I don't think you will have any problems with most medications. You can generally take any prescription or non-prescription medication for your own use without problem. Unless it is some narcotic that might set off the drug scanning equipment, the medication should not be an issue. Even if it is a narcotic, it would normally be accepted if it is in a pharmacy bottle with your name and the prescribing doctor's name on it.
If you are carrying some prescription medications that are narcotic or are in injectable syringes such as insulin, it is usually a good idea to tell the security screeners that you are carrying such items. If the medications are in your carry-on luggage, you should place all bottles of liquids in a one liter plastic bag and lay the bag on the outside of your luggage when clearing security.