'regulatedly' originates from Modern English, formed from the past participle adjective 'regulated' + the adverbial suffix '-ly'. 'Regulate' ultimately comes from Latin 'regula' meaning 'rule' via Medieval Latin and Old French.

'regulate' changed from Latin/Medieval Latin 'regulatus' (past participle of 'regulare') into Old French forms and entered Middle English as 'regulaten'/'regulate'; the past-participle/adjective 'regulated' developed, and adding the Old English-derived adverbial suffix '-ly' produced 'regulatedly' in Modern English.

Initially related to 'rule' or 'measure' (from 'regula'), the term's core sense of bringing into conformity with rules has been retained; the adverbial form came to mean 'in a manner consistent with rules or control' or more generally 'in a regulated/regular way'.