Rent control in California is by Municipal Ordinance. Therefore, exactly what city you live in determines if you are under rent control.
You also didn't say if your rent is protected by a lease, or if you are under month-to-month agreement. M/M, your rent can be raised anytime with 30 days notice, and excepting rent control, without giving a reason. After all, if the landlord has expenses, who do you think ultimately pays? (Pay me now, or pay me later).
If Rent Control would allow passing on this repair to tenants depends on exactly you R/C ordinance, if you have one.
You can always discuss the matter with the landlord, but ultimately his expenses have to be paid by someone. However, $85/month is $1020 in just the first year. Maybe you can convince him to charge you monthly until the cost is paid off, and then revert to the original price.
However, the other side of this is that, at least in California, right now is a time of rapidly rising rents so that he may be able to get $85 or even more per month just by re-renting.