Synthesis of Control Law for Non-Linear Systems in Critical Case

Abstract

Stabilization (control system design) is one of fundamental areas investigated in the system theory and many articles have already been dedicated to it in technical literature. The paper deals with a stabilization method for a certain class of non-linear systems. Non-linear systems belonged to the considered class have (after performed approximative linearization) some poles on the imagine axis which are uncontrollable. As the theoretical base of the approach presented in the paper the Center manifold theory (which enables us to solve the stabilization problem) has been chosen.