Construction of Control Systems with High Potential of Robust Stability in the Case of Catastrophe Elliptical Umbilic

摘要

This article is cover the study of control systems with a high potential of robust stability is formed in class of three-parameter structurally stable mapping (elliptical umbilic) for objects with m inputs and n outputs. Research of robust stability of control systems based on the construction of Lyapunov function. Lyapunov's function is formed as vector-function, antigradient of which is given by velocity vector's components. Stability region of steady states of the system is obtained in the form of simple inequations according to uncertain parameters of control object and selected controller parameters.