This is a common misconception. Miners have no control over: 1. The exchange rate (price) of Bitcoin; or (2) The fees.

So who has control? The answer to both questions is: "The market."

The actual fees are set by the people who create transactions. That is, the people who send bitcoin, meaning you and me. Perhaps not completely, since we use wallets, and most wallets are very "helpful" in calculating the appropriate fee. The publishers of the wallet software could have more influence on fees, but only when they work together, because if everyone else is sending a higher fee, then your transaction will never get confirmed.