Skip to main content
Log in

Center-configuration selection technique for the reconfigurable modular robot

  • Published:
Science in China Series F: Information Sciences Aims and scope Submit manuscript

Abstract

The reconfigurable modular robot has an enormous amount of configurations to adapt to various environments and tasks. It greatly increases the complexity of configuration research in that the possible configuration number of the reconfigurable modular robot grows exponentially with the increase of module number. Being the initial configuration or the basic configuration of the reconfigurable robot, the center-configuration plays a crucial role in system’s actual applications. In this paper, a novel center-configuration selection technique has been proposed for reconfigurable modular robots. Based on the similarities between configurations’ transformation and graph theory, configuration network has been applied in the modeling and analyzing of these configurations. Configuration adjacency matrix, reconfirmation cost matrix, and center-configuration coefficient have been defined for the configuration network correspondingly. Being similar to the center-location problem, the center configuration has been selected according to the largest center-configuration coefficient. As an example of the reconfigurable robotic system, AMOEBA-I, a three-module reconfigurable robot with nine configurations which was developed in Shenyang Institute of Automation (SIA), Chinese Academy of Sciences (CAS), has been introduced briefly. According to the numerical simulation result, the center-configuration coefficients for these nine configurations have been calculated and compared to validate this technique. Lastly, a center-configuration selection example is provided with consideration of the adjacent configurations. The center-configuration selection technique proposed in this paper is also available to other reconfigurable modular robots.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zykov V, Mytilinaios E, Adams B, et al. Self-reproducing machines. Nature, 2005, 435(7038): 163–164

    Article  Google Scholar 

  2. Mackenzie D. Shape shifters tread a daunting path toward reality. Science, 2003, 301(5634): 754–756

    Article  Google Scholar 

  3. Polymorphic Robotics Laboratory [OL][2006-05-1]. http://www.isi.edu/robots

  4. Shen W M, Salemi B, Will P. Hormone-inspired adaptive communication and distributed control for CONRO self-reconfigurable robots. IEEE Trans Robot Automat, 2002, 18(5): 700–712

    Article  Google Scholar 

  5. Støy K, Shen W M, Will P. Using role based control to produce locomotion in chain-type self-reconfigurable robot. IEEE/ASME Trans Mech, 2002, 7(4): 410–417

    Article  Google Scholar 

  6. Modular robotics at PARC[OL].[2006-05-1]. http://www2.parc.com/spl/projects/modrobots/

  7. Yim M. A reconfigurable modular robot with many modes of locomotion. In: Proc of the JSME Int Conf on Advanced Mechatronics, 1993. 283–288

  8. Yim M, Duff D, Roufas K. Polybot: a modular reconfigurable robot. In: Proc of IEEE Int Conf on Robotics and Automation, 2000. 514–520

  9. Paredis C J, Brown H B, Khosla P K. A rapidly deployable manipulator system. Robot Auton Syst, 1997, 21(3): 289–304

    Article  Google Scholar 

  10. Ünsal C, Khosla P. A multi-layered planner for self-reconfiguration of a uniform group of I-cube modules. In: Proc of IEEE/RSJ Int Conf on Intelligent Robots and Systems, 2001. 598–605

  11. Distributed Modular Robotic Systems [OL][2006-05-1]. http://unit.aist.go.jp/is/dsysd/research.htm

  12. Yoshida E, Murata S, Kamimura A, et al. A self-reconfigurable modular robot: reconfiguration planning and experiments. I Int J Robot Res, 2002, 21(10): 903–916

    Article  Google Scholar 

  13. Yoshida E, Murata S, Kamimura A, et al. Evolutionary synthesis of dynamic motion and reconfiguration process for a modular robot M-TRAN. In: Proc of IEEE Int Symposium on Computational Intelligence in Robotics and Automation, 2003. 1004–1010

  14. Kamimura A, Kurokawa H, Yoshida E, et al. Automatic locomotion design and experiments for a modular robotic system. IEEE/ASME Trans Mech, 2005, 10(3): 314–325

    Article  Google Scholar 

  15. Fukuda T, Nakagawa S. Dynamically reconfigurable robot system. In: Proc of IEEE Int Conf on Robotics and Automation, 1988. 1581–1586

  16. Rus D, Vona M. Crystalline robots: self-reconfiguration with compressible unit modules. Auton Robot, 2001, 10(1): 107–124

    Article  MATH  Google Scholar 

  17. Kotay K, Rus D, Vona M, et al. The self-reconfiguring robotic molecule. In: Proc of IEEE Int Conf on Robotics and Automation, 1998. 424–431

  18. Fei Y Q, Zhao X F. Modules classification and automatic generation of kinematics on self-reconfigurable modular machines. J Intell Robot Syst, 2005, 43(2–4): 147–159

    Article  Google Scholar 

  19. Xu W, Wang S G, Wang A L. Towards an efficient self-organizing reconfiguration method for self-reconfigurable robots. J Intell Robot Syst, 2003, 37(4): 415–425

    Article  Google Scholar 

  20. Wu Q X, Cao G Y, Fei Y Q. Motion simulation and experiment of a novel modular self-reconfigurable robot. J Southeast Univ, 2006, 22(2): 185–190

    Google Scholar 

  21. Liu J G, Wang Y C, Li B, et al. Link-type shape shifting modular robot for search and rescue. High Tech Lett, 2004, 10(Supp): 179–183

