SCIENCE

DESIGN OF CONTROL SYSTEM WITH INCREASED POTENTIAL OF ROBUST STABILITY FOR NONLINEAR OBJECT USING LYAPUNOV FUNCTION

  • 1 Faculty of Information Technologies, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan

Abstract

The article considers approach to construction of control system with increased potential of robust stability of spacecraft in the class of three-parametric structurally stable mappings. Since modern control systems are developed and operated in conditions of significant uncertainty, increasing the potential of system’s robust stability is one of the key factors that guarantee the system of protection against the generation of deterministic chaos and instability. In this regard, in conditions of great uncertainty, to build a control system with rather wide area of robust stability is proposed a method for constructing Lyapunov functions based on the geometric interpretation of Lyapunov’s theorems on asymptotic stability and dynamic systems stability concepts.

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