@inproceedings{1b9a14d124734280a21f3e44456ce9ee,
title = "Generalized Kalman-Yakubovich-Popov lemma for 2-D FM LSS model and its application to finite frequency positive real control",
abstract = "This paper is concerned with the development of the generalized Kalman-Yakubovich-Popov (KYP) lemma for two-dimensional (2-D) Fornasini-Marchesini local state-space (FM LSS) systems and its application to state-feedback positive realness control with finite frequency specifications. An linear matrix inequality (LMI) characterization for a rectangular finite frequency region is firstly technically constructed and then a generalized KYP lemma is proposed for 2-D FM LSS models. This lemma provides sufficient conditions in terms of LMI for general quadratic properties of the transfer function over a rectangular finite frequency region, including the extensively investigated bounded realness and positive realness as special cases. Based on this result, a new condition is further derived for designing controllers guaranteeing the finite frequency positive realness of the closed-loop systems. The presented numerical example shows the advantage of the proposed design method.",
author = "Xianwei Li and Huijun Gao",
year = "2011",
doi = "10.1109/CDC.2011.6160613",
language = "英语",
isbn = "9781612848006",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "6991--6996",
booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",
address = "美国",
note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",
}