Efficient formulation of the force distribution equations for general tree-structured robotic mechanisms with a...

Area of Science:

• Robotics
• Mechanical Engineering
• Control Systems

Background:

• Force distribution is crucial for controlling complex robotic mechanisms.
• Existing methods may lack efficiency or applicability to general tree-structured systems.
• Robotic platforms like walking machines and modular vehicles present unique force distribution challenges.

Purpose of the Study:

• To develop an efficient and systematic formulation for force distribution in general tree-structured robotic mechanisms.
• To incorporate joint torque and contact friction constraints into the formulation.
• To provide a computationally efficient algorithm suitable for real-time implementation.

Main Methods:

• Derivation of force balance equations using a recursive and computationally efficient algorithm.
• Integration of joint torque and contact friction constraints.
• Application of standard optimization techniques (linear/quadratic programming) for solution finding.

Main Results:

• An efficient algorithm for force distribution in tree-structured robotic mechanisms was formulated.
• The algorithm successfully incorporated joint torque and contact friction constraints.
• Real-time execution was demonstrated on an actively articulated wheeled vehicle.

Conclusions:

• The proposed formulation provides an efficient and systematic approach to force distribution for complex robotic systems.
• The developed algorithm is computationally efficient and suitable for real-time control applications.
• This work advances the control capabilities of modular and articulated robotic platforms.