Basically you mint only a fraction of your collateral (typically 15%), so even a huge downturn of the price won't leave anybody hanging, and you provide a set of incentives for the owners of the collateral to adjust their staking depending on the price you are trying to follow.
It's not too complex, and seems to me way better than trusting tether and Co.
I can support $1Bn of stablecoin if I have $1Bn of USD in reserve, but to support $1Bn of stablecoin in this case I'd need $6.7Bn of BTC in reserve. Sounds expensive surely?