Research of dynamic properties of control systems with increased potential of robust stability in a class of two-parameter structurally stable maps by Lyapunov function

摘要

The proposed paper presents a method of constructing a control system with increased potential of robust stability for systems with uncertain parameters in the two-parameter class of structurally stable maps of catastrophe theory to synthesize highly efficient management system, have the property of stability for any changes in uncertain parameters. In conditions of parametric uncertainty increased potential of robust stability is a key factor in ensuring the protection of the control system from falling into the chaotic motion, and also guarantees the reliability of the system. Research of robust stability control system based on the method of vector function Lyapunov, based on the geometric interpretation of the direct method A.M. Lyapunov, and the Morse lemma of catastrophe theory.