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Active 6 DoF Force/Torque Control Based on Dynamic Jacobian for Free-Floating Space Manipulator Cover

Active 6 DoF Force/Torque Control Based on Dynamic Jacobian for Free-Floating Space Manipulator

Open Access
|Dec 2023

Figures & Tables

Figure 1.

Schematic view of the satellite-manipulator system
Schematic view of the satellite-manipulator system

Figure 2.

Scheme of the active 6 DoF force/torque control algorithm (solid lines – input/output signals, dotted lines – dependencies/values required for calculation)
Scheme of the active 6 DoF force/torque control algorithm (solid lines – input/output signals, dotted lines – dependencies/values required for calculation)

Figure 3.

Visualisation of the force sphere
Visualisation of the force sphere

Figure 4.

End-effector positions and orientations with respect to the LAR frame (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control, black solid line – desired)
End-effector positions and orientations with respect to the LAR frame (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control, black solid line – desired)

Figure 5.

External forces from the contact model (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)
External forces from the contact model (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)

Figure 6.

Resultant values of momentum and angular momentum of the satellite-manipulator system (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)
Resultant values of momentum and angular momentum of the satellite-manipulator system (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)

Figure 7.

Resultant values of servicing satellite velocities (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)
Resultant values of servicing satellite velocities (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)

Figure 8.

Measured joint torques (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)
Measured joint torques (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)

Figure 9.

Loads measured between the seventh link and the end-effector (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)
Loads measured between the seventh link and the end-effector (blue dashed line – active 6 DoF force/torque control, red dotted line – Cartesian control)

Denavit–Hartenberg parameters of the manipulator

Link iqi (rad)λi (m)Li (m)αi (rad)
1q1 + π/20.40π/2
2q2 + π/2−0.350π/2
3q3−0.30.60
4q4−0.350.350
5q5−0.30π/2
6q6 + π/20.30π/2
7q70.2500
EE00.17500

Link CoM positions and masses

LinkX (m)Y (m)Z (m)Mass (kg)
100.3015
20−0.25013
30.30−0.218
40.250−0.3510
500.208.5
600.25010.5
7000.15
EE000.17

PID controllers gains

Jointkpkikd
1140100.01
2210100.01
3140100.01
410510.01
510510.01
62110.01
72110.01

Maximal values of measured joint torques

JointActive 6 DoF force/torque control (N m)Cartesian control (N m)
11.501.89
22.454.21
31.682.72
40.860.72
51.101.55
60.170.35
70.0360.027

Link inertia properties

LinkIxx (kg m2)Iyy (kg m2)Izz (kg m2)Ixy (kg m2)Ixz (kg m2)Iyz (kg m2)
10.20.150.1000
20.20.120.12000
30.31100.20
40.080.450.400.10
50.60.550.35000
60.750.40.7000
70.30.30.3000
EE0.090.050.12000
DOI: https://doi.org/10.2478/arsa-2023-0024 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 214 - 229
Submitted on: Dec 14, 2022
Accepted on: Aug 17, 2023
Published on: Dec 29, 2023
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2023 Filip Dyba, Tomasz Rybus, Mateusz Wojtunik, Fatina Liliana Basmadji, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons Attribution 4.0 License.