Advancements in Robotics: Quaternion Methods and Observability

The recent publications in the field of robotics and control systems highlight significant advancements in manipulator control, inverse kinematics solutions, and observability analysis. A notable trend is the increasing use of quaternion-based methods for orientation control and pose estimation, offering solutions free from singularities and enabling full operational envelope movements. Innovations in inverse kinematics focus on overcoming challenges near kinematic singularities through analytically informed methods, ensuring robust and computationally efficient solutions. Additionally, there's a growing interest in functional observability of nonlinear systems, with novel approaches for designing functional observers that feature linear error dynamics and assignable poles, enhancing the precision and reliability of system estimations.

Noteworthy Papers

  • Quaternion Sliding Variables in Manipulator Control: Introduces singularity-free quaternion-based sliding variables for global exponentially convergent error dynamics in manipulator orientation control.
  • Analytically Informed Inverse Kinematics Solution at Singularities: Proposes an AI-IK method combining analytic and numeric approaches to solve IK problems near singularities effectively.
  • On Functional Observability of Nonlinear Systems and the Design of Functional Observers with Assignable Error Dynamics: Develops a novel functional observer design for nonlinear systems with assignable poles, improving system observability and control.
  • Relative Pose Observability Analysis Using Dual Quaternions: Utilizes dual quaternions for relative pose estimation, demonstrating simplified observability matrix structures beneficial for analysis.

Sources

Quaternion Sliding Variables in Manipulator Control

Analytically Informed Inverse Kinematics Solution at Singularities

On Functional Observability of Nonlinear Systems and the Design of Functional Observers with Assignable Error Dynamics

Relative Pose Observability Analysis Using Dual Quaternions

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