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Model validation of a hexapod walker robot

Published online by Cambridge University Press:  17 August 2015

István Kecskés*
Affiliation:
Doctoral School of Applied Informatics and Applied Mathematics, Obuda University, Budapest, Hungary. E-mail: [email protected], [email protected]
Ervin Burkus
Affiliation:
Doctoral School of Applied Informatics and Applied Mathematics, Obuda University, Budapest, Hungary. E-mail: [email protected], [email protected]
Fülöp Bazsó
Affiliation:
Wigner RCP, Institute for Particle and Nuclear Physics, Budapest, Hungary. E-mail: [email protected] SU-Tech College of Applied Sciences, Subotica, Serbia
Péter Odry
Affiliation:
SU-Tech College of Applied Sciences, Subotica, Serbia College of Dunaujvaros, Dunaujvaros, Hungary. E-mail: [email protected]
*
*Corresponding author. E-mail: [email protected]

Summary

Our complete dynamical simulation-model realistically describes the real low-cost hexapod walker robot Szabad(ka)-II within prescribed tolerances under nominal load conditions. This validated model is novel, described in detail, for it includes in a single study: (a) digital controllers, (b) gearheads and DC motors, (c) 3D kinematics and dynamics of 18 Degree of Freedom (DOF) structure, (d) ground contact for even ground, (e) sensors and battery model. In our model validation: (a) kinematical-, dynamical- and digital controller variables were simultaneously compared, (b) differences of measured and simulated curves were quantified and qualified, (c) unknown model parameters were estimated by comparing real measurements with simulation results and applying adequate optimization procedures. The model validation helps identifying both model's and real robot's imperfections: (a) gearlash of the joints, (b) imperfection of approximate ground contact model, (c) lack of gearhead's internal non-linear friction in the model. Modeling and model validation resulted in more stable robot which performed better than its predecessors in terms of locomotion.

