Kinematic Trajectory Planning With Pose-Speed Presets

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Solution Overview

Problem

The challenge in robotics is to handle speed presets effectively when determining trajectories in pose space, as existing methods struggle to maintain consistent speed in three-dimensional space, leading to uneven movements and complicating the handling of speed presets.

Innovation Solution

A method is introduced to determine a trajectory by obtaining a maximum speed and path in pose space, and then determining a set of points in the working space based on a metric, ensuring that the pose speed is adapted to the application, with the trajectory being calculated to maintain speeds that are less than or equal to the maximum speed, while also considering pose acceleration and jerk.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Speed

If speed presets are applied directly in pose space without adaptation, then the maximum speed is maintained, but the robot exhibits uneven movements in three-dimensional space

Engineering Contradiction:
Improvemaximum speedVSAvoidmovement uniformity
Core Design Contradiction:
SpeedVSStability of the object's composition

Solution Approach 1:

The patent transforms the speed control parameter from pose space to working space by defining a pose metric based on working space points. This parameter transformation ensures that speed limits defined in three-dimensional physical space are correctly reflected in pose space, eliminating uneven movements while maintaining the maximum speed constraint.

Inventive Principle:
Principle #35Parameter changes

2Stability of the object's composition

If a metric-based approach is used to adapt pose speed to working space points, then movement uniformity is improved, but the device complexity increases

Engineering Contradiction:
Improvemovement uniformityVSAvoidtrajectory calculation complexity
Core Design Contradiction:
Stability of the object's compositionVSDevice complexity

Solution Approach 1:

The patent pre-defines a pose metric based on a set of working space points before trajectory calculation. This preliminary setup creates a reusable mapping between pose space and working space, allowing subsequent trajectory calculations to efficiently enforce speed constraints without complex real-time computations during motion execution.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS20240399575A1Speed presets for determining the trajectory of kinematics
Publication Date: 2024.12.05 PHYSIK INSTRUMENTE (PI) GMBH & CO KG
  • US20240399575A1 patent drawing
  • US20240399575A1 patent drawing
  • US20240399575A1 patent drawing

AI summary

A method for determining a trajectory in a pose space of kinematic in accordance with a given path of the trajectory is provided. The trajectory is to be traversed here by the kinematic for a certain application. A set of points in the working space of the kinematic, on which a metric of the pose space to be used for determining the trajectory is based, is determined based on the application. Based on the path, the trajectory is determined in such a way that, when the kinematic traverses the trajectory, a pose speed that is based on the metric is smaller than or equal to a predefined maximum speed.