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Modeling of continuum robots with environmental constraints

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Abstract

Leveraging the intrinsic compliance of continuum robots is a promising approach to enable symbiosis and harmoniousness in an unstructured environment. This compliance in interaction reduces the risk of damage for both the robot and its surroundings. However, the high degrees of freedom of continuum robots complicates the establishment of an analytical model that accurately describes the robot mechanical behavior, particularly in the case of large deformations during contact with obstacles. In this study, a novel modeling method is explored and the configuration space parameters of a robot are defined by considering the environmental constraints and variable curvature. A 10-section continuum robot prototype with a length of 1 m, was developed to validate the model. The robot’s ability to reach the target points, to follow complex paths and incidents of contacting with obstacles validate the feasibility and accuracy of the model. The ratio of the robot endpoint average position errors to its length are 2.045% and 2.446%, respectively, in conditions without and with obstacle. Thus, this work may serve as a reference for designing and analyzing continuum robots, providing a new perspective on the integration of robots with the environment.

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Data availability

The data that support the findings of this study are available from the corresponding author, upon reasonable request.

References

  1. Rus D, Tolley MT (2015) Design, fabrication and control of soft robots. Nature 521(7553):467–475

    Article  Google Scholar 

  2. Hwang G, Park J, Cortes D, Hyeon K, Kyung K (2022) Electroadhesion-based high-payload soft gripper with mechanically strengthened structure. IEEE Trans Ind Electron 69(1):642–651

    Article  Google Scholar 

  3. Li H, Yao J, Liu C, Zhou P, Xu Y, Zhao Y (2018) A bioinspired soft swallowing robot based on compliant guiding structure. Soft Robot 7(4):491–499

    Article  Google Scholar 

  4. Hawkes EW, Blumenschein LH, Greer JD, Okamura AM (2017) A soft robot that navigates its environment through growth. Sci Robot 2(8):3028

    Article  Google Scholar 

  5. Pang G, Yang G, Heng W, Ye Z, Huang X, Yang H, Pang Z (2021) CoboSkin: soft robot skin with variable stiffness for safer human–robot collaboration. IEEE Trans Ind Electron 68(4):3303–3314

    Article  Google Scholar 

  6. Laschi C, Mazzolai B, Cianchetti M (2016) Soft robotics: technologies and systems pushing the boundaries of robot abilities. Sci Robot 1(1):3690

    Article  Google Scholar 

  7. Joseph DG, Tania KM, Allison MO, Elliot WH, Soft A (2019) Steerable continuum robot that grows via tip extension. Soft Robot 6(1):95–108

    Article  Google Scholar 

  8. Kim Y, Parada GA, Liu S, Zhao X (2019) Ferromagnetic continuum robots. Sci Robot 4(33):7329

    Article  Google Scholar 

  9. Shabana AA (2018) Continuum-based geometry/analysis approach for flexible and soft robotic systems. Soft Robot 5(5):613–621

    Article  Google Scholar 

  10. Renda F, Giorelli M, Calisti M, Cianchetti M (2014) Dynamic model of a multibending soft robot arm driven by cables. IEEE Trans Robot 30(5):1–14

    Article  Google Scholar 

  11. Renda F, Boyer F, Dias J, Seneviratne L (2018) Discrete Cosserat approach for multisection soft manipulator dynamics. IEEE Trans Robot 34(6):1518–1533

    Article  Google Scholar 

  12. Catalano MG, Grioli G, Farnioli E, Serio A, Piazza C, Bicchi A (2014) Adaptive synergies for the design and control of the Pisa/IIT SoftHand. Int J Robot Res 33(5):768–782

    Article  Google Scholar 

  13. Yang H, Xu M, Li W, Zhang S (2019) Design and implementation of a soft robotic arm driven by SMA coils. IEEE Trans Ind Electron 66(8):6108–6116

    Article  Google Scholar 

  14. Rone WS, Ben-Tzvi P (2014) Continuum robot dynamics utilizing the principle of virtual power. IEEE Trans Robot 30(1):275–287

