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An approach to the dynamics and control of a planar tensegrity structure with application in locomotion systems

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Abstract

The use of mechanically compliant tensegrity structures in vibration-driven mobile robots is an attractive research topic, due to the principal possibility to adjust their dynamic properties reversibly during locomotion. In this paper vibration driven planar locomotion of mobile robots, based on a simple tensegrity structure, consisting of two rigid disconnected compressed members connected to a continuous net of four prestressed tensional members with pronounced elasticity, is discussed. The dynamic behaviour of the considered system is nonlinear, due to large vibration amplitudes and friction between robot and environment, and is mainly influenced by the magnitude of prestress. Therefore, the movement performance of the robot can be essentially influenced by the actuation parameters, e.g. by modifying the frequency or the magnitude of actuation the locomotion direction of the system varies. To study the system behaviour, the nonlinear equations of motion are derived and transient dynamic analyses are performed, including the consideration of chaotic system behaviour near to the primary and secondary eigenfrequencies. The dependency of the movement behaviour on the actuation parameters and on the prestress are discussed focused on single-actuated systems with minimal control effort.

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References

  1. Trivedi D et al (2008) Soft robotics: biological inspiration, state of the art, and future research. Appl Bion Biomech 5(3):99–117

    Article  Google Scholar 

  2. Albu-Schaffer A et al (2008) Soft robotics. IEEE Robot Autom Mag 15(3):20–30

    Article  Google Scholar 

  3. Paul C et al (2005) Gait production in a tensegrity based robot. In: Proceedings of ICAR ’05, 12th international conference on advanced robotics, Seattle, pp 216–222

  4. Rieffel JA et al (2010) Morphological communication: exploiting coupled dynamics in a complex mechanical structure to achieve locomotion. J R Soc Interface 7:613–621

    Article  Google Scholar 

  5. Koizumi Y et al (2012) Rolling tensegrity driven by pneumatic soft actuators. In: Proceedings of IEEE international conference on robotics and automation, Saint Paul, pp 1988–1993

  6. Mirats Tur JM et al (2009) Tensegrity frameworks: dynamic analysis review and open problems. Int J Mech Mach Theory 44(1): 1–18

  7. Skelton RE et al (2009) Tensegrity systems. Springer, Dordrecht

    MATH  Google Scholar 

  8. Masic M et al (2004) Open-loop control of class-2 tensegrity towers. In: Proceedings of SPIE smart structures and materials: modeling, signal processing, and control, vol 5383, San Diego, pp 298–308

  9. Aldrich JB et al (2006) Backlash-free motion control of robotic manipulators driven by tensegrity motor networks. In: Proceedings of IEEE conference on decision and control, San Diego, pp 2300–2306

  10. Edsinger A (2002) Developmental programs for tensegrity robots. In: MIT artificial intelligence laboratory research abstracts, pp 22–23

  11. Shibata M et al (2009) Crawling by body deformation of tensegrity structure robots. In: Proceedings of IEEE international conference on robotics and automation, Kobe, pp 4375–4380

  12. Shibata M et al (2010) Moving strategy of tensegrity robots with semiregular polyhedral body. In: Proceedings of 13th international conference climbing and walking robots (CLAWAR 2010), Nagoya, pp 359–366

  13. Orki O et al (2012) Modeling of caterpillar crawl using novel tensegrity structures. Bioinspir Biomim 7(4):046006

    Google Scholar 

  14. Paul C et al (2005) Redundancy in the control of robots with highly coupled mechanical structures. In: Proceedings of IEEE/RSJ international conference on intelligent robots and systems, Edmonton, pp 3585–3591

  15. Paul C et al (2006) Design and control of tensegrity robots for locomotion. IEEE Trans Robot 22(5):944–957

    Article  Google Scholar 

  16. Rieffel JA et al (2008) Mechanism as mind: what tensegrities and caterpillars can teach us about soft robotics. In: Artificial life XI: proceedings of eleventh international conference on the simulation and synthesis of living systems. MIT Press, Cambridge, pp 506–512

  17. Rieffel JA et al (2007) Locomotion of a Tensegrity robot via dynamically coupled modules. In: Proceedings of international conference on morphological computation (ICMC07), Venice, pp 36–39

  18. Iscen A et al (2013) Controlling Tensegrity robots through evolution. In: Proceedings of genetic and evolutionary computation conference (GECCO 2013), Amsterdam, pp 1293–1300

  19. Tietz B et al (2013) Tetraspine: robust terrain handling on a tensegrity robot using central pattern generators. In: Proceedings of IEEE/ASME international conference on advanced intelligent mechatronics, Wollongong, pp 261–267

  20. Khazanov M, Humphreys B, Keat W, Rieffel J (2013) Exploiting dynamical complexity in a physical tensegrity robot to achieve locomotion. In: Advances in artificial life, ECAL. MIT Press, Cambridge, pp 965–972

  21. Böhm V et al (2013) Vibration-driven mobile robots based on single actuated tensegrity structures. In: Proceedings of IEEE international conference on robotics and automation, Karlsruhe, pp 5455–5460

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Acknowledgments

The authors thank Dr. M. Jahn for giving the first impulse in this research, M.Sc. T. Kaufhold for his permanent technological support and Prof. J. Awrejcewicz for the opportunity to present first results of our work on “12th Conference Dynamical Systems—Theory and applications”.

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Authors and Affiliations

  1. Ilmenau University of Technology, Faculty of Mechanical Engineering Technical Mechanics Group, 98684 , Ilmenau, Germany

    Valter Böhm, Igor Zeidis & Klaus Zimmermann

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  1. Valter Böhm
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  2. Igor Zeidis
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  3. Klaus Zimmermann
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Correspondence to Valter Böhm.

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Böhm, V., Zeidis, I. & Zimmermann, K. An approach to the dynamics and control of a planar tensegrity structure with application in locomotion systems. Int. J. Dynam. Control 3, 41–49 (2015). https://doi.org/10.1007/s40435-014-0067-8

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  • DOI: https://doi.org/10.1007/s40435-014-0067-8

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