Design of Robust Control for Block Nonlinear Systems by Lyapunov Functions Method

Abstract

This paper is devoted to robust control design for block multilinked nonlinear dynamical systems. Transformation of the block system to the single block system is proposed. For the considered block systems function of Lyapunov is designed. It is proved if the number of controls is equal to or more than the number of state variables of the block, then in the given area the closed-loop system conditions of stability followed controllability conditions. Control design accounts limitations of controls and state variables. Modeling results for nonlinear objects control systems are presented.