DocumentCode :
581545
Title :
Towards using feedback mechanisms for numerical integration of Hamiltonian systems: A spring-mass benchmark
Author :
Hua Chen ; Chao Xu
Author_Institution :
Dept. of Control Sci. & Eng., Zhejiang Univ., Hangzhou, China
fYear :
2012
fDate :
25-27 July 2012
Firstpage :
232
Lastpage :
236
Abstract :
Hamiltonian systems are widely used to model dynamics in physics and one of the grand challenges of this type of systems is to obtain numerical simulation results but retaining physical properties in the real physics world, especially for long term numerical time integration. The so-called symplectic algorithms have been proposed to tackle this tough problem but they are quite mathematical and require a deep understanding of symplectic geometry. In this work, we consider an alternative method based on a spring-mass benchmark using feedback mechanisms. By introducing artificial control terms, we are able to cancel the unexpected effects in numerical discretizations which destroy the physical structures of Hamiltonian systems. Numerical simulation shows a great effectiveness of the proposed methodology.
Keywords :
differential geometry; feedback; integration; nonlinear dynamical systems; Hamiltonian system; artificial control; feedback mechanisms; model dynamics; numerical simulation; numerical time integration; spring mass benchmark; symplectic algorithm; symplectic geometry; Aerospace electronics; Benchmark testing; Control systems; Energy conservation; Equations; Physics; Presses; Hamiltonian System; Harmonic Oscillator; Optimal Control; Symplectic Integration;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
ISSN :
1934-1768
Print_ISBN :
978-1-4673-2581-3
Type :
conf
Filename :
6389933
Link To Document :
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