Currently the state law only requires advance notice if rent increase is 10% or more. There is no limit on rent increase.
Rent control are not set up at state level, rather it's defined in local counties and cities.
There are some state limits on local rent control.
See this article.
https://la.curbed.com/2018/1/12/16883276/rent-control-california-costa-hawkins-explained
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