    Article  Google Scholar 

  15. Kang R, Branson DT, Zheng T, Guglielmino E, Caldwell DG (2013) Design, modeling and control of a pneumatically actuated manipulator inspired by biological continuum structures. Bioinspir Biomim 8(3):036008

    Article  Google Scholar 

  16. Kang R, Guo Y, Chen L, Branson DT, Dai JS (2016) Design of a pneumatic muscle based continuum robot with embedded tendons. IEEE-ASME Trans Mechatron 22(2):751–761

    Article  Google Scholar 

  17. Yang J, Peng H, Zhou W, Zhang J, Wu Z (2021) A modular approach for dynamic modeling of multisegment continuum robots. Mech Mach Theory 165:104429

    Article  Google Scholar 

  18. Webster RJ, Jones BA (2010) Design and kinematic modeling of constant curvature continuum robots: a review. Int J Robot Res 29(13):1661–1683

    Article  Google Scholar 

  19. Yuan H, Zhou L, Xu W (2019) A comprehensive static model of cable-driven multi-section continuum robots considering friction effect. Mech Mach Theory 135:130–149

    Article  Google Scholar 

  20. Burgner-Kahrs J, Rucker DC, Choset H (2015) Continuum robots for medical applications: a survey. IEEE Trans Robot 31(6):1261–1280

    Article  Google Scholar 

  21. Yang HD, Asbeck AT (2020) Design and characterization of a modular hybrid continuum robotics manipulator. IEEE-ASME Trans Mechatron 25(6):2812–2823

    Article  Google Scholar 

  22. Misher MK, Samantaray AK, Chakraborty G, Jain A, Pathak P, Merzouki R (2019) Dynamic modelling of an elephant trunk like flexible bionic manipulator. In: Proceedings of the ASME 2019 international mechanical engineering congress and exposition (IMECE)

  23. Greer JD, Morimoto TK, Okamura AM, Hawkes EW (2017) Series pneumatic artificial muscles (sPAMs) and application to a soft continuum robot. In: 2017 IEEE international conference on robotics and automation (ICRA). IEEE, pp 5503–5510

  24. Greer JD, Morimoto TK, Okamura AM, Hawkes EW, Soft A (2019) Steerable continuum robot that grows via tip extension. Soft Robot 6(1):95–108

    Article  Google Scholar 

  25. Marchese AD, Rus D (2015) Design, kinematics, and control of a soft spatial fluidic elastomer manipulator. Int J Robot Res 35(7):840–869

    Article  Google Scholar 

  26. Webster RJ, Romano JM, Cowan NJ (2009) Mechanics of precurved-tube continuum robots. IEEE Trans Robot 25(1):67–78

    Article  Google Scholar 

  27. Rucker DC, Webster RJ, Chirikjian GS (2010) Equilibrium conformations of concentric—tube continuum robots. Int J Robot Res 29(10):1263–1280

    Article  Google Scholar 

  28. Escande C, Chettibi T, Merzouki R, Coelen V, Pathak PM (2014) Kinematic calibration of a multisection bionic manipulator. IEEE-ASME Trans Mechatron 20(2):663–674

    Article  Google Scholar 

  29. Gong Z, Fang X, Chen X, Cheng J, Xie Z, Liu J, Chen B, Yang H, Kong S, Hao Y, Wang T, Yu J, Wen L (2020) A soft manipulator for efficient delicate grasping in shallow water: modeling, control, and real-world experiments. Int J Robot Res 40(1):449–469

    Article  Google Scholar 

  30. Yang C, Geng S, Walker I, Branson DT, Liu J, Dai J, Kang R (2020) Geometric constraint-based modeling and analysis of a novel continuum robot with shape memory alloy initiated variable stiffness. Int J Robot Res 39(14):1620–1634

    Article  Google Scholar 

  31. Godage S, Medrano-Cerda GA, Branson DT, Guglielmino E, Caldwell DG (2015) Modal kinematics for multisection continuum arms. Bioinspir Biomim 10(3):035002

