Non-minimal order low-frequency H∞ filtering for uncertain discrete-time systems

被引：0
作者：
Romao, Licio B. R. R. [1 ]
Frezzatto, Luciano [1 ]
de Oliveira, Mauricio C. [2 ]
Oliveira, Ricardo C. L. F. [1 ]
Peres, Pedro L. D. [1 ]
机构：
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, UNICAMP, BR-13083852 Campinas, SP, Brazil
[2] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
Robust linear matrix inequalities; Filtering; Generalized Kalman-Yakubovich-Popov Lemma; Low-frequency Specifications; Linear time-invariant uncertain systems; GENERALIZED KYP LEMMA; LINEAR-SYSTEMS; DESIGN;
D O I：
10.1016/j.ifacol.2017.08.1044
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper proposes a sufficient condition for the discrete-time robust H-infinity filtering design problem with low-frequency specifications using an extension of the generalized Kalman-Yakubovich-Popov lemma The matrices of the system are supposed to be uncertain, time-invariant and to belong to a polytopic domain The proposed approach takes advantage of a non-minimal filter structure, that is, a filter with order greater than the order of the system being filtered, to provide improved H-infinity bounds for low-frequency specifications. The condition can be solved by means of linear matrix inequality relaxations with slack variables and Lyapunov matrices which are considered as homogeneous polynomials of arbitrary degree. Numerical examples illustrate the improvements on the bounds provided by the non-minimal filter structure in combination with the more accurate polynomial approximations (higher degrees) for the optimization variables. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：6477 / 6482
页数：6
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