When I had an investment property I put the rent up a small amount, usually $10, every lease renewal which was every 12 months, tenant didn't complian about this or move out, it was reasonable given that other expenses had gone up - council rates, water rates etc and I had installed a wall air conditioner which cost us over $1000. We had a good tenant and in return we were good landlords.
It is unrealistic to expect the rent not to go up at all, but huge increases of up to $200 a week?????