@inproceedings{e2b7e95f7929435dbf166ef406c57bca,
title = "Η∞ State-feedback control of nonlinear singularly perturbed systems",
abstract = "We study the H∞ control problem for an affine singularly perturbed system, which is nonlinear not only in the slow variable (as in the standard case), but also in the fast variable. We construct an e-independent composite controller by solving a slow partial differential equation, that corresponds to the reduced Hamiltonian system, and by solving a fast partial differential equation. The composite controller solves the local H∞ control problem for all small enough ε. It solves also the corresponding problem for the descriptor system. We obtain an asymptotic approximation of the optimal controller and of the solution to Hamilton-Jacobi equation.",
keywords = "exact slow-fast decomposition, invariant manifolds, nonlinear systems, singular perturbations, Η - control",
author = "E. Fridman",
note = "Publisher Copyright: {\textcopyright} 1999 EUCA.; 1999 European Control Conference, ECC 1999 ; Conference date: 31-08-1999 Through 03-09-1999",
year = "2015",
month = mar,
day = "24",
doi = "10.23919/ecc.1999.7099354",
language = "الإنجليزيّة",
series = "European Control Conference, ECC 1999 - Conference Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "503--508",
booktitle = "European Control Conference, ECC 1999 - Conference Proceedings",
address = "الولايات المتّحدة",
}