Decomposition state observer design for nonlinear systems

This paper is introduced the decomposition principle to state observer design for nonlinear systems. The block-observed form of nonlinear systems is offered. On the basis of this form state observer synthesis is partitioned on sequentially separately solved elementary subproblems of smaller dimension. The hierarchy of control actions of state observer in the class of systems with high gains and discontinuous controls (the systems with separated motions on temps) is obtained. The outcomes on quantitative assessment from below of state observers gains with preservation of synthesis decomposition are resulted. It allows to decide an estimation problem of state vector with given accuracy by finite gains. Copyright (C) 2001 IFAC.