Type
Articles
Copyright
Copyright © Cambridge University Press 2015 

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References

1. Allen, T. J., Quinn, R. D., Bachmann, R. J. and Ritzmann, R. E., “Abstracted Biological Principles Applied with Reduced Actuation Improve Mobility of Legged Vehicles,” Proceedings IEEE/RSJ International Conference on Intelligent Robots and Systems, (IROS 2003), vol. 2 (2003) pp. 1370–1375.Google Scholar
2. Appl-DSP.com, “Szabad(ka)-ii robots,” Available from: www.szabadka-robot.com, 2011.Google Scholar
3. Arena, P., Fortuna, L., Frasca, M., Patané, L. and Pavone, M., “Implementation and Experimental Validation of an Autonomous Hexapod Robot,” Proceedings of IEEE International Symposium on Circuits and Systems (2006) pp. 401–406.Google Scholar
4. Bailey, S. A., Biomimetic Control with a Feedback coupled Nonlinear Oscillator: Insect Experiments, Design Tools, and Hexapedal Robot Adaptation Results Ph.D. Thesis (Stanford University, 2004).Google Scholar
5. Bartsch, S., Birnschein, T., Römmermann, M., Hilljegerdes, J., Kühn, D. and Kirchner, F., “Development of the six-legged walking and climbing robot spaceclimber,” J. Field Robot. 29 (3), 506532 (2012).Google Scholar
6. Bräunl, T., Embedded Robotics, third edition, Springer-Verlag Berlin Heidelberg, 2008, e-ISBN 978-3-540-70534-5.Google Scholar
7. Burkus, E. and Odry, P., “Autonomous Hexapod Walker Robot “szabad(ka)”,” Proceedings of the IEEE 5th International Symposium on Intelligent Systems and Informatics (SISY), (2007) pp. 103–106.Google Scholar
8. Burkus, E., Radosav, D. and Odry, P., “Autonomous Hexapod Walker Robot “szabad(ka) ii” - Software Modeling and Tools,” ITRO 2011, Zrenjanin, Serbia (2011).Google Scholar
9. Burkus, E., Fodor, J. C. and Odry, P., “Structural and Gait Optimization of a Hexapod Robot with Particle Swarm Optimization,” IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY), IEEE (2013) pp. 147–152.Google Scholar
10. Burkus, E. and Odry, P., “Autonomous hexapod walker robot “szabad(ka)”,” Acta Polytech. Hung. 5 (1), 6985 (2008).Google Scholar
11. Carbone, G. and Ceccarelli, M., “A low-cost easy-operation hexapod walking machine,” Int. J. Adv. Robot. Syst. 5 (2), 161166 (2008).Google Scholar
12. Celaya, E. and Albarral, J. L., “Implementation of a Hierarchical Walk Controller for the Lauron iii Hexapod Robot,” International Conference on Climbing and Walking Robots (Clawar 2003) (2003) pp. 409–416.Google Scholar
13. Western Reserve University Center, “Biologically Inspired Robotics, Case Western Reserve University,” 2008 Available from: http://biorobots.case.edu/legs/.Google Scholar
14. CMU, “Artificial Intelligence and Applied Problem Solving from cmu, a World Leader in Mobile Robotics, Chiara- the Next Generation of Research Robots,” Available from: http://chiara-robot.org/chiara-brochure-july-2008.pdf, 2008.Google Scholar
15. Collins, J. J. and Stewart, I. N., “Coupled nonlinear oscillators and the symmetries of animal gaits,” J. Nonlinear Sci. 3 (1), 349392 (1993).Google Scholar
16. Corke, I. P., Robotics toolbox for matlab (release 6). Manufacturing Science and Technology Pinjarra Hills, Australia (2001).Google Scholar
17. Currie, J., Beckerleg, M. and Collins, J., “Software evolution of a hexapod robot walking gait,” Int. J. Intell. Syst. Technol. Appl. 8 (1), 382394 (2010).Google Scholar
18. Delcomyn, F. and Nelson, M. E., “Architectures for a biomimetic hexapod robot,” Robot. Auton. Syst. 30 (1), 515 (2000).Google Scholar
19. Ding, X., Wang, Z., Rovetta, A. and Zhu, J. M., “Locomotion Analysis of Hexapod Robot,” Climbing and Walking Robots (2010) pp. 291–310.Google Scholar
20. Vincent Duindam, Port-Based Modeling and Control for Efficient Bipedal Walking Robots Ph.D. Thesis (University of Twente, Enschede, 2006). Available from: http://eprints.eemcs.utwente.nl/1622/01/vduindamPhDthesis.pdf Google Scholar
21. Faulhaber, F., “Precise Gearheads Efficiency Measurement,” Available from: www.faulhaber.com (2005).Google Scholar
22. Faulhaber.com, Faulhaber gmbh. Available from: www.faulhaber.com (2014).Google Scholar
23. Fielding, M. R., Dunlop, R. and Damaren, C. J., “Hamlet: Force/Position Controlled Hexapod Walker-Design and Systems,” Proceedings of the 2001 IEEE International Conference on Control Applications, (CCA'01), IEEE (2001) pp. 984–989.Google Scholar
24. Georgiades, C., Simulation and Control of an Underwater Hexapod Robot Ph.D. Thesis (Montreal: Department of Mechanical Engineering McGill University, 2005).Google Scholar
