Modeling of Continuum Manipulators Using Pythagorean Hodograph Curves

Area of Science:

• Bionic Robotics
• Continuum Manipulators
• Robotics Control

Background:

• Continuum manipulators offer advantages over rigid robots but present control challenges due to their inherent flexibility.
• Accurate behavioral modeling is crucial for developing effective control strategies for these soft robots.
• Existing kinematic modeling often simplifies behavior by assuming constant curvature.

Purpose of the Study:

• To propose a quantitative kinematic modeling method for continuum manipulators using Pythagorean hodograph (PH) curves.
• To achieve a three-dimensional shape reconstruction of continuum manipulators with variable curvature.
• To enable the calculation of the inverse kinematic model (IKM) for improved robot control.

Main Methods:

• Developed a quantitative kinematic model based on Pythagorean hodograph (PH) curves.
• Focused on variable curvature modeling for enhanced shape reconstruction.
• Calculated the inverse kinematic model (IKM) for the continuum manipulator.

Main Results:

• The PH-based kinematic modeling significantly improves position accuracy and shape reconstruction.
• This method offers considerable time and cost benefits compared to other kinematic modeling approaches.
• The model demonstrated strong performance in both free load and variable load manipulation scenarios.

Conclusions:

• Pythagorean hodograph curves provide an effective method for accurate kinematic modeling of continuum manipulators.
• The proposed approach enables precise 3D shape reconstruction and inverse kinematic calculations.
• This research advances control strategies for bionic robots by providing a robust kinematic model.