New LMI conditions for admissibility analysis of time-varying descriptor systems

被引:2
作者
dos Santos Paulino, Ana Carolina [1 ]
Bara, Gabriela Iuliana [1 ]
机构
[1] Univ Strasbourg, ICube UMR UDS CNRS 7357, Bd Sebastien Brant,BP 10413, F-67412 Illkirch Graffenstaden, France
来源
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词
time-varying systems; admissibility analysis; polytopic descriptor systems with bounded time-varying parameters; parameter-dependent slack variables; SINGULAR SYSTEMS; ROBUST ANALYSIS; LINEAR-SYSTEMS; STABILITY; DESIGN;
D O I
10.1016/j.ifacol.2017.08.2113
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 presents new admissibility analysis conditions for discrete-time descriptor systems. Firstly, it proposes an extension, expressed as necessary and sufficient admissibility conditions, of admissibility criteria developed in the literature for linear time-invariant systems in order to incorporate the time-varying case. This extension exploits time-varying slack variables and uses the linear matrix inequality (LMI) formulation. Then, this extension is applied to the case of polytopic descriptor systems with bounded time-varying parameters. The use of sum of squares polynomials allows to eliminate the criteria parametric dependence and to provide new admissibility analysis conditions expressed as a LMIs feasibility problem. This new admissibility analysis result uses parameter-dependent slack variables and may be less conservative than the results already proposed in the literature as sustained by our numerical evaluation. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:15477 / 15482
页数:6
相关论文
共 19 条
  • [1] Dilated LMI conditions for time-varying polytopic descriptor systems: the discrete-time case
    Bara, Gabriela Iuliana
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (06) : 1010 - 1023
  • [2] Robust analysis and control of parameter-dependent uncertain descriptor systems
    Bara, Gabriela Iuliana
    [J]. SYSTEMS & CONTROL LETTERS, 2011, 60 (05) : 356 - 364
  • [3] Bara GI, 2010, P AMER CONTR CONF, P5451
  • [4] Barbosa KA, 2012, IEEE DECIS CONTR P, P5134, DOI 10.1109/CDC.2012.6427000
  • [5] Novel bounded real lemma for discrete-time descriptor systems: Application to H∞ control design
    Chadli, Mohammed
    Darouach, Mohamed
    [J]. AUTOMATICA, 2012, 48 (02) : 449 - 453
  • [6] Robust filtering for uncertain linear discrete-time descriptor systems
    de Souza, Carlos E.
    Barbosa, Karina A.
    Fu, Minyue
    [J]. AUTOMATICA, 2008, 44 (03) : 792 - 798
  • [7] Fang CH, 2002, IEEE DECIS CONTR P, P1459, DOI 10.1109/CDC.2002.1184724
  • [8] Gao LX, 2003, P AMER CONTR CONF, P5083
  • [9] Kuo CH, 2003, P AMER CONTR CONF, P5104
  • [10] Leite VJS, 2003, P AMER CONTR CONF, P833