Skip to main content

Advertisement

Log in

Soft computing-based approaches to predict energy consumption and stability margin of six-legged robots moving on gradient terrains

  • Published:
Applied Intelligence Aims and scope Submit manuscript

Abstract

Soft computing-based approaches have been developed to predict specific energy consumption and stability margin of a six-legged robot ascending and descending some gradient terrains. Three different neuro-fuzzy and one neural network-based approaches have been developed. The performances of these approaches are compared among themselves, through computer simulations. Genetic algorithm-tuned multiple adaptive neuro-fuzzy inference system is found to perform better than other three approaches for predicting both the outputs. This could be due to a more exhaustive search carried out by the genetic algorithm in comparison with back-propagation algorithm and the use of two separate adaptive neuro-fuzzy inference systems for two different outputs. A designer may use the developed soft computing-based approaches in order to predict specific energy consumption and stability margin of the robot for a set of input parameters, beforehand.

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. Song SM, Waldron KJ (1989) Machines that walk: the adaptive suspension vehicle. MIT Press, Cambridge

    Google Scholar 

  2. Pratihar DK (2008) Soft computing. Narosa Publishing House, New Delhi

    Google Scholar 

  3. Marhefka DW, Orin DE (1998) Quadratic optimization of force distribution in walking machines. In: Proceedings of IEEE international conference on robotics and automation, Leuven, Belgium, pp 477–483

    Google Scholar 

  4. Kar DC, Issac KK, Jayarajan K (2001) Minimum energy force distribution for a walking robot. J Robot Syst 18(2):47–54

    Article  MATH  Google Scholar 

  5. Lin BS, Song SM (2001) Dynamic modeling, stability and energy efficiency of a quadrupedal walking machine. J Robot Syst 18(11):657–670

    Article  MATH  Google Scholar 

  6. Erden MS, Leblebicioglu K (2007) Torque distribution in a six-legged robot. IEEE Trans Robot 23(1):179–186

    Article  Google Scholar 

  7. Nishii J (1998) Gait pattern and energetic cost in hexapods. In: Proceedings of 20th annual international conference of the IEEE engineering in medicine and biology society, vol 20, pp 2430–2433

    Google Scholar 

  8. Arikawa K, Hirose S (1995) Study of walking robot for 3 dimensional terrain. In: Proceedings of IEEE ICRA-95, Nagoya, Japan, vol 1, pp 703–708

    Google Scholar 

  9. Silva MF, Machado JAT, Endes Lopes AM (2001) Energy analysis of multi-legged locomotion systems. In: Proceedings of 4th conf on climbing and walking robots, Karlsruhe, Germany, pp 143–150

    Google Scholar 

  10. Zhoga VV (1998) Computation of walking robots movement energy expenditure. In: Proceedings of IEEE int conf on robotics and automation, Leuven, pp 163–168

    Google Scholar 

  11. Zelinska T (2000) Efficiency analysis in the design of walking machine. J Theor Appl Mech 38:693–708

    Google Scholar 

  12. Pratihar DK, Deb K, Ghosh A (2000) Optimal turning gait of a six-legged robot using GA-fuzzy approach. Artif Intell Eng Des Anal Manuf 14:207–219

    Google Scholar 

  13. Pratihar DK, Deb K, Ghosh A (2002) Optimal path and gait generations simultaneously of a six-legged robot using a GA-fuzzy approach. Robot Auton Syst 41:1–20

    Article  Google Scholar 

  14. Roy SS, Sen Choudhury P, Pratihar DK (2010) Dynamic modeling of energy efficient hexapod robot’s locomotion over gradient terrains. In: Vadakkepat P et al (eds) Trends in intelligent robotics: communications in computer and information science, vol 103. Springer, Berlin, pp 138–145

    Google Scholar 

  15. Roy SS, Singh AK, Pratihar DK (2010) Estimation of optimal foot force distribution and joint torques for on-line control of six-legged robot. Robotics Comput Integr Manuf 27(5):910–917

    Article  Google Scholar 

  16. Roy SS, Pratihar DK (2010) Dynamic modeling and energy efficiency analysis of six-legged robot walking on flat and sloping surfaces. Math Comput Simul (under review)

  17. Denavit J, Hartenberg RS (1955) A kinematics notation for lower-pair mechanisms based on matrices. J Appl Mech 77:215–221

    MathSciNet  Google Scholar 

  18. Chapra S, Canale R (2006) Numerical methods for engineers. Tata McGraw-Hill, New Delhi

    Google Scholar 

  19. Fu KS, Gonzalez RC, Lee CSG (1987) Robotics: control, sensing, vision, and intelligence. McGraw Hill, Singapore

    Google Scholar 

  20. Nishii J (2000) Legged insects select the optimal locomotor pattern based on the energetic cost. Biol Cybern 83:435–442

    Article  Google Scholar 

  21. Nishii J (2006) An analytical estimation of the energy cost for legged locomotion. J Theor Biol 238:636–645

    Article  MathSciNet  Google Scholar 

  22. Messuri D, Klein C (1985) Automatic body regulation for maintaining stability of a legged vehicle during rough-terrain locomotion. IEEE J Robot Autom RA-1(3):132–141

    Google Scholar 

  23. Hirose S, Tsukagoshi H, Yoneda K (1998) Normalized energy stability margin: generalized stability criterion for walking vehicles. In: Proceedings of the int conf on climbing and walking robots, Brussels, Belgium, pp 71–76

    Google Scholar 

  24. Tickoo S, Maini D, Raina V (2007) CATIA V5R16 for engineers and designers. Dreamtech Press, New Delhi

    Google Scholar 

  25. Jang JSR (1993) ANFIS: adaptive network-based fuzzy inference systems. IEEE Trans Syst Man Cybern 23(03):665–685

    Article  Google Scholar 

  26. Jang JSR, Sun CT, Mizutani E (2001) Neuro-fuzzy and soft. Prentice-Hall of India Private Limited, New Delhi

    Google Scholar 

  27. Holland JH (1975) Adaptation in natural and artificial systems. The University of Michigan Press, Ann Arbor

    Google Scholar 

  28. Goldberg DE (1989) Genetic algorithms in search, optimization and machine learning. Addison-Wesley, Reading

    MATH  Google Scholar 

  29. Mizutani E, Jang JSR (1995) Coactive neural fuzzy modeling. In: Proceedings of the international conference on neural networks, pp 760–765

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dilip Kumar Pratihar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roy, S.S., Pratihar, D.K. Soft computing-based approaches to predict energy consumption and stability margin of six-legged robots moving on gradient terrains. Appl Intell 37, 31–46 (2012). https://doi.org/10.1007/s10489-011-0311-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10489-011-0311-2

Keywords

Navigation