    Google Scholar 

  22. Liu J G, Wang Y C, Li B, et al. Representing and enumerating of the non-isomorphic configurations of a shape shifting modular robot. Chinese J Mech Engin (in Chinese), 2006, 42(1): 98–105

    Google Scholar 

  23. Liu J G, Wang Y C, Ma S G, et al. Analysis of tipover stability for novel shape shifting modular robot. Chinese J Mech Engin, 2006, 19(2): 187–192

    Article  Google Scholar 

  24. Liu J G, Ma S G, Lu Z L, et al. Design and experiment of a novel link-type shape shifting modular robot series. In: Proc of IEEE Int Conf on Robotics and Biomimetics, 2005. 318–323

  25. Liu J G, Wang Y C, Li B, et al. Transformation technique research of the improved link-type shape shifting modular robot. In: Proc of IEEE Int Conf on Mechatronics and Automation, 2006. 295–300

  26. Li B, Wang Y C, Liu J G, et al. A novel shape shifting tracked mobile mechanism. Chinese Innovation Patent, 200420012106.9, 2004-03-31

  27. Wang T M, Zou D, Chen D S. Mechanism design and control method of reconfigurable tracked robot. J Beijing Univ Aeronaut Astronaut (in Chinese), 2005, 31(7): 705–708

    Google Scholar 

  28. Yu H B, Yu J J, Bi S S, et al. Configuration synthesis of reconfigurable robot based on graph theory. Chinese J Mech Engin (in Chinese), 2005, 41(8): 79–83

    Google Scholar 

  29. Wei Y H, Zhao J, Cai H G. Task-based method for determining topology of reconfigurable modular robot. Chinese J Mech Engin (in Chinese), 2006, 42(B05): 93–97

    Google Scholar 

  30. Li M T, Huang B, Liu G C, et al. A modular reconfigurable tracked micro-robot. Robot (in Chinese), 2006, 28(5): 548–552

    Google Scholar 

  31. Zheng H J, Wang J S, Li T M. Reconfigurable robot unit structure design and assembly character analyses. Chinese J Mech Engin (in Chinese), 2003, 39(7): 34–37

    Google Scholar 

  32. Chen I M, Burdick J W. Enumerating the non-isomorphic assembly configuration of modular robotic systems. In: Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, 1993. 1985–1992

  33. Castano A, Will P. Representing and discovering the configuration of CONRO Robots. In: Proc. of IEEE Int. Conf. on Robotics and Automation, 2001. 3503–3509

  34. Bi Z M, Zhang W J. Concurrent optimal design of modular robotic configuration. J Robot Syst, 2001, 18(2): 77–87

    Article  MATH  Google Scholar 

  35. Yim M, Goldberg D, Casal A. Connectivity planning for closed-chain reconfiguration. In: Proc of SPIE 4196, Sensor Fusion and Decentralized Control in Robotic Systems III, 2000. 402–412

  36. Chen I M. Theory and applications of modular reconfigurable robotic systems. Dissertation for the Doctoral Degree. California: California Institute of Technology, 1994

    Google Scholar 

  37. Butler Z, Kotay K, Rus D. Generic decentralized locomotion control for lattice-based self-reconfigurable robots. I Int J Robot Res, 2004, 23(9): 919–938

    Article  Google Scholar 

  38. Lu K C. Graph Theory and Its Application (in Chinese). Beijing: Tsinghua University Press, 1981

    Google Scholar 

  39. Jungnickel D. Graphs, Networks and Algorithms. Berlin, Heidelberg: Springer-Verlag, 1999

    Google Scholar 

  40. Minieka E. Optimization Algorithms for Network and Graphs (translated in Chinese by Li J Y, Zhao G Q). Beijing: China Railway Press, 1984

    Google Scholar 

  41. Yang F M, Hua G W, Deng M, et al. Some advances of the researches on location problems. Oper Res Manag Sci (in Chinese), 2005, 14(6): 1–7

    Google Scholar 

  42. Foul A. A 1-center problem on the plane with uniformly distributed demand points. Oper Res Lett, 2006, 34: 264–268

    Article  MATH  MathSciNet  Google Scholar 

  43. Pan S, Li X. An efficient algorithm for the euclidean r-centrum location problem. Appl Math Comput, 2005, 167(1): 716–728

    Article  MathSciNet  Google Scholar 

  44. Wuchty S, Stadle P F. Centers of complex networks. J Theor Biol, 2003, 223(1): 45–53

    Article  Google Scholar 

  45. COSMOSMotion™ provides the following features and benefits [OL][2006-05-1]. http://www.solidworks.com/pages/products/cosmos/cosmosmotion/cmfeatures.html

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Liu JinGuo.

Additional information

Supported in part by the National High-Technology 863 Program (Grant No. 2001AA422360), the Chinese Academy of Sciences Advanced Manufacturing Technology R&D Base Fund (Grant Nos. A050104 and F050108), and the GUCAS-BHP Billiton Scholarship

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, J., Wang, Y., Li, B. et al. Center-configuration selection technique for the reconfigurable modular robot. SCI CHINA SER F 50, 697–710 (2007). https://doi.org/10.1007/s11432-007-0068-8

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-007-0068-8

Keywords

Navigation