Adaptive Stabilization of a Saddle Steady State of a Conservative Dynamical System: a Spacecraft at the Lagrange Point L2 of the Sun–Earth System
نویسندگان
چکیده
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.
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