25. de Santos, P. G., Cobano, J. A., Garcia, E., Estremera, J. and Armada, M. A., “A six-legged robot-based system for humanitarian demining missions,” Mechatronics 17 (8), 417430 (2007).Google Scholar
26. Grizzle, J. W., Chevallereau, C., Ames, D. A. and Sinnet, W. R., “3d Bipedal Robotic Walking: Models, Feedback Control, and Open Problems,” NOLCOS, Bologna, Italy (2010).Google Scholar
27. Haavisto, O. and Hyötyniemi, H., “Simulation Tool of a Biped Walking Robot Model,” Espoo, March 2004, Report 138, Helsinki University of Technology (2004).Google Scholar
28. Hauser, K., Bretl, T., Latombe, J. and Wilcox, B., “Motion Planning for a Six-Legged Lunar Robot,” The 7th International Workshop on the Algorithmic Foundations of Robotics, vol. 7 (2006) pp. 16–18.Google Scholar
29. Hutter, M. and Näf, D., “Quadruped Walking/Running Simulation,” Spring Term (2011) Semester-Thesis in ETH Zürich.Google Scholar
30. Jakimovski, B., Meyer, B. and Maehle, E., “Self-Reconfiguring Hexapod Robot Oscar Using Organically Inspired Approaches and Innovative Robot Leg Amputation Mechanism,” International Conference on Automation, Robotics and Control Systems, ARCS 2009, Orlando, USA (2009).Google Scholar
31. Janrathitikarn, O. and Long, L. N., “Gait Control of a Six-Legged Robot on Unlevel Terrain using a Cognitive Architecture,” Aerospace Conference, 2008 IEEE (2008) pp. 1–9.Google Scholar
32. Kar, D. C., “Design of statically stable walking robot: A review,” J. Robot. Syst. 20 (11), 671686 (2003).Google Scholar
33. Kecskés, I. and Odry, P., “Full Kinematic and Dynamic Modeling of “szabad(ka)-duna” hexapod,” Proceedings of the 7th International Symposium on Intelligent Systems and Informatics, SISY'09, IEEE (2009) pp. 215–219.Google Scholar
34. Kecskés, I. and Odry, P., “Fuzzy Controlling of Hexapod Robot Arm with Coreless dc Micromotor,” XXIII. MicroCAD, Miskolc, 2009 March (2009) pp. 19–20.Google Scholar
35. Kecskés, I. and Odry, P., “Walk Optimization for Hexapod Walking Robot,” Proceedings of 10th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics (CINTI), Budapest, Hungary (2009) pp. 12–14.Google Scholar
36. Kecskés, I. and Odry, P., “Protective Fuzzy Control of Hexapod Walking Robot Driver in Case of Walking and Dropping,” In: Computational Intelligence in Engineering (Springer, 2010) pp. 205217.Google Scholar
37. Kecskes, I. and Odry, P., “Simple Definition of Adequate Fixed Time-Step Size of Szabad (ka)-ii robot model,” IEEE 9th International Conference on Computational Cybernetics (ICCC), IEEE (2013) pp. 315–320.Google Scholar
38. Kecskés, I. and Odry, P., “Optimization of PI and Fuzzy-PI Controllers on Simulation Model of Szabad (ka)-II walking robot,” Int. J. Adv. Robot. Syst., 2014, 11, 186. doi: 10.5772/59102 Google Scholar
39. Kecskés, I., Székács, L., Fodor, J. C. and Odry, P., “Pso and ga Optimization Methods Comparison on Simulation Model of a Real Hexapod Robot,” EEE 9th International Conference on Computational Cybernetics (ICCC), IEEE (2013) pp. 125–130.Google Scholar
40. Kennedy, B., Aghazarian, H., Cheng, Y., Garrett, M., Hutsberger, T., Magnone, L., Okon, A. and Robinson, M., “Limbed Excursion Mechanical Utility Rover: Lemur ii,” 53rd International Astronautical Congress (2002).Google Scholar
41. Kikuuwe, R., Takesue, N., Sano, A., Mochiyama, H. and Fujimoto, H., “Fixed-Step Friction Simulation: From classical coulomb model to modern continuous models,” IEEE/RSJ International Conference on Intelligent Robots and Systems, (IROS 2005), IEEE (2005) pp. 1009–1016.Google Scholar
42. Konyev, M., Palis, F., Zavgorodniy, Y., Melnikov, A., Rudskiy, A., Telesh, A., Schmucker, U. and Rusin, V., “Walking Robot Anton: Design, Simulation, Experiments,” Proceedings of 11th International Conference on Climbing and Walking Robots (CLAWAR) (2008) pp. 922–929.Google Scholar
43. Krishnan, R., Electric Motor Drives Modeling, Analysis and Control (Prentice Hall, 2001).Google Scholar
44. Kubelka, V., Oswald, L., Pomerleau, F., Colas, F., Svoboda, T. and Reinstein, M., “Robust Data Fusion of Multimodal Sensory Information for Mobile Robots,” J. Field Robot. (Early View) (2014).Google Scholar
45. Lewinger, W. A., Branicky, M. S. and Quinn, R. D., “Insect-Inspired, Actively Compliant Hexapod Capable of Object Manipulation,” Proceedings CLAWAR 2005, 8th International Conference on Climbing and Walking Robots 8, 6572 (2005).Google Scholar
