14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract

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Paper FrA1.1

Coutinho, Daniel F (Pontifícia Univ. Católica do Rio Grande do Sul), de Souza, Carlos E. (Lab. Nacional de Computacao Cientifica - LNCC)

On the Design of High-Order Robust Linear H-infinity Filters for a Class of Uncertain Nonlinear Systems

Scheduled for presentation during the Regular Session "Identification and Filtering of Nonlinear Systems" (FrA1), Friday, March 31, 2006, 10:30−10:50, Concert Hall

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on July 17, 2018

Keywords Filtering and Smoothing

Abstract

This paper addresses the design of robust linear H-infinity filters for a class of nonlinear systems subject to uncertain, possibly time-varying, parameters. The nonlinear system is described by a differential-algebraic representation, which can model the whole class of systems with rational functions of the state and uncertain parameters, as well as some trigonometric nonlinearities. The admissible values of the uncertain parameters and their rate of variation are assumed to belong to a given polytope. A linear matrix inequality (LMI) method is presented to design full-order robust linear filters with a minimized upper-bound on L2-gain of the noise-to-estimation error operator for all admissible uncertainty. An LMI procedure based on the latter method is then developed to obtain high-order robust linear filters, which are shown, via an example, to achieve significant performance improvement over the full-order filter.