In a small bowl, combine brown sugar with balsamic vinegar and spices. Rub the chops with the mixture. Brush with olive oil on both sides.
Heat your grill pan (or regular pan). Fry pork chops for 5 minutes on medium heat for about 5 minutes per side (thicker chops will take about 8-10 minutes per side).
Turn the heat off, cover the pan and let chops sit for 8-10 minutes. You can deglaze the sauce, if you like, and pour it over chops.