46. Lin, P.-C., Komsuoglu, H. and Koditschek, D. E., “A leg configuration measurement system for full-body pose estimates in a hexapod robot,” IEEE Trans. Robot. 21 (3), 411422 (2005).Google Scholar
47. Nelson, A. L., Barlow, G. J. and Doitsidis, L., “Fitness functions in evolutionary robotics: A survey and analysis,” Robot. Auton. Syst. 57 (4), 345370 (2009).Google Scholar
48. Odry, P., Burkus, E. and Sram, N., “Hexapod Robot as an Algorithm Developing Platform,” Available from: http://cneuro.rmki.kfki.hu/events/past/robot#odry, 2006.Google Scholar
49. Ohroku, H. and Nonami, K., “Omni-Directional Vision and 3d Animation Based Teleoperation of Hydraulically Actuated Hexapod Robot Comet-iv,” Transaction of the Japan Fluid Power System Society, Vol. 40 (2009) No. 6, pp. 117124; http://doi.org/10.5739/jfps.40.117.Google Scholar
50. Pap, Z., Kecskés, I., Burkus, E., Bazsó, F. and Odry, P., “Optimization of the Hexapod Robot Walking by Genetic Algorithm,” IEEE 8th International Symposium on Intelligent Systems and Informatics (SISY), IEEE (2010) pp. 121–126.Google Scholar
51. Porta, J. M. and Celaya, E., “Reactive free-gait generation to follow arbitrary trajectories with a hexapod robot,” Robot. Auton. Syst. 47 (4), 187201 (2004).Google Scholar
52. Ramanathan, G., Morandi, B., West, S. and Meyer, B., “Scoop for Robotics, Implementing Bio-Inspired Hexapod Locomotion, eth Zurich,” Available from: http://se.inf.ethz.ch/old/projects/ganesh_ramanathan/-report.pdf (2010).Google Scholar
53. Regenstein, K., Kerscher, T., Birkenhofer, C., Asfour, T., Zllner, J. and Dillmann, R., “A Modular Approach for Controlling Mobile Robots,” Proceedings of CLAWAR 2007, 10th International Conference on Climbing and Walking Robots (2007).Google Scholar
54. Renda, F., Giorelli, M., Calisti, M. and Cianchetti, M., “Dynamic model of a multibending soft robot arm driven by cables,” IEEE Trans. Robot. 30 (5), 11091122 (2014).Google Scholar
55. Ricardo, D. and Costa, C., Hexapod Locomotion: A Nonlinear Dynamical Systems Approach Ph.D. Thesis (Universidade do Minho, Escola de Engenharia, 2010).Google Scholar
56. Rone, W. S. and Ben-Tzvi, P., “Continuum robot dynamics utilizing the principle of virtual power,” Trans. Robot. 30 (1), 275287 (2014).Google Scholar
57. Rudas, J. I. and Fodor, J., “Intelligent systems,” Int. J. Computers, Communications & Control 3, ISSN , Suppl. issue: Proceedings of ICCCC 2008, pp. 132138 (2008).Google Scholar
58. Saranli, U., Buehler, M. and Koditschek, D. E., “Rhex: A simple and highly mobile hexapod robot,” Int. J. Robot. Res. 20 (7), 616631 (2001).Google Scholar
59. Fernando Silva, M. and Tenreiro Machado, J. A., “A historical perspective of legged robots,” J. Vib. Control 13 (9–10), 14471486 (2007).Google Scholar
60. Fernando Silva, M. and Tenreiro Machado, J. A., “A literature review on the optimization of legged robots,” J. Vib. Control 18 (12), 17531767 (2012).Google Scholar
61. Tedeschi, F. and Carbone, G., “Design issues for hexapod walking robots,” Robotics 3 (2), 181206 (2014).Google Scholar
62. Trochim, W. M., Types of reliability in the research methods knowledge base, 2nd ed. Available from: http://www.socialresearchmethods.net/kb/reltypes.php (2006).Google Scholar
63. Veres, J., Bio-Inspired Low-Cost Robotic Joint With Reduced Level Of Backlash And A Novel Approach - The Emulated Elastic Actuator. Ph.D. Thesis (Faculty of Information Technology, Pázmány Péter Catholic University, Budapest, 2013). Available from: https://itk.ppke.hu/uploads/articles/162/file/thesis_book_verjoz_eng.pdf Google Scholar
64. Von, A. Twickel, Hild, M., Siedel, T., Patel, V. and Pasemann, F., “Neural control of a modular multi-legged walking machine: Simulation and hardware,” Robot. Auton. Syst. 60 (2), 227241 (2012).Google Scholar
65. Woering, R., Simulating the “First Steps” of a Walking Hexapod Robot Ph.D. thesis, Master's thesis (Eindhoven: Technische Universiteit Eindhoven, CST 2010 (2011)).Google Scholar
66. Zheng, T., Godage, I. S., Branson, D. T., Kang, R., Guglielmino, E., Medrano-Cerda, G. A. and Caldwell, D. G., “Octopus Inspired Walking Robot: Design, Control and Experimental Validation,” IEEE International Conference on Robotics and Automation (ICRA), IEEE (2013) pp. 816–821.Google Scholar
67. Zielinska, T. and Heng, J., “Development of a walking machine: Mechanical design and control problems,” Mechatronics 12 (5), 737754 (2002).Google Scholar

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