You must be puzzling over this long puzzling name, so I'll give you a hand. Zhabdrung isn't a name! It's a title for great lamas (high monks). So, Zhabdrung Ngawang Namgyal came to Bhutan in 1616 A.D. He built many dzongs: the Trongsa Dzong, the Paro Rinpung Dzong, the Punakha Dzong, Simtokha Dzong and more. Zhabdrung is said to be the third most revered person in Bhutan, after Guru Rinpoche and Lord Buddha.
He was a wonderful leader of the Bhutanese, and he ought have been king.