Robotic-assisted beating heart surgery aims to allow surgeons to operate on a beating heart without stabilizers as if the heart is stationary. The robot actively cancels heart motion by closely following a point of interest (POI) on the heart surface - a process called active relative motion canceling. Due to the high bandwidth of the POI motion, it is necessary to supply the controller with an estimate of the immediate future of the POI motion over a prediction horizon in order to achieve sufficient tracking accuracy. In this paper, two least-squares-based prediction algorithms, using an adaptive filter to generate future position estimates, are implemented and studied. The first method assumes a linear system relation between the consecutive samples in the prediction horizon. On the contrary, the second method performs this parametrization independently for each point over the whole the horizon. The effects of predictor parameters and variations in heart rate on tracking performance are studied with constant and varying heart rate data. The predictors are evaluated using a three-degree-of-freedom (DOF) test bed and prerecorded in vivo motion data. Then, the one-step prediction and tracking performances of the presented approaches are compared with an extended Kalman filter predictor. Finally, the essential features of the proposed prediction algorithms are summarized.

In order to perform coronary artery bypass graft surgery, a stationary heart is necessary. A human cannot achieve manual tracking of the complex heartbeat motion. Robotics technology can overcome such limitations. In the robotic-assisted beating heart surgery, the robot actively cancels heart motion by closely following a point of interest on the heart surface-a process called active relative motion canceling. As a result, surgeon can operate on the beating heart as if it is stationary. In this paper, a generalized estimation algorithm, that uses an adaptive filter to generate future position estimates is studied. The predictor is parameterized on-line and adaptively to minimize the prediction error in the mean-square sense. The predictor is evaluated using a 3-degree- of-freedom test-bed system and prerecorded heart motion data.

Robot assisted heart surgery allows surgeons to operate on a heart while it is still beating as if it had been stopped. The robot actively cancels heart motion by closely following a point of interest (POI) on the heart surface -- a process called active relative motion canceling (ARMC). Due to the high bandwidth of the POI motion, it is necessary to supply the controller with an estimate of the immediate future of the POI over a prediction horizon. In this paper, a prediction algorithm, using an adaptive filter to generate future position estimates, is implemented and studied. The effects of predictor parameters on tracking performance are studied. Finally, the predictor is evaluated using a 3 degrees of freedom test-bed and prerecorded heart motion data.