    Article  Google Scholar 

  32. Gonthina PS, Kapadia AD, Godage IS, Walker ID (2019) Modeling variable curvature parallel continuum robots using Euler curves. In: 2019 International conference on robotics and automation (ICRA), pp 1679–1685

  33. Singh I, Amara Y, Melingui A, Mani Pathak P, Merzouki R (2018) Modeling of continuum manipulators using pythagorean hodograph curves. Soft Robot 5(4):425–442

    Article  Google Scholar 

  34. Bieze TM, Largilliere F, Kruszewski A, Zhang Z, Merzouki R, Duriez C (2018) Finite element method-based kinematics and closedloop control of soft, continuum manipulators. Soft Robot 5(3):348–364

    Article  Google Scholar 

  35. Huang X, Zou J, Gu G (2021) Kinematic modeling and control of variable curvature continuum robots. IEEE-ASME Trans Mechatron 26(6):3175–3185

    Article  Google Scholar 

  36. Godage S, Wirz R, Walker ID, Webster RJ (2015) Accurate and efficient dynamics for variable-length continuum arms: a center of gravity approach. Soft Robot 2(3):96–106

    Article  Google Scholar 

  37. Coevoet E, Escande A, Duriez C (2017) Optimization-based inverse model of soft robots with contact handling. IEEE Robot Autom Let 2(3):1413–1419

    Article  Google Scholar 

  38. Pall E,Sieverling A, Brock O (2018) Contingent contact-based motion planning. In: IEEE/RSJ international conference on intelligent robots and systems (IROS), pp 6615–6621

  39. Sieverling A, Eppner C, Wolff F, Brock O (2017) Interleaving motion in contact and in free space for planning under uncertainty. In: IEEE/RSJ international conference on intelligent robots and systems (IROS), pp 4011–4073

  40. Zhang Z, Dequidt J, Back J, Liu H, Duriez C (2019) Motion control of cable-driven continuum catheter robot through contacts. IEEE Robot Autom Lett 4(2):1852–1859

    Article  Google Scholar 

  41. Yip MC, Camarillo DB (2014) Model-less feedback control of continuum manipulators in constrained environments. IEEE Trans Robot 30(4):880–889

    Article  Google Scholar 

  42. Chen Y, Wang L, Galloway K, Godage I, Simaan N, Barth E (2021) Modal-based kinematics and contact detection of soft robots. Soft Robot 8(3):298–309

    Article  Google Scholar 

  43. DellaSantina C, Katzschmann RK, Bicchi A, Rus D (2020) Model-based dynamic feedback control of a planar soft robot: trajectory tracking and interaction with the environment. Int J Robot Res 39(4):490–513

    Article  Google Scholar 

  44. Greer D, Blumenschein LH, Alterovitz R, Hawkes EW, Okamura AM (2020) Robust navigation of a soft growing robot by exploiting contact with the environment. Int J Robot Res 39(14):1724–1738

    Article  Google Scholar 

  45. Merzouki R, Samantaray AK, Pathak PM, Ould Bouamama B (2013) Rigid body, flexible body and micro electromechanical systems. In: Intelligent mechatronic systems: modelling, control and diagnosis. Springer London, UK, pp 313–315

  46. Li S, Vogt DM, Rus D, Wood RJ (2017) Fluid-driven origami-inspired artificial muscles. In: Proceedings of the National Academy of Sciences of the United States of America (PNAS), pp 13132–13137

  47. Lee G, Rodrigue H (2019) Origami-based vacuum pneumatic artificial muscles with large contraction ratios. Soft Robot 6(1):109–117

    Article  Google Scholar 

Download references

Acknowledgements

The work was supported by National Natural Science Foundation of China (51975566, U1908214), National Key R&D Program of China (2018YFB1304600), and CAS Interdisciplinary Innovation Team (JCTD-2018-11).

Funding

The funding has been received from National Natural Science Foundation of China with Grant no. 51975566.

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Correspondence to Yuwang Liu.

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Chen, P., Liu, Y., Yuan, T. et al. Modeling of continuum robots with environmental constraints. Engineering with Computers 40, 1217–1230 (2024). https://doi.org/10.1007/s00366-023-01866-z

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