Full-order and reduced-order l1 filtering for positive switched delay systems under the improved MADT

被引：11
作者：
Zheng, Yan [1 ]
Wang, Yaonan [1 ]
机构：
[1] Hunan Univ, Coll Elect & Informat Engn, Lushan Rd, Changsha, Hunan, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2019年 / 32卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Positive switched systems; The filtering problem; Mode-dependent average dwell time; l(1) Performance; STABILITY ANALYSIS; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; STABILIZATION; CRITERIA; DESIGN; MODEL; L-1;
D O I：
10.1016/j.nahs.2018.11.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the l(1) filtering problem for positive switched time-delay systems is investigated. An improved delay-dependent MADT that takes delay-independent MADT switching as a special case is provided, and a mode-dependent and time-dependent linear copositive Lyapunov functional is presented to establish the exponential stability with the weighted l(1) performance of the filtering error system under the improved MADT. Both full-order and reduced-order filters are designed for the concerned system, and the gains of the filters can be obtained by solving a set of linear programming. Two numerical examples are presented to demonstrate the effectiveness of the proposed theories. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：147 / 156
页数：10
相关论文
共 36 条
[1]  
[Anonymous], INT J CONTROL
[2]   Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems [J].
Briat, Corentin .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 24 :198-226
[3]   Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1-gain and L∞-gain characterization [J].
Briat, Corentin .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (17) :1932-1954
[4]  
Briat C, 2011, IEEE DECIS CONTR P, P6337, DOI 10.1109/CDC.2011.6160194
[5]   Positive filtering for continuous-time positive systems under L1 performance [J].
Chen, Xiaoming ;
Lam, James ;
Li, Ping .
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (09) :1906-1913
[6]   l1-induced norm and controller synthesis of positive systems [J].
Chen, Xiaoming ;
Lam, James ;
Li, Ping ;
Shu, Zhan .
AUTOMATICA, 2013, 49 (05) :1377-1385
[7]   On the Stability of Positive Linear Switched Systems Under Arbitrary Switching Laws [J].
Fainshil, Lior ;
Margaliot, Michael ;
Chigansky, Pavel .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) :897-899
[8]   Stability and Stabilizability Criteria for Discrete-Time Positive Switched Systems [J].
Fornasini, Ettore ;
Valcher, Maria Elena .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) :1208-1221
[9]   Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems [J].
Fornasini, Ettore ;
Valcher, Maria Elena .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (08) :1933-1937
[10]   On the stability of switched positive linear systems [J].
Gurvits, L. ;
Shorten, R. ;
Mason, O. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (06) :1099-1103
1234