If you agree to participate in this research study, you are agreeing to undergo the screening tests, possibly have the renal denervation procedure, and return for follow-up visits for up to 3 to five years, as described in this consent. If you are initially given the renal denervation procedure, you will be followed for 36-months. If you are initially randomized to the control arm, details below, you may have the option to have it approximately 6 months after the initial procedure. After the crossover procedure, you will be followed for 36-months from that time. (Some subjects may be offered the crossover procedure as late as 36-months into the follow up time period). For those subjects, they will need to be followed for an additional 36-months if the crossover procedure occurs, which results in six years of follow up.)