${\cal H}_{\infty}$ Filtering for Nonlinear Singular Systems

Autor:	El-Kébir Boukas, M. D. S. Aliyu
Rok vydání:	2012
Předmět:	Discrete mathematics Nonlinear system Simple (abstract algebra) Computability Descriptor systems Linear system Applied mathematics Affine transformation Singular systems Electrical and Electronic Engineering Mathematics
Zdroj:	IEEE Transactions on Circuits and Systems I: Regular Papers. 59:2395-2404
ISSN:	1558-0806 1549-8328
DOI:	10.1109/tcsi.2012.2189038
Popis:	In this paper, we consider the H∞-filtering problem for affine nonlinear singular (or descriptor systems). Two types of filters are discussed, namely, 1) singular and 2) normal, and sufficient conditions for the solvability of the problem in terms of Hamilton-Jacobi-Isaacs equations (HJIEs) are presented. The results are also specialized to linear systems in which case the HJIEs reduce to a system of bilinear-matrix-inequalities (BLMIs) which can still be solved efficiently. Some simple examples are also given to illustrate the approach.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::19a104c3ad770933e35f010b8fda16dc https://doi.org/10.1109/tcsi.2012.2189038 Zobrazit plný text záznamu