Hi Mimi! First of all, “ground” is uncountable, so you need to say, “rugged ground.” This means ground that is very rough, uneven, irregular, or rocky. Rugged can be used to talk about the general condition of a person or thing.
“Ragged” is close in meaning. It normally refers to an edge that is rough and uneven, such as “a ragged dress.” A good synonym is “tattered.” That tells us that the hem and the ends of the sleeves are irregular, torn, and in bad condition. You couldn’t say, “a rugged dress.”
I checked the Oxford English Dictionary, and it said that “ragged ground” is possible, but it sounds strange to me. “A ragged cliff” sounds good, because cliffs have an edge.