Systems and methods are disclosed that utilize a robotic device supporting and moving a cutting tool in at least three degrees of freedom. A control system commands the robotic device to control or constrain movement of the cutting tool. A first tracker is coupled to the robotic device and a second tracker is coupled to an anatomy. The second tracker includes three markers that generate optical signals and a non-optical sensor that generates non-optical signals. A navigation system with an optical sensor is in communication with the control system. The navigation system receives, with the optical sensor, the optical signals from one or more of the three markers and receives the non-optical signals from the non-optical sensor. The navigation system communicates position data indicative of a position of the anatomy to the control system to control cutting of the anatomy based on the received optical and non-optical signals.
