Have You Ever Experienced False Awakening Dreams?

I've started experiencing them within the last year or so. It's almost always about me "waking up" in my bedroom but something's off. Then, realizing in the dream that it's a dream, I attempt to wake up only for me to wake up in another similar dream. When I finally wake up for real, the first thing I do is look outside my window that faces a busy major street and look for my cat to affirm that this is the real world. I wonder if you have experienced such dreams and what were they like?