Abstract
At present, there are several tasks automated by robotic systems that require a precise regulation of the applied force to achieve an adequate robot–environment interaction. To address this control problem, this paper presents an explicit force control structure that has two very relevant features for interaction tasks: (1) the operation of robot actuators within a safe region is guaranteed without exceeding their torque limits, and (2) the parametric uncertainty related to gravitational forces and environment stiffness is compensated. The structure of the proposed control scheme is based on generalized saturation functions; therefore, bounded control actions are obtained without restricting the tuning of gain parameters to achieve an adequate performance. In addition, in order to achieve a compliant robot–environment interaction, the controller structure also includes a speed-dependent active damping term that uses generalized saturation functions to obtain a bounded response. Furthermore, the proposed explicit force controller is supported by a rigorous stability analysis via Lyapunov’s theory. Finally, a numerical simulation test is presented to validate its correct performance, using the dynamic model of a three-degree-of-freedom robot manipulator interacting with a rigid environment.
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References
Ajoudani A, Tsagarakis NG, Bicchi A (2017) Choosing poses for force and stiffness control. IEEE Trans Robot 33(6):1483–1490. https://doi.org/10.1109/TRO.2017.2708087
Arnold J, Lee H (2021) Variable impedance control for pHRI: impact on stability, agility, and human effort in controlling a wearable ankle robot. IEEE Robot Autom Lett 6(2):2429–2436. https://doi.org/10.1109/LRA.2021.3062015
Canudas C, Siciliano B, Bastin G (2012) Theory of robot control. Springer Science & Business Media, London
Chávez-Olivares C, Reyes-Cortés F, González-Galván E, Mendoza-Gutiérrez M, Bonilla-Gutiérrez I (2012) Experimental evaluation of parameter identification schemes on an anthropomorphic direct drive robot. Int J Adv Robot Syst 9(5):203. https://doi.org/10.5772/52190
Chávez-Olivares C, Reyes-Cortés F, González-Galván E (2015) On explicit force regulation with active velocity damping for robot manipulators. Automatika 56(4):478–490. https://doi.org/10.1080/00051144.2015.11828661
Fu Q, Santello M (2018) Improving fine control of grasping force during hand-object interactions for a soft synergy-inspired myoelectric prosthetic hand. Front Neurorobot 11:71. https://doi.org/10.3389/fnbot.2017.00071
Gao Y, Chien S (2017) Review on space robotics: toward top-level science through space exploration. Sci Robot 2(7):1–11. https://doi.org/10.1126/scirobotics.aan5074
He W, Xue C, Yu X, Li Z, Yang C (2020) Admittance-based controller design for physical human-robot interaction in the constrained task space. IEEE Trans Autom Sci Eng 17(4):1937–1949. https://doi.org/10.1109/TASE.2020.2983225
Karar ME (2018) A simulation study of adaptive force controller for medical robotic liver ultrasound guidance. Arab J Sci Eng 43(8):4229–4238. https://doi.org/10.1007/s13369-017-2893-4
Kelly R, Santibáñez V, Loría JA (2006) Control of robot manipulators in joint space. Springer Science & Business Media, London
Khalil HK (2002) Nonlinear systems, 3rd edn. Prentice Hall, Upper Saddle River
Khoshdel V, Akbarzadeh A, Naghavi N, Sharifnezhad A, Souzanchi-Kashani M (2018) sEMG-based impedance control for lower-limb rehabilitation robot. Intell Serv Robot 11(1):97–108. https://doi.org/10.1007/s11370-017-0239-4
Lakshminarayanan S, Kana S, Mohan DM, Manyar OM, Then D, Campolo D (2021) An adaptive framework for robotic polishing based on impedance control. Int J Adv Manuf Technol 112(1):401–417. https://doi.org/10.1007/s00170-020-06270-1
López-Araujo DJ, Zavala-Río A, Santibáñez V, Reyes F (2015) A generalized global adaptive tracking control scheme for robot manipulators with bounded inputs. Int J Adapt Control Signal Process 29(2):180–200. https://doi.org/10.1002/acs.2466
