the medicine does not exceed three months supply.
You should leave your medicine in its original packaging and declare it to the Australian Border Force when you arrive.If you run out of medication, you will need to either see a doctor to discuss your options for procuring a further supply locally.
If your medication is not currently registered for use in Australia (e.g. Adderall®,), then contact the Drug Control Section (DCS@health.gov.au) for further instructions.
Declare your medication to the Australian Border Control.
Drug Control Section (DCS@health.gov.au)