I am in Canada. The rent is allowed to be increased only ONCE per year. And normally the increase percentage should not be exceed the inflation rate for the year. Any addiional increase such as due to the extra property tax paid by the landlord, etc. should be approved by certain arthority agencies ( like landlord and tenancy board, etc). Otherwise, you can reject the increase, they are not able to evit you because of this.
Since you are in US. The law may be different, but I beleve there're some protection for the tenants per Act. You should review the related regulations, such as Tenancy Act ( I beleieve there's one for your state) to find out.