Summary

International Symposium on Nonlinear Theory and its Applications

2010

Session Number:B3L-D

Session:

Number:B3L-D3

Adaptive Stabilization of a Saddle Steady State of a Conservative Dynamical System: a Spacecraft at the Lagrange Point L2 of the Sun?Earth System

Elena Tamaseviciute,  Gytis Mykolaitis,  Skaidra Bumeliene,  Arunas Tamasevicius,  

pp.442-445

Publication Date:2010/9/5

Online ISSN:2188-5079

DOI:10.34385/proc.44.B3L-D3

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Summary:
An adaptive feedback method for tracking and stabilizing unknown or slowly varying saddle type steady states of conservative dynamical systems is described. We demonstrate that a conservative saddle point can be stabilized with neither unstable nor stable filter technique. Meanwhile, a controller, involving both filters in parallel, works perfectly. As a specific example, the Lagrange point L2 of the Sun? Earth system is discussed and a general second order saddle model is considered.