Extension Hybrid Force-Position Robot Control in Higher Dimensions

Abstract:

The paper presents an advanced method for solving contradictory problems of hybrid position-force control of the movement of walking robots by applying a 2D Extension Set. Using the linear and non-linear attraction point principle and the network of attraction curves, there is determined the 2D space Dependent Function generated by position and force in order to solve the robot real time control. The generalization of the extension distance and dependent function uses Extenics in Higher Dimensions theory eliminates the crisp logic matrix of Cantor logic which describes the position-force sequences. Thus was developed an optimization method for hybrid position-force control which ensures positioning precision and robot movement stability on rough terrain. The final conclusions lead to development of a methodology that allows obtaining high level results for hybrid position-force control using extended transformations onto the real numbers set and an optimization function generated by the extended dependence function in 2 D space.

• Periodical: Applied Mechanics and Materials (Volume 332)
• Pages: 260-269
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.332.260
• Online since: July 2013
• Authors: Victor Vladareanu, Florentin Smarandache, Luige Vladareanu
• Keywords: Extenics in Higher Dimensions, Hybrid Force-Position Control, Linear, Network of Attraction Curves, Non-Linear Attraction Point Principle

References

[1] Cai Wen. Extension Set and Non-Compatible Problems [J]. Journal of Scientific Exploration, 1983, (1): 83-97.

[2] Yang Chunyan, Cai Wen. Extension Engineering [M]. Beijing: Science Press, 2007.

[3] F Florentin Smarandache, "Extenics in Higher Dimensions", Education Publisher, USA, p.114, cap.1, "Generalizations of the Distance and Dependent Function in Extenics to 2D, 3D, and n-D", pg. 1-21, ISBN: 9781599732039

[4] Smarandache Florentin, Vladareanu Victor, Applications of Extenics to 2D-Space and 3D-Space, The 6th Conference on Software, Knowledge, Information Management and Applications, Chengdu, China.Sept. 9-11, 2012 p.12

[5] Luige Vladareanu1, Gabriela Tont, Ion Ion, Victor Vladareanu, Daniel Mitroi, Modeling and Hybrid Position-Force Control of Walking Modular Robots, ISI Proceedings, Recent Advances in Applied Mathematics, Harvard University, Cambridge, USA, 2010, pg. 510-518, ISBN 978-960-474-150-2, ISSN 1790-2769.

[6] Vladareanu L., Capitanu L., "Hybrid Force-Position Systems with Vibration Control for Improvment of Hip Implant Stability" Journal of Biomechanics, vol. 45, S279, Elsevier, 2012.

DOI: 10.1016/s0021-9290(12)70280-4

[7] Cai Wen. Extension Theory and Its Application [J]. Chinese Science Bulletin, 1999, 44(17): 1538-1548

[8] An C.H., Hollerbach J.M., The Role of Dynamic Models in Cartesian Force Control of Manipulators, The International Journal of Robotics Research,Vol.8,No.4, August 1989,pg. 51-71

[9] Fisher W.D., Mujtaba M.S. - Hybrid Position/Force Control: A Correct Formulation, The International Journal of Robotics Research, Vol. 11, No. 4, August 1992, pp.299-311.

DOI: 10.1177/027836499201100403

[10] Yang Chunyan. The Methodology of Extenics [A]. Extenics: Its Significance in Science and Prospects in Application[C]. The 271th Symposium's Proceedings of Xiangshan Science Conference, 2005, 12: 35-38.

[11] Vladareanu, L., Tont, G., Ion, I., Munteanu, M. S., Mitroi, D., "Walking Robots Dynamic Control Systems on an Uneven Terrain", Advances in Electrical and Computer Engineering, ISSN 1582-7445, e-ISSN 1844-7600, vol. 10, no. 2, pp.146-153, 2010

DOI: 10.4316/AECE.2010.02026

[12] Guan Feng-Xu, Wang Ke-Jun. Study on Extension Control Strategy of Pendulum System [J]. Journal Of Harbin Institute Of Technology, 2006, 38(7): 1146-1149.

[13] Wong Chingchang ，Chen Jenyang. Adaptive Extension Controller Design for Nonlinear Systems [J]. Engineering Science, 2001, 3 (7): 54-58.

[14] Zhi Chen, Yongquan Yu. To Find the Key Matter-Element Research of Extension Detecting [A]. Int. Conf. Computer, Communication and Control Technologies(CCCT) [C]. Florida, USA, 2003, 7.

[15] L. Vladareanu, Cai Wen, R.I. Munteanu, Yang Chunyan, V. Vladareanu, R.A. Munteanu, Li Weihua, F. Smarandache, A.I. Gal, Method and device for extension hybrid force-position control of the robotic and mechatronics systems, Patent, p.20, OSIM A2012 1077/28.12.(2012)

DOI: 10.4028/www.scientific.net/amm.332.260