Design of Control System with Increased Potential of Robust Stability in a Class of four-parameter structurally stable mappings for Spacecraft Model

摘要

In this paper we study the robust stability of control system that can keep stability while changing the parameters of the object within a feasible region. As a control law is considered parabolic umbilic catastrophe function. The equation of spacecraft is given as a solid body, which performs progressive rotation motion. Well-advised the control system with increased potential of robust stability of nonlinear spacecraft in a class of four-parameter structurally stable mappings. Rotational motion of the spacecraft is controlled by the orientation and stabilization system. To investigate the stability of the system is used Lyapunov function method. The analysis of the stability of the region, excluding the generation of deterministic chaos in dynamic system is examined.