Abstract: Grade control systems and methods for an earthmoving machine and control architecture to generate a continuous differential surface associated with a rear curved surface of an earthmoving implement, project the continuous differential surface onto a two-dimensional (2D) plane associated with the earthmoving implement, determine a piecewise-derivative continuous curve based on the continuous differential surface projected on to the 2D plane, determine a derivative of the piecewise-derivative continuous curve, project a design plane normal n* of a ground surface for smoothing onto the 2D plane associated with the earthmoving implement, determine a point of perpendicular intersection between the derivative of the piecewise-derivative continuous curve and the design plane normal n* of the ground surface projected onto the 2D plane, and operate the earthmoving machine using one or more linkage assembly actuators and the point of perpendicular intersection to smooth the ground surface.

Abstract: Systems and methods for tracking a heading of an excavator are provided. An initial heading of the excavator platform is obtained and a current azimuthal orientation of the excavator platform is associated with the initial heading. Coordinates of a measurement center of the GNSS device are obtained. Coordinates of a center of rotation of the excavator platform are determined using the initial heading of the excavator platform, the coordinates of the measurement center, and a known spatial relationship between the measurement center of the GNSS device and the center of rotation of the excavator platform. Rotation of the excavator platform is tracked from the initial heading to a first heading using rotation measurements from a swing sensor.

Abstract: Systems and methods for tracking a heading of an excavator are provided. An initial heading of the excavator platform is obtained and a current azimuthal orientation of the excavator platform is associated with the initial heading. Coordinates of a measurement center of the GNSS device are obtained. Coordinates of a center of rotation of the excavator platform are determined using the initial heading of the excavator platform, the coordinates of the measurement center, and a known spatial relationship between the measurement center of the GNSS device and the center of rotation of the excavator platform. Rotation of the excavator platform is tracked from the initial heading to a first heading using rotation measurements from a swing sensor.

Abstract: Systems and methods for tracking a heading of an excavator are provided. An initial heading of the excavator platform is obtained and a current azimuthal orientation of the excavator platform is associated with the initial heading. Coordinates of a measurement center of the GNSS device are obtained. Coordinates of a center of rotation of the excavator platform are determined using the initial heading of the excavator platform, the coordinates of the measurement center, and a known spatial relationship between the measurement center of the GNSS device and the center of rotation of the excavator platform. Rotation of the excavator platform is tracked from the initial heading to a first heading using rotation measurements from a swing sensor.

Abstract: Systems and methods for tracking a heading of an excavator are provided. An initial heading of the excavator platform is obtained and a current azimuthal orientation of the excavator platform is associated with the initial heading. Coordinates of a measurement center of the GNSS device are obtained. Coordinates of a center of rotation of the excavator platform are determined using the initial heading of the excavator platform, the coordinates of the measurement center, and a known spatial relationship between the measurement center of the GNSS device and the center of rotation of the excavator platform. Rotation of the excavator platform is tracked from the initial heading to a first heading using rotation measurements from a swing sensor.