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2013 | OriginalPaper | Buchkapitel

Using the Center of Percussion to Simplify a Biped to Four Point Masses

verfasst von : M. Alba, J. C. Garcia Prada, C. Castejon

Erschienen in: New Trends in Mechanism and Machine Science

Verlag: Springer Netherlands

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Abstract

In this paper a novel strategy to construct a dynamically equivalent model of a biped robot is proposed. The model is composed by four point masses, one at the hip, one at each leg and one at the group composed by the head, arms and trunk. The masses are located at the center of percussion of each group. The method to obtain the equivalent model is described, and such a model is obtained out of a biped with parameters close to a human being. Once the equivalent model is obtained, it is validated by performing a decoupling of the dynamics of the biped and testing it using step inputs. The decoupling is done using the information provided by the equivalent model. Finally with the decoupled dynamics, the undamped natural frequency of each group (they are the both legs and the head, arms and trunk group) is calculated to confirm that each controller behaves linearly.

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Fußnoten
1
This group is often called HAT, that stands for head, arms and trunk.
 
2
The groups are the HAT group, and the swing leg.
 
3
Notice that the reference is not inertial, therefore there are several components of the acceleration not considered here. To solve this problem, the error is minimized by the corresponding PD control action.
 
4
The gains are selected to produce fast swinging of one leg, while the other gains are low enough to be sensible to the perturbations produced by the swinging leg.
 
