The phrase "a certain history" is correct and usable in written English.
It can be used when referring to a specific but unspecified history that is relevant to the context.
Example: "The town has a certain history that is often overlooked by tourists."
Alternatives: "a particular history" or "a specific history".
We have a certain history and other teams look at us with a certain respect".
A proper Derby, Mr. Ha maintained, required a certain history of abuse.
"And so you have a certain history, where either they trust your judgment and confidentiality or they don't".
"There is a certain history that the historians know about and artists, I think, know less about," Ms. Morrison said.
"We do have to be a little careful because our franchise does have a certain history with respect to late-season swoons," he said.
Federer and Djokovic have not always seen eye to eye – Federer once told Djokovic's parents to be quiet during a match – and they have a certain history at Flushing Meadows.
Ten years later it is finally, at a certain level, history.
But in the land of the Boston Tea Party, the drink has a certain unconventional history to live up to.
The law in my state also subjects repeat offenders, once they accumulate a certain criminal history, to drastically increased sentences, even for nonviolent crimes.
SEX magazines may never have produced the equivalent of a Dashiell Hammett or a Jim Thompson, the way Black Mask and True Detective magazines did, but they are not without a certain storied history, much of it centered in New York.
Biological-sedimentary impact on various plants or plants in different positions under a certain geological history causes the differences of coal quality (expressed in ultimate content), coal petrology (expressed in maceral composition) and ash contents (obtained from proximate composition analysis).
