Synergetic Control of Spatial Motion for Spacecraft

Abstract

This article demonstrates the implementation of new principles and nonlinear methods for synergetic control theory to develop rules that govern the spatial movement of a spacecraft. The text introduces a model of control systems that incorporates the principles of "expansion-contraction" of phase space and the notion of equivalence (conservation) of controls. The proposed approach employs a coordinated control strategy that encompasses all state variables to effectively transition the item to the target state. In certain control algorithms, the interconnections between control channels are established directly within the regulator, rather than being mediated through the control object. Subsequently, the implemented techniques generated control rules that guarantee the spacecraft's transition from any initial condition within a specific acceptable range to the target state. The findings obtained from the nonlinear model demonstrate the overall asymptotic stability, robustness to parameter variations, and resistance to external disturbances of the closed system "SC-autopilot".