This is an interesting topic. Eviction inflicts a disproportionate harm to those least-equipped to bear it. While rent-control inflicts a purely proportional harm to those best-equipped to bear it. But rent-control also inflicts a difficult-to-characterize harm in the form of stagnant rental construction.
I would be totally cool with a city deciding to make the first tradeoff as a public policy goal, if the construction stagnation (across all rates) could be mitigated. Have there been any successful experiments in that area (I'm only familiar with the craziness of NYC's implementation)?