"I haven't felt tired" means that LATELY you haven't felt tired (e.g., "I've only been sleeping 5 hours a night this week, but I haven't felt tired").
"I haven't felt tired yet" means the same thing. However, if you change it to, "I don't feel tired yet" this would mean that the activity you are doing AT THE MOMENT is not making you tired (e.g., "I've been on this treadmill for 20 minutes, but I don't feel tired yet").