Literatur
1.
Zurück zum Zitat Abdallah, M., Goswami, A.: A biomechanically motivated two-phase strategy for biped upright balance control. In: Proceedings of the IEEE International Conference on Robots and Automation, Barcelona, pp. 1996–2001 (2005) Abdallah, M., Goswami, A.: A biomechanically motivated two-phase strategy for biped upright balance control. In: Proceedings of the IEEE International Conference on Robots and Automation, Barcelona, pp. 1996–2001 (2005)
2.
Zurück zum Zitat Alba, M., Garcia Prada, J., Meneses, J., Rubio, H.: Center of percussion and gait design of biped robots. Mech. Mach. Theory 45(11), 1681–1693 (2010)MATHCrossRef Alba, M., Garcia Prada, J., Meneses, J., Rubio, H.: Center of percussion and gait design of biped robots. Mech. Mach. Theory 45(11), 1681–1693 (2010)MATHCrossRef
3.
Zurück zum Zitat Aoi, S., Ogihara, N., Funato, T., Sugimoto, Y., Tsuchiya, K.: Evaluating functional roles of phase resetting in generation of adaptive human bipedal walking with a physiologically based model of the spinal pattern generator. Biol cybern 102(5), 373–387 (2010). doi: 10.1007/s00422-010-0373-yCrossRef Aoi, S., Ogihara, N., Funato, T., Sugimoto, Y., Tsuchiya, K.: Evaluating functional roles of phase resetting in generation of adaptive human bipedal walking with a physiologically based model of the spinal pattern generator. Biol cybern 102(5), 373–387 (2010). doi: 10.1007/s00422-010-0373-yCrossRef
4.
Zurück zum Zitat Asano, F., Yamakita, M.: Virtual gravity and coupling control for robotic gait synthesis. IEEE Trans. Syst. Man Cybern. 31(6), 737–745 (2001)CrossRef Asano, F., Yamakita, M.: Virtual gravity and coupling control for robotic gait synthesis. IEEE Trans. Syst. Man Cybern. 31(6), 737–745 (2001)CrossRef
5.
Zurück zum Zitat Chardonnet, J.R., David, A., Yokoi, K.: Interactive dynamic simulator for humanoid robots with deformable soles. In: Proceedings of 26th the Annual Conference of the Robotics Society of Japan (RSJ), Kobe, pp. 1–3 (2008) Chardonnet, J.R., David, A., Yokoi, K.: Interactive dynamic simulator for humanoid robots with deformable soles. In: Proceedings of 26th the Annual Conference of the Robotics Society of Japan (RSJ), Kobe, pp. 1–3 (2008)
6.
Zurück zum Zitat Feng, S., Sun, Z.: Biped robot walking using three-mass linear. In: International Conference on Intelligent Robotics and Applications: Part I, pp. 371–380. Springer, Berlin/Heidelberg (2008) Feng, S., Sun, Z.: Biped robot walking using three-mass linear. In: International Conference on Intelligent Robotics and Applications: Part I, pp. 371–380. Springer, Berlin/Heidelberg (2008)
7.
Zurück zum Zitat Garcia, M., Chatterjee, A., Ruina, A., Coleman, M.: The simplest walking model: stability, complexity, and scaling. J. Biomech. Eng. 120(2), 281–288 (1998)CrossRef Garcia, M., Chatterjee, A., Ruina, A., Coleman, M.: The simplest walking model: stability, complexity, and scaling. J. Biomech. Eng. 120(2), 281–288 (1998)CrossRef
8.
Zurück zum Zitat Motoi, N., Suzuki, T., Ohnishi, K.: A bipedal locomotion planning based on virtual linear inverted pendulum mode. IEEE Trans. Ind. Electron. 56(1), 54–61 (2009)CrossRef Motoi, N., Suzuki, T., Ohnishi, K.: A bipedal locomotion planning based on virtual linear inverted pendulum mode. IEEE Trans. Ind. Electron. 56(1), 54–61 (2009)CrossRef
9.
Zurück zum Zitat Nakaoka, S., Hattori, S., Kanehiro, F., Kajita, S., Hirukawa, H.: Constraint-based dynamics simulator for humanoid robots with shock absorbing mechanism. In: Proceedings of the International Conference on Intelligent Robots and Systems (IEEE/RSJ), San Diego, pp. 3641–3647 (2007) Nakaoka, S., Hattori, S., Kanehiro, F., Kajita, S., Hirukawa, H.: Constraint-based dynamics simulator for humanoid robots with shock absorbing mechanism. In: Proceedings of the International Conference on Intelligent Robots and Systems (IEEE/RSJ), San Diego, pp. 3641–3647 (2007)
10.
Zurück zum Zitat Pratt, J.: Exploiting inherent robustness and natural dynamics in the control of bipedal walking robots. Ph.D. thesis, Massachusetts Institute of Technology (2000) Pratt, J.: Exploiting inherent robustness and natural dynamics in the control of bipedal walking robots. Ph.D. thesis, Massachusetts Institute of Technology (2000)
11.
Zurück zum Zitat Raibert, M.H.: Legged Robots That Balance. MIT, Cambridge (1986) Raibert, M.H.: Legged Robots That Balance. MIT, Cambridge (1986)
12.
Zurück zum Zitat Serhan, H., Nasr, C., Henaff, P., Ouezdou, F.: A new control strategy for ROBIAN biped robot inspired from human walking. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) 2008, Nice, pp. 2479–2485 (2008) Serhan, H., Nasr, C., Henaff, P., Ouezdou, F.: A new control strategy for ROBIAN biped robot inspired from human walking. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) 2008, Nice, pp. 2479–2485 (2008)
13.
Zurück zum Zitat Winter, D.A.: Biomechanics and Motor Control of Human Movement, 4th edn. Wiley, New York (2004) Winter, D.A.: Biomechanics and Motor Control of Human Movement, 4th edn. Wiley, New York (2004)
14.
Zurück zum Zitat Xiang, Y., Chung, H.J., Kim, J.H., Bhatt, R., Rahmatalla, S., Yang, J., Marler, T., Arora, J.S., Abdel-Malek, K.: Predictive dynamics: an optimization-based novel approach for human motion simulation. Struct. Multidiscip. Optim. 41(3), 465–479 (2009). doi: 10.1007/s00158-009-0423-zMathSciNetCrossRef Xiang, Y., Chung, H.J., Kim, J.H., Bhatt, R., Rahmatalla, S., Yang, J., Marler, T., Arora, J.S., Abdel-Malek, K.: Predictive dynamics: an optimization-based novel approach for human motion simulation. Struct. Multidiscip. Optim. 41(3), 465–479 (2009). doi: 10.1007/s00158-009-0423-zMathSciNetCrossRef
Metadaten
Titel
Using the Center of Percussion to Simplify a Biped to Four Point Masses
verfasst von
M. Alba
J. C. Garcia Prada
C. Castejon
Copyright-Jahr
2013
Verlag
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-4902-3_56

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