Mekki M, Delgado AD, Fry A, Putrino D, Huang V (2018) Robotic rehabilitation and spinal cord injury: a narrative review. Neurotherapeutics 15(3):604–617. https://doi.org/10.1007/s13311-018-0642-3
Na UJ (2017) A new impedance force control of a haptic teleoperation system for improved transparency. J Mech Sci Technol 31(12):6005–6017. https://doi.org/10.1007/s12206-017-1145-6
Ohhira T, Yokota K, Tatsumi S, Murakami T (2021) A robust hybrid position/force control considering motor torque saturation. IEEE Access 9:34515–34528. https://doi.org/10.1109/ACCESS.2021.3059889
Osa T, Sugita N, Mitsuishi M (2017) Online trajectory planning and force control for automation of surgical tasks. IEEE Trans Autom Sci Eng 15(2):675–691. https://doi.org/10.1109/TASE.2017.2676018
Peters BS, Armijo PR, Krause C, Choudhury SA, Oleynikov D (2018) Review of emerging surgical robotic technology. Surg Endosc 32(4):1636–1655. https://doi.org/10.1007/s00464-018-6079-2
Pliego-Jiménez J, Arteaga-Pérez M, Sánchez-Sánchez P (2019) Dexterous robotic manipulation via a dynamic sliding mode force/position control with bounded inputs. IET Control Theory Appl 13(6):832–840. https://doi.org/10.1049/iet-cta.2018.5331
Rodríguez-Liñán M, Mendoza M, Bonilla I, Chávez-Olivares C (2017) Saturating stiffness control of robot manipulators with bounded inputs. Int J Appl Math Comput Sci 27(1):79–90. https://doi.org/10.1515/amcs-2017-0006
Schuster MJ, Brunner SG, Bussmann K, Büttner S, Dömel A, Hellerer M et al (2019) Towards autonomous planetary exploration. J Intell Robot Syst 93(3):461–494. https://doi.org/10.1007/s10846-017-0680-9
Sheng X, Xu L, Wang Z (2017) A position-based explicit force control strategy based on online trajectory prediction. Int J Robot Autom 32(1):93–100. https://doi.org/10.2316/Journal.206.2017.1.206-4899
Vidrios-Serrano C, Mendoza M, Bonilla I, Maldonado-Fregoso B (2021) A generalized vision-based stiffness controller for robot manipulators with bounded inputs. Int J Control Autom Syst 19(1):548–561. https://doi.org/10.1007/s12555-019-1056-7
Winkler A, Suchý J (2015) Implicit force control of a position controlled robot-a comparison with explicit algorithms. Int J Comp Inf Eng 9(6):1447–1453. https://doi.org/10.5281/zenodo.1106937
Zamora-Gómez GI, Zavala-Río A, Lñpez-Araujo DJ, Cruz-Zavala E, Nuño E (2019) Continuous control for fully damped mechanical systems with input constraints: finite-time and exponential tracking. IEEE Trans Autom Control 65(2):882–889. https://doi.org/10.1109/TAC.2019.2921667
Zamora-Gómez GI, Zavala-Río A, Lñpez-Araujo DJ, Nuño E, Cruz-Zavala E (2020) Further advancements on the output-feedback global continuous control for the finite-time and exponential stabilisation of bounded-input mechanical systems: desired conservative-force compensation and experiments. Int J Control 93(7):1521–1533. https://doi.org/10.1080/00207179.2018.1514533
Zanchettin AM, Ceriani NM, Rocco P, Ding H, Matthias B (2015) Safety in human-robot collaborative manufacturing environments: metrics and control. IEEE Trans Autom Sci Eng 13(2):882–893. https://doi.org/10.1109/TASE.2015.2412256
Zavala-Río A, Mendoza M, Santibáñez V, Reyes F (2016) Output-feedback proportional-integral-derivative-type control with multiple saturating structure for the global stabilization of robot manipulators with bounded inputs. Int J Adv Robot Syst 13(5). https://doi.org/10.1177/1729881416663368
Zuo Y, Wang Y, Liu X (2018) Adaptive robust control strategy for rhombus-type lunar exploration wheeled mobile robot using wavelet transform and probabilistic neural network. Comput Appl Math 37(1):314–337. https://doi.org/10.1007/s40314-017-0538-6
Acknowledgements
This work was supported by the National Council for Science and Technology (grant 2018-000012-01NACF-11014), Mexico, and the Autonomous University of Aguascalientes (PII19-2 and PII22-4).
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Rojas-García, L., Mendoza, M., Bonilla, I. et al. Adaptive force control with active damping for robot manipulators with bounded inputs. Comp. Appl. Math. 41, 266 (2022). https://doi.org/10.1007/s40314-022-01976-2
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DOI: https://doi.org/10.1007/s40314-022-01976-2