Open Access Open Access  Restricted Access Subscription or Fee Access

Solution of Optimization Problems Using Duality Method


(*) Corresponding author


Authors' affiliations


DOI: https://doi.org/10.15866/ireme.v11i5.11594

Abstract


The work is devoted to the solution of the problem of optimal operation speed of the double link manipulator by means of dual method which consists in replacing the original problem with uncertain control time by a fixed time control problem.
Copyright © 2017 Praise Worthy Prize - All rights reserved.

Keywords


Optimal Problem; Manipulator; Duality Method; Euler-Lagrange Equations

Full Text:

PDF


References


Owen Bishop, Robot Builder's Cookbook. Published by Elsevier Ltd, 2007

S.L. Zenkevich, A.S. Yushchenko, Fundamentals of control robotic manipulator. – Moscow. Publishing House of the MSTU of Bauman, 2004 (in Russian)

S.V. Lutmanov, L.V. Kuksenok, E.S. Popova, Management objectives articulated manipulator with rotational kinematic pairs //Basic Research. - 2013, № 6, pp 886-891. (in Russian)

A.S. Andreev, O.A. Peregudova, About two-tier management arm with elastic joints. Nonlinear Dynamics, 2015, V. 11, N 2, pp 267-277. (in Russian)

E.I. Yurievich, Fundamentals of Robotics. - St. Petersburg: BHV-Petersburg, 2005 (in Russian)

F.L. Chernousko, I.M. Ananevskij, S.A. Reshmin, Methods of control of nonlinear mechanical systems. Moscow. FIZMATLIT, 2006. (in Russian)

F.L. Chernousko, N.N. Bolotnik, V.G. Gradetsky, Manipulation Robots: dynamics, management, optimization. Moscow. Nauka, 1989 (in Russian)

F.L. Chernousko, L.D. Akulenko, B.N. Sokolov, Variations in management. Moscow. Nauka, 1980 (in Russian)

F. L. Chernousko, N. N. Bolotnik, Mobile robots controlled by the motion of internal bodies, IPMech RAS, 16, no. 5, 2010, pp 213–222 (in Russian)

F.L. Chernousko, V.B. Kolmanovskii, Numerical and approximate methods of optimal control //Results of science and technology. A series of mathematical analysis. Moscow. 1977, V.14, pp 101-166 (in Russian)

F.L. Chernousko, Optimal control problem with mixed constraints //Math. Russian Academy of Sciences. Theory. and syst. cont. - 1995, N 4, pp 103-113 (in Russian)

N.N. Bolotnik, A.A. Kaplunov, Optimal rectilinear movement of cargo by means of a two-link manipulator //Math. USSR Academy of Sciences. Tech. cybernetics. 1982, N 1, pp 180-170 (in Russian)

N.N. Bolotnik, A.A. Kaplunov, Optimizing the management and configuration of two-link manipulator //Math. USSR Academy of Sciences. Tech. cybernetics. 1983, N 4, pp 144-150 (in Russian)

A.E. Bryson, Jr. Yu-Chi Ho, Applied optimal control. Waltham, Massachusetts Toronto, London, 1969

A.A. Sukhanov, Reduction of transcendental equations nonlinear mechanics to the algebraic mean. – Leningrad. LTSNTI, 1983, Inform. leaf N 691-83 (in Russian)

A.A. Sukhanov, A method for solving nonlinear two-point boundary value problems. - Journal Mat. and Math. Phys., 1983, V. 23, N 1, pp 228-231(in Russian)

H. Kagiwada, R. Kalaba, N. Rasakhoo and K. Spingarn, Numerical experiments using Sukhanov’s initial-value method for nonlinear two-point boundary value problems //Computers and Mathematics with Applications, 1984, Vol. 10, Nos. 4/5, pp. 327-330
http://dx.doi.org/10.1016/0898-1221(84)90060-9

A.A. Sukhanov, On the numerical solution of boundary value problems of optimization by moving target //Algorithms and software for physical problems. Leningrad. Publishing house of the Ioffe Institute, 1983, pp 143-157 (in Russian)

A.A. Sukhanov, Reduction of the transcendental and irrational functions in differential equations to algebraic mean // Computer simulation 2016: Proceedings of the National Science and Technology Conference, 5-6 July 2016. – St. Petersburg. Publishing house of the Polytechnic University Press, 2016, pp 51-60


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize