New Versions of Bounded Real Lemmas for Continuous and Discrete Uncertain Systems

被引：0
|
作者：
Shengyuan Xu
James Lam
Yun Zou
机构：
[1] Nanjing University of Science and Technology,School of Automation
[2] The University of Hong Kong,Department of Mechanical Engineering
来源：
Circuits, Systems & Signal Processing | 2007年 / 26卷
关键词：
Bounded real lemma; Linear matrix inequality; Polytopic uncertainty; Uncertain systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
New bounded real lemmas for linear systems with parameter uncertainties belonging to a convex bounded-polyhedral domain are established in this paper. Both continuous- and discrete-time uncertain systems are investigated. The derived conditions are expressed in terms of a set of linear matrix inequalities defined at the vertices of the uncertainty polytope. Numerical comparisons with those appearing recently in the literature show that the proposed conditions provide less conservative results.
引用
收藏
页码：829 / 838
页数：9
相关论文
共 50 条
  • [31] Observer Based Control for Continuous Systems with Discrete Measurements and Uncertain Disturbances
    A. I. Malikov
    Lobachevskii Journal of Mathematics, 2023, 44 : 1728 - 1737
  • [32] Minimax filtering in linear stochastic uncertain discrete-continuous systems
    G. B. Miller
    A. R. Pankov
    Automation and Remote Control, 2006, 67 : 413 - 427
  • [33] Minimax filtering in linear stochastic uncertain discrete-continuous systems
    Miller, GB
    Pankov, AR
    AUTOMATION AND REMOTE CONTROL, 2006, 67 (03) : 413 - 427
  • [34] New Results on Delay-Dependent Bounded Real Lemma for Uncertain Time-Varying Delay Systems
    Wan Xiongbo
    Fang Huajing
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 4340 - 4345
  • [35] Positive real control for uncertain discrete singular systems with state delay
    Xu, SY
    Lam, J
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2002, 9 (03): : 387 - 402
  • [36] Robust filtering and model validation for uncertain continuous-time systems with discrete and continuous measurements
    Savkin, AV
    Petersen, IR
    INTERNATIONAL JOURNAL OF CONTROL, 1998, 69 (01) : 163 - 174
  • [37] A new continuous-discrete particle filter for continuous-discrete nonlinear systems
    Xia, Yuanqing
    Deng, Zhihong
    Li, Li
    Geng, Xiumei
    INFORMATION SCIENCES, 2013, 242 : 64 - 75
  • [38] Characterising discrete-time linear systems with the "mixed" positive real and bounded real property
    Souza, Matheus
    Griggs, Wynita M.
    Ordonez-Hurtado, Rodrigo H.
    Sajja, S. Shravan K.
    Lanzon, Alexander
    Shorten, Robert N.
    EUROPEAN JOURNAL OF CONTROL, 2014, 20 (05) : 259 - 268
  • [39] INVARIANCE AND STABILITY FOR BOUNDED UNCERTAIN SYSTEMS
    PENG, TKC
    SIAM JOURNAL ON CONTROL, 1972, 10 (04): : 679 - 690
  • [40] STABILIZING UNCERTAIN SYSTEMS WITH BOUNDED CONTROL
    SOLDATOS, AG
    CORLESS, M
    LEITMANN, G
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1991, 151 : 415 - 428
12345