Yes, I'm aware. However, I'm referring more to a consensus algorithm which prevents a coin split. Considering how Bitcoin Cash's hard fork became controversial causing the blockchain to split into two distinct cryptocurrencies, it seems that PoW could easily cause the division of a specific cryptocurrency's blockchain. Of course, a split is different from obtaining another cryptocurrency's source code and making a separate blockchain of your own.
When you fork from source, you're simply copying the code and modifying it for your own independent cryptocurrency. However, when a split occurs, all the transaction history and attributes of the original blockchain would get passed to the newly splintered chain. In my opinion, this could become disastrous as it could render both chains completely useless (like in the case of BCH).
That's why, I'm looking into which consensus algorithm prevents a split or fork from occurring (or at least reducing it at a minimum) for my own cryptocurrency. According to my knowledge, PoW-based cryptocurrencies could easily become splintered into two (or more) iterations. However, I haven't heard the same case of other algorithms such as PoS or DPoS. Do this mean that PoS or DPoS cannot cause a split? Could someone enlighten me with this?