Analysis of Dynamics and Synthesis of Parameters of the Rocket’s Roll Angular Stabilization System by Transfer Function Coefficients

This article addresses the challenges of ensuring stability and maintaining a specified control quality for the rotational motion of a rocket along the roll channel under conditions where the aerodynamic parameters vary widely. The solution to these problems is based on using the coefficients of the characteristic polynomial, which are directly related to the physical parameters of the system. It is demonstrated that the coefficient method, combined with sufficient conditions for stability and achieving specified control quality indicators, obviates the need for calculating the roots of the characteristic equation. Analytical dependencies for the physical parameters that the angular stabilization system must satisfy are derived based on sufficient stability conditions and the attainment of specified control quality indicators. In the parameter space of the control law, stability regions and regions with specified values of control quality indicators for the rocket's angular stabilization system are constructed. The paper also presents the outcomes of numerical simulations involving the dynamics of the angular stabilization system during the roll of an experimental rocket model. These results demonstrate the efficacy of the proposed coefficient-based method for both analysis and synthesis.