I think I understand your question. If not, let me know.
Active voice present particles pretty much always work, as long as the subject of the main clause also performs to action described in the participle.
Punishing the young child, he turned red in the face.
Wanting to see a Yankees’ game, John booked a flight to New York.
Enjoying the sight of fresh flowers, Linda went to the florist each week.
Active voice past participles generally require the perfect tense when the subject of the main clause also performs the acting of the participle.
Having punished the young child too severely, the father apologized.
Having seen a bear on his previous outing, the camper looked carefully in all directions.
Simple past particles seem to be naturally passive, because the subject of the main clause is the recipient of the action of the participle.
Caught by the tide, the swimmer began drifting out to sea.
Punished by the enemy for several years, the soldier was glad to be free.
Sighted by the rescue team, the hikers soon found themselves at a local hospital.
This is also consistent with the use of the past participle, along with the verb to be, as a way of forming the passive voice.
Obama was elected. John was promoted. Mary was taken prisoner.