Synthesis of the control algorithms based on varying structures allows increased operating effectiveness of the control systems. The paper presents an alternative combined control method for angular velocities stabilization of an axisymmetric solid based on optimal synthesis using the joint maximum principle and the predicting model method. The control structure transition procedure is implemented using fuzzy logic methods. The proposed approach effectiveness was verified using modeling results.

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An urgent issue is to obtain optimal control laws for nonlinear dynamic objects. The article presents a numerical algorithm to control stabilization of the angular velocities of spacecraft with various axial moments of inertia based on optimization with respect to the Krasovsky functional using the predictive model method. The simulation results are presented. The character of the curves of angular velocity dynamics and control moments obtained in the simulation corresponds to the curves of angular velocity dynamics and control moments obtained in the simulation of control using the analytical law for an axisymmetric spacecraft, which confirms the adequacy of the synthesized algorithm.

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