Stabilization of saddle steady states of conservative and weakly damped dissipative dynamical systems.
An adaptive feedback method for tracking and stabilizing unknown and/or slowly varying saddle-type steady states of conservative and weakly damped dissipative dynamical systems is proposed. We demonstrate that a conservative saddle point can be stabilized with neither unstable nor stable filter technique. The proposed controller involves both filters working in parallel. As a specific example, the Lagrange point L2 of the Sun-Earth system is discussed and the second-order saddle model is considered. Analog simulations have been performed using an inclusive nonlinear electrical circuit, imitating dynamics of a body along the Sun-Earth line. External chaotic perturbations have been used to check the robustness of the control technique.
Tamasevicius
Arūnas
A
Semiconductor Physics Institute, Center for Physical Sciences and Technology, LT-01108 Vilnius, Lithuania. tamasev@pfi.lt
Tamaseviciūte
Elena
E
Mykolaitis
Gytis
G
Bumeliene
Skaidra
S
Kirvaitis
Raimundas
R