"my perceived" is correct and can be used in written English.
You can use it when you are expressing what you think of a certain situation. For example: "My perceived role in the team was to be a problem-solver."
Becoming increasingly agitated by my perceived insolence, this short, square-faced man reached inside his jacket.
The appropriately named Mr Stout was full of contempt for my perceived cowardice.
Here is an inventory of my perceived possessions before I moved and what I realized I actually own.
Every one of my perceived talents is magnified, and I am frequently urged to "read the paper!
I gather it is because of my perceived identity as a dance artist whose concerns transcend the confines of dance.
"I believe my perceived weakness has given me great strength and my big thing is finding a way," he says.
I couldn't have anticipated that my perceived identity would shift so much depending on where I was.
As things began to shift in this way, so did my perceived role within the scientific community.
I spent afternoons in my bedroom closet pawing glow-in-the-dark rosaries as I sought atonement for my perceived misdeeds.
My brain will replay my perceived humiliation on an endless loop until I am certain I can never return to the scene of my crime.
Suspended in the dead man's float, I relinquished my perceived hold over the world, and made peace with things I could not change.
