Adaptive stabilization of a saddle state of a conservative dynamical system: a spacecraft at the Lagrange point L2 of the Sun-Earth system
Date
2010Author
Tamaševičiūtė, Elena
Mykolaitis, Gytis
Bumelienė, Skaidra
Tamaševičius, Arūnas Vytautas
Metadata
Show full item recordAbstract
An adaptive feedback method for tracking and stabilizing unknown or slowly varying saddle type steady states of conservative dynamical systems is proposed. We demonstrate that a conservative saddle point can be stabilized with neither unstable nor stable filter technique. The suggested controller involves both filters working in parallel. As a specific example, the Lagrange point L2 of the Sun-Earth system is discussed and a general second order saddle model is considered.