Is there a name/word for this type of dream?

I have this one particular type of dream from time to time. It usually happens during a nap (as opposed to during my night's sleep), and it often happens when I'm about to get sick. Basically, I'll dream that I am awake, but I can't open my eyes (but I can still see?) and I don't have much control over my movements or speech. First, I'll dream that I'm lying flat on the bed, but my entire body is spinning around (like my head will go from the pillow to the foot of the bed and then back), and I can't control it or stop it. Then, I'll try to grab at something or inch myself off the bed, but my muscles are so weak, and I move so slowly. Sometimes, I will end up on the floor and have to inch myself along the floor. Often, there will be something scary that happens at this point, like I hear someone come into my apartment but I don't know who it is, and I'm worried that it's an intruder. The weird thing about these dreams is that I sort of know that I'm dreaming, but I also think that I'm awake. I don't really know how to explain that. It's like I know that I'm asleep, but I also believe that everything that's happening is real (like I'm really spinning in real life, I'm really scooting along the floor). I hope that makes a little sense. Anyways, these dreams are so disturbing to me, and I always wake up very freaked out and feeling bad. I'm just wondering if anyone else has dreams like this, and also, is there a special name for this type of dream?