Here are some examples:
* Me gusta madrugar para disfrutar del amanecer. (I like to wake up early to enjoy the sunrise.)
* El madrugado es un momento tranquilo para trabajar. (The early morning is a calm time to work.)
* Se quedó trabajando hasta el madrugado. (He stayed working until early morning.)
It's important to note that "madrugado" can also be used in a more figurative sense to refer to the early stages of something, like a project or a relationship.
For instance, you might say:
* En el madrugado de la relación todo era perfecto. (In the early stages of the relationship, everything was perfect.)