A system includes a motor configured to be coupled to a non-rigid load and a control system disposed within, or communicatively coupled to, a drive system configured to control an operation of the motor. The control system includes a processor and a memory accessible by the processor. The memory stores instructions that, when executed by the processor, cause the processor to generate a smooth move input profile to control the operation of the motor based on inputs specifying a desired operation of the motor, apply a notch filter having a notch filter frequency to the smooth move input profile to produce a filtered smooth move input profile, and send a command to the drive system based on the filtered smooth move input profile, wherein the command is configured to adjust the operation of the motor.

A drive system (10), in particular for process automation, includes: a trajectory planning unit (3), which is adapted to provide a trajectory signal (xd) on the basis of a setpoint signal (xs), and an actuator unit (2) having an actuator member (1), in particular a valve member, which actuator unit (2) is adapted to control and/or regulate a position of the actuator member (1) on the basis of the trajectory signal (xd). The trajectory planning unit (3) is adapted to provide the trajectory signal (xd) with a first signal section (s1) and a second signal section (s2), the first signal section (s1) having a straight signal form and the second signal section (s2) having a signal form asymptotic to the setpoint signal (xs).

One embodiment of the present invention can be characterized as a method for controlling a multi-axis machine tool that includes obtaining a preliminary rotary actuator command (wherein the rotary actuator command has frequency content exceeding a bandwidth of a rotary actuator), generating a processed rotary actuator command based, at least in part, on the preliminary rotary actuator command, the processed rotary actuator command having frequency content within a bandwidth of the rotary actuator and generating a first linear actuator command and a second linear actuator command based, at least in part, on the processed rotary actuator command. The processed rotary actuator command can be output to the rotary actuator, the first linear actuator command can be output to a first linear actuator and the second linear actuator command can be output to a second linear actuator.

A method is provided for vibration suppression, which is useful in systems with configuration dependent dynamic parameters. The method is a general and practical solution for obtaining a set of inputs to a dynamic system, which will result in reduced vibrational behavior. A novel discrete time buffer implementation is employed, which yields reduced vibration due to a constant unity sum of applied impulses. The method includes shaping a position input with a continuously updated filter and using numerical differentiation to obtain consistent feedforward derivatives without phase shift.

One embodiment of the present invention can be characterized as a method for controlling a multi-axis machine tool that includes obtaining a preliminary rotary actuator command (wherein the rotary actuator command has frequency content exceeding a bandwidth of a rotary actuator), generating a processed rotary actuator command based, at least in part, on the preliminary rotary actuator command, the processed rotary actuator command having frequency content within a bandwidth of the rotary actuator and generating a first linear actuator command and a second linear actuator command based, at least in part, on the processed rotary actuator command. The processed rotary actuator command can be output to the rotary actuator, the first linear actuator command can be output to a first linear actuator and the second linear actuator command can be output to a second linear actuator.

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 control apparatus for a welding tool includes a determination module for determining a normalized displacement signal, in which a deflection of a tong-shaped tool, due to an effect of a mechanical force generated on the tool during a work process using the tong-shaped tool, is compensated for. The control apparatus further includes a force regulation module for regulating a progression of the force which the tong-shaped tool applies to at least one component during the work process on at least one component. The force regulation module is configured to regulate the progression of the force during the work process based on the normalized displacement signal.

Input shapers for control inputs to the robotic surgical system and their method of controlling a linkage of a robot with a controller includes receiving a desired joint angle of a joint of the robot; and transmitting a first control signal to a motor to actuate the joint in response to a desired joint velocity, the desired joint velocity being a function of the desired joint angle and a current joint angle of the joint.

One embodiment of the present invention can be characterized as a method for controlling a multi-axis machine tool that includes obtaining a preliminary rotary actuator command (wherein the rotary actuator command has frequency content exceeding a bandwidth of a rotary actuator), generating a processed rotary actuator command based, at least in part, on the preliminary rotary actuator command, the processed rotary actuator command having frequency content within a bandwidth of the rotary actuator and generating a first linear actuator command and a second linear actuator command based, at least in part, on the processed rotary actuator command. The processed rotary actuator command can be output to the rotary actuator, the first linear actuator command can be output to a first linear actuator and the second linear actuator command can be output to a second linear actuator.

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.