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Abstract

High acceleration and extreme load are frequently appeared on high-speed locomotion of legged robot’s legs, imposing a challenging trade-off between weight and torque in leg design. This paper proposes a new design paradigm based on cable-drive and elastic linkage to solve the problem. The details of the design procedure are given, including the construction of the single leg. With the optimum design of the linkage mechanism, a combined index of the workspace and tracking error are used as object function, and taking geometrical design parameters of the linkage as optimization parameters. Based on the target workspace and the spring-loaded inverted pendulum model, the best foot trajectory in obstacle climbing and trotting gait are analyzed and illustrated. This paper built linkage cable-drive spring robot based on the legged module integration. Simulations and experiments indicate that linkage cable-drive spring robot performs stable trotting with control of the spring-loaded inverted pendulum model. Linkage cable-drive spring robot prototype experiments results are provided to verify the validity of the new method.

Keywords

Legged robot elastic linkage workspace spring-loaded inverted pendulum model tracking error linkage cable-drive spring robot

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References

Siciliano

Khatib

. Springer handbook of robotics. Springer Handbook Robot 2008; 56: 361–389.

Arvind

Mojtaba

Sangbae

. Towards a bio-inspired leg design for high-speed running. Bioinspirat Biomimet 2012; 7: 045005–045005. (12pp).

Seok

Wang

Michael Chuah

et al.

Design principles for energy-efficient legged locomotion and implementation on the MIT Cheetah robot. IEEE/ASME Transac Mechatron 2014; 20: 1–13.

Boston Dynamics Inc. BigDog – the most advanced rough-terrain robot on earth[OL], www.bostondynamics.com/robot_bigdog.html (accessed 6 June 2016).

Federico

Alexander

Alexandre

et al.

Horse-like walking, trotting, and galloping derived from kinematic Motion Primitives (kMPs) and their application to walk/trot transitions in a compliant quadruped robot. Biol Cybernet 2013; 6: 309–320.

Spenko

Haynes

Saunders

et al.

Biologically inspired climbing with a hexapedal robot. J Field Robot 2008; 25: 223–242.

Autumn

Buehler

Rizzi

et al.

Robotics in scansorial environments. Proc SPIE 2005; 5804: 291–302.

Haynes G, Khripin A, Lynch G, et al. Rapid pole climbing with a quadrupedal robot. In: IEEE international conference on robotics and automation, Japan, 12–17 May 2009, pp.2767–2772. USA: IEEE.

Jesse AG and Jonathan WH. The design of atrias 1.0 a unique monopod, hopping robot. In: Proceedings of the 15th international conference on climbing and walking robots and the support technologies for mobile machines, Baltimore, MD, USA, 23–26 July 2012, pp.538–544. Singapore: World Scientific.

10.

Daniel

Alexander

Andrew

et al.

Exciting engineered passive dynamics in a bipedal robot. IEEE Transac Robot 2015; 31: 1244–1251.

11.

Menegaldo

Santana

RES

Fleury

ADT

. Kinematical modeling and optimal design of a biped robot joint parallel linkage. J Braz Soc Mech Sci Eng 2006; 28: 505–511.

12.

Ya-guang Zhu, Jin B, Li W, et al. Optimal design of hexapod walking robot leg structure based on energy consumption and workspace. Transactions of Canadian Society for Mechanical Engineering 2014, 38(3): 305–317.

13.

Gao

Ming-Xiang

Yu-Yin

et al.

Singularity analysis and dimensional optimization on a novel serial-parallel leg mechanism. Proc Eng 2017; 174: 45–52.

14.

Jianxu

Yanan

Qiang

et al.

Design and optimization of a dual quadruped vehicle based on wholeclose-chain mechanism. Proc IMechE, Part C: J Mechanical Engineering Science 2017; 231: 0954406216650473–0954406216650473.

15.

Luo

Liu

. Design and optimization of wheel-legged robot: rolling-wolf. Chin J Mech Eng 2014; 27: 1133–1142.

16.

Park

Kim

Jeong

et al.

Optimal dimensioning of redundantly actuated mechanism for maximizing energy efficiency and workspace via Taguchi method. Proc IMechE, Part C: J Mechanical Engineering Science 2016; 231(2): 326–340.

17.

Sangrok Jin, Kim J, Kim J, et al. Six-Degree-of-Freedom Hovering Control of an Underwater Robotic Platform With Four Tilting Thrusters via Selective Switching Control. IEEE-ASME Transactions on Mechatronics 2015, 20(5): 2370–2378.

18.

Maufroy C, Nishikawa T and Kimura H. Stable dynamic walking of a quadruped robot “Kotetsu” using phase modulations based on leg loading/unloading. In: IEEE international conference on robotics and automation, Anchorage, Alaska, 3–8 May 2010, pp.5225–5230. USA: IEEE.

19.

Koo IM, Trong TD, Kang TH, et al. Control of a quadruped walking robot based on biologically inspired approach. In: IEEE/RSJ international conference on intelligent robots and systems, San Diego, California, 29 October–2 November 2007, pp.2969–2974. USA: IEEE Xplore.

20.

Zhang X, Zheng H, Xu G, et al. A biological inspired quadruped robot: structure and control. In: IEEE international conference on robotics and biomimetics, Shatin, China, 5–9 July 2005, pp.387–392. USA: IEEE.

21.

Pratt

. Legged robots at MIT: what’s new since Raibert? IEEE Robot Autom Mag 2000; 7: 15–19.

22.

Poulakakis

Grizzle

. The spring loaded inverted pendulum as the hybrid zero dynamics of an asymmetric hopper. IEEE Transac Autom Control 2009; 54: 1779–1793.

23.

Hurst JW, Chestnutt JE and Rizzi AA. Design and philosophy of the BiMASC, a highly dynamic biped. In: IEEE international conference on robotics and automation, Anchorage, Alaska, 3–8 May 2010, pp.1863–1868. USA: IEEE.

24.

Norton

. Design of machinery: an introduction to the synthesis and analysis of mechanisms and machines, Boston: Mcgraw Hill Book Co, 2004; 96.

25.

Craig

. Introduction to robotics – mechanics and control, 3rd ed. Boston: Addison-Wesley Publication Company, 2010, pp. 135–159.

26.

Marc

. Legged robots that balance, Cambridge, Massachusetts, London, England: The MIT Press, 1986, pp. 30–56.

27.

Antonio

F-T*

Lorenz

. Simultaneous mixed-integer dynamic optimization for integrated design and control. Comput Chem Eng 2007; 31: 588–600.

28.

JorgeSantana-Cabrera. Optimization of the dimensionless model of an electrostatic microswitch based on AMGA algorithm, Switzerland: Springer International Publishing, 2015, pp. 501–509.

29.

Zheng

Kai

. Application of AMGA in the mixed model two-sided assembly line type balancing problem, Switzerland: Trans Tech Publications, 2014, pp. 1916–1920.

30.

Sanagi T, Ohsawa K, Nakamura Y, et al. AMGA: an archive-based micro genetic algorithm for multi-objective optimization. In: Conference on genetic & evolutionary computation, Georgia, USA, 12–16 July 2008, pp.729–736. New York, USA: Association for Computing Machinery.

31.

Mantian

Zhenyu

et al.

Control of a quadruped robot with bionic springy legs in trotting gait. J Bionic Eng 2014; 11: 188–198.

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Design and optimization of an elastic linkage quadruped robot based on workspace and tracking error

Abstract

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