Is there a "stablecoin" based on "proof of stake (PoS)"? Is it possible to create such a cryptocurrency?

According to Wikipedia: “Stablecoins are cryptocurrencies designed to minimize the volatility of the price of the stablecoin, relative to some “stable” asset or basket of assets.” & “A Proof-of-Work (PoW) system (or protocol, or function) is a consensus mechanism. It deters denial of service attacks and other service abuses such as spam on a network by requiring some work from the service requester, usually meaning processing time by a computer.”
Are these two concepts compatible? What could be the advantages and disadvantages of a proof-of-stake stablecoin if it existed/exists?