Abstract
The objective of this paper is to obtain time-variant optimal gaits for under-actuated biped robot via optimization. A time-variant gait planning method based on genetic algorithm is proposed in this paper. The reference trajectories of the actuated joints are defined as polynomial functions of time t. The trajectory of the under-actuated joint can be deduced from the rotational dynamics of the biped. To get the coefficients of the polynomial functions, optimization method based on genetic algorithm is adopted and minimal torque cost is chosen as the optimize criteria. Various low torque cost gaits can be obtained by considering different constraints during optimization. Simulation results illustrate the efficiency of our method.
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References
Xiong YY (2012) Research on walking control for under-actuated planar biped robot, (in Chinese)
Furuta T, Shimomura M, Tawara T, Endo K, Okumura Y, Shimizu M, et al (2003) In: Muscato G, Longo D (eds) Realtime ZMP compensation for humanoid robot ‘morph3’ using adaptive inertia force control. Professional Engineering Publishing Ltd, Westminister, pp 171–179
Spong MW, Holm JK, Lee D (2007) Passivity-based control of bipedal locomotion: regulating walking by exploiting passive gaits in 2-D and 3-D bipeds. IEEE Robot Autom Mag 14(2):30–40. PubMed PMID: WOS:000247833500007. English
Anderson SO, Wisse M, Atkeson CG, Hodgins JK, Zeglin GJ, Moyer B (eds) (2005) Powered bipeds based on passive dynamic principles. Humanoid robots, 2005 5th IEEE-RAS international conference on; 2005 5–5
Chevallereau C, Formal’sky A, Djoudi D (2004) Tracking a joint path for the walk of an underactuated biped. Robotica. 2004 Jan–Feb 22:15–28. English
Chemori A, Loria A (eds) (2004) Walking control strategy for a planar under-actuated biped robot based on optimal reference trajectories and partial feedback linearization. In: Robot motion and control, 2004 RoMoCo’04 proceedings of the fourth international workshop, 17–20 June 2004
Westervelt ER, Grizzle JW (eds) (2002) Design of asymptotically stable walking for a 5-link planar biped walker via optimization. In: Robotics and automation, 2002 proceedings ICRA ‘02 IEEE international conference on 2002
Fu CL, Chen K (2006) Gait planning and nonlinear control of dynamic walking for a five-link, four-actuator, planar biped robot. Robot 28:7 (in Chinese)
Zeyang X, Guodong C, Zhenzhong J, Jing X, Chen K (eds) (2009) Human walking capture and its inspiration to biped gait planning. Mechatronics and Automation, 2009 ICMA 2009 International Conference 9–12 Aug 2009
Kurcmatsu Y, Katayama O, Iwata M, Kitamura S (eds) (1991) Autonomous trajectory generation of a biped locomotive robot. In: Neural networks, 1991 IEEE international joint conference 18–21 Nov 1991
Sabourin C, Bruneau O, Buche G (2005) IEEE. Experimental validation of a robust control strategy for the robot RABBIT. In: 2005 IEEE international conference on robotics and automation. IEEE International conference on robotics and automation. IEEE, New York, pp 2393–2398
Chevallereau C, Aoustin Y (2001) Optimal reference trajectories for walking and running of a biped robot. Robotica. 2001 Sep-Oct;19:557-69. PubMed PMID: WOS:000171492800009. English
Grizzle JW, Abba G, Plestan F (2001) Asymptotically stable walking for biped robots: Analysis via systems with impulse effects (vol 46, pg 51, 2001). IEEE Trans Autom Control 46(3):513. PubMed PMID: WOS:000167658000025. English
Chevallereau C, Abba G, Aoustin Y, Plestan F, Westervelt ER, Canudas-de-Wit C et al (2003) RABBIT: a testbed for advanced control theory. IEEE Control Syst 23(5):57–79
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OuYang, X., Pan, G., Yu, L. (2013). Time-Variant Gait Planning for Under-Actuated Biped Robot via Optimization. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38524-7_35
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DOI: https://doi.org/10.1007/978-3-642-38524-7_35
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