LMI based observer design for nonlinear systems with integral quadratic constraints

Abstract

In this work, a general class of continuous-time uncertain nonlinear systems with integral quadratic constraints is considered. A full-order nonlinear state observer design is presented for various error performance criteria in a unified framework. These performance criteria include guaranteed-cost suboptimal versions of estimation objectives like H/sub 2/, H/sub /spl infin//, passivity, etc. The design of nonlinear state observers that satisfy these criteria are given using a common matrix inequality formulation.