Do not confuse the English absolute (correct standard grammar) with the dreaded "dangling participle." In English, we typically used participles to modify nouns:
e.g.: "Waiving her hand, the Queen greeted her well-wishers."
In this sentence the participle "waiving" modifies the subject "the Queen" (and takes the object "her hand"). When participles "dangle" they don't modify the subject of the sentence. Here are some examples: