A method for minimizing tracking errors in dynamic systems including obtaining desired trajectory data of the dynamic system, obtaining a set of constraints on at least one of the desired and actual trajectories of the dynamic system, obtaining a set of uniform or non-uniform rational B-splines having known original B-spline basis functions but unknown B-spline coefficients, applying a trajectory optimization process to the desired trajectory data including applying forward filtering to B-spline basis functions and utilizing the original and filtered B-spline basis functions to select optimal coefficients of the B-splines, and outputting an optimal motion command signal in response to the trajectory optimization process to the dynamic system such that a resultant actual trajectory is substantially equal to the desired trajectory while satisfying the set of constraints on the at least one of the desired and actual trajectories.

A system adjusts detection parameters used to process a signal from a PIR sensor to reduce false triggers. A detection module receives a sensor output signal from a PIR sensor and inputs from environmental sensors, including a temperature sensor. The detection module adjusts detection parameters of a bandpass filter and/or a thresholod comparison module based on the inputs from the environmental sensors. The detection module generates a motion presence signal that indicates whether motion has been detected and that compensates for external environmental factors.

Systems, apparatus, and methods related to an automated footwear platform including motor control techniques. The motor control techniques can include operations such as segmenting a pre-defined travel distance, defining a plurality of moves, creating a plurality of motion profiles, and commanding movements. The plurality of moves can utilize the segmented travel distance for a drive mechanism associated with the footwear platform. Each motion profile of the plurality of motion profiles can include one or more moves from the plurality of moves. Commanding movement of the drive mechanism can be based on selection of one or more motion profiles from the plurality of motion profiles.

Systems, apparatus, and methods related to an automated footwear platform including motor control techniques. The motor control techniques can include operations such as segmenting a pre-defined travel distance, defining a plurality of moves, creating a plurality of motion profiles, and commanding movements. The plurality of moves can utilize the segmented travel distance for a drive mechanism associated with the footwear platform. Each motion profile of the plurality of motion profiles can include one or more moves from the plurality of moves. Commanding movement of the drive mechanism can be based on selection of one or more motion profiles from the plurality of motion profiles.

A system for controlling an electric motor which includes three coils and a rotor, comprising a motion-profile-generator for generating a rotor-motion-profile and for producing a position-command, a position-controller for determining a velocity-command and a position-feedforward, for determining a forward-velocity according to the prediction of the velocity required to reach said posit ton-command. The system further includes a first summer for producing a modified velocity, a velocity controller, for determining a current-command, a velocity feedforward, for determining a forward-current and a second summer for producing a modified-current. The system also includes a commutator, for determining respective modified-coil-currents for each of at least three current-control-loops and for dividing said modified-coil-currents between the said current-control-loops according to the position of said rotor. Each current-control-loop includes a current-controller, for determining a respective voltage-command for the respective coil thereof an h-bridge for providing said voltage command to the respective coil thereof.

A method for operating a technical system, an apparatus and method for determining a movement profile, control apparatus and the actual technical system that includes at least one drive to move at least one axis, wherein at least one optimized movement profile of the axis is calculated with the aid of an optimization method that calculates an optimized movement profile with reference to preset points of a movement profile and/or preset regions of the movement profile, where for simplified and particularly understandable use, the optimization method includes physical boundary conditions from the start of the optimization method, where the use and initialization of the technical system by the user is made more understandable, for example, and where the optimized movement profile is used to control the at least one drive of the technical system.

A system for controlling an electric motor which includes three coils and a rotor, comprising a motion-profile-generator for generating a rotor-motion-profile and for producing a position-command, a position-controller for determining a velocity-command and a position-feedforward, for determining a forward-velocity according to the prediction of the velocity required to reach said position-command. The system further includes a first summer for producing a modified velocity, a velocity controller, for determining a current-command, a velocity feedforward, for determining a forward-current and a second summer for producing a modified-current. The system also includes a commutator, for determining respective modified-coil-currents for each of at least three current-control-loops and for dividing said modified-coil-currents between the said current-control-loops according to the position of said rotor. Each current-control-loop includes a current-controller, for determining a respective voltage-command for the respective coil thereof an h-bridge for providing said voltage command to the respective coil thereof.

A method for minimizing tracking errors in dynamic systems including obtaining desired trajectory data of the dynamic system, obtaining a set of constraints on at least one of the desired and actual trajectories of the dynamic system, obtaining a set of uniform or non-uniform rational B-splines having known original B-spline basis functions but unknown B-spline coefficients, applying a trajectory optimization process to the desired trajectory data including applying forward filtering to B-spline basis functions and utilizing the original and filtered B-spline basis functions to select optimal coefficients of the B-splines, and outputting an optimal motion command signal in response to the trajectory optimization process to the dynamic system such that a resultant actual trajectory is substantially equal to the desired trajectory while satisfying the set of constraints on the at least one of the desired and actual trajectories.

A method of altering a rate of executing a motion plan by a computer-numerically-controlled machine can include: receiving, at a control unit of a computer-numerically-controlled machine and from a general purpose computer that is housed separately from the computer-numerically-controlled machine, a motion plan defining operations for causing movement of a moveable component of the computer-numerically-controlled machine; and altering, in response to a command received at the computer-numerically-controlled machine, a first execution rate of the operations to a second execution rate of the operations to change a rate of movement of the movable component. Systems and articles of manufacture, including computer program products, are also provided.

A method for optimizing at least one motion profile, a computer program product for performing the method and a related control device for this purpose, wherein commencing from a master motion profile, at least one slave motion profile describes a motion of an actuator, the respective slave motion profile being connected via a cam disk function and/or a kinematic transformation, where the motion profiles are divided into areas, based constraints of slave motion profiles, the maximum speed of the master motion profile is computed for each area, a difference between the highest and the lowest maximum speed is selected, the area having the highest maximum speed is subsequently reduced, and the area having the lowest maximum speed is enlarged, until the difference between the two maximum speeds is less than a tolerance.