On a Balanced Delta Robot for Precise Aerial Manipulation: Implementation, Testing, and Lessons for Future Designs

Clark, Angus B.; Baron, Nicholas; Orr, Lachlan; Kovač, Mirko; Rojas, Nicolás

doi:10.1109/iros47612.2022.9981736

Cited by 1 publication

(1 citation statement)

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“…Some inverse kinematic control algorithms such as the ones based on the Generalized Jacobian [12] account for the base motions caused by the manipulator, and an adaptation of the Generalized Jacobian for aerial manipulation is presented in [13]. Other methods address the issue at a mechanical design level, through counter-balancing arms or masses [14,15]. There are various methods of formulating the inverse kinematics of a redundant space manipulator as a linear algebraic problem to be solved at each time step [10,16].…”

Section: Introductionmentioning

confidence: 99%

Null-Space Minimization of Center of Gravity Displacementof a Redundant Aerial Manipulator

et al. 2023

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Displacements of the base during trajectory tracking are a common issue in the control of aerial manipulators. These are caused by reaction torques transferred to the base due to the manipulator motion and, in particular, to the motion of its center of gravity. We present a novel approach to reduce base displacements of a kinematically redundant aerial manipulator by using null-space projection in the inverse kinematic control. A secondary objective function minimizes the horizontal displacement of the manipulator center of gravity. We test this algorithm on different trajectories for both three and four degrees of freedom (DOF) manipulators in a simulation environment. The results comparing our algorithm with inverse kinematic control without the null-space projection show up to an 80% reduction in the end-effector position error and an average of about 56% reduction in maximum base displacement. The simulation implementation also runs faster than in real-time in our code implementation. We provide a workspace analysis based on multiple stopping criteria such as excessive base displacement, joint velocities and end-effector position error for the 3 and 4 DOF manipulators. As expected, the 4 DOF manipulator has a larger workspace.

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