Robust D Stabilization of Singular Systems with Polytopic Uncertainties

被引：2
|
作者：
Bai, Jianjun [1 ]
Su, Hongye [1 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
关键词：
DESCRIPTOR SYSTEMS; STABILITY; DELAY; DESIGN;
D O I：
10.1109/ACC.2009.5159950
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The robust D stabilization problem is considered for singular systems with polytopic uncertainties in this paper. Both the derivative matrix E and the state matrix A are with uncertainties, under the assumption that the rank of matrix E is constant. Firstly, with the introduction of some free matrices, a new dilated LMI condition for the singular system to be D stable is proposed, based on which, the robust D stable problem is solved, and a sufficient condition for the closed system to be robust D stabilizable is obtained. The desired state feedback controller is given in an explicit expression. Numerical examples show the efficiency of the obtained approach.
引用
收藏
页码：3706 / 3709
页数：4
相关论文
共 50 条
  • [1] Robust D stabilization of singular systems with polytopic uncertainties
    Bai J.
    Su H.
    Ji X.
    Gao J.
    [J]. Journal of Control Theory and Applications, 2010, 8 (4): : 540 - 544
  • [2] Robust D stabilization of singular systems with polytopic uncertainties
    Jianjun BAI 1
    2.School of Electrical and Information Engineering
    3.Institute of Automation
    [J]. Control Theory and Technology, 2010, 8 (04) : 540 - 544
  • [3] Novel admissibility and robust stabilization conditions for fractional-order singular systems with polytopic uncertainties
    Zhang, Qing-Hao
    Lu, Jun-Guo
    [J]. ASIAN JOURNAL OF CONTROL, 2024, 26 (01) : 70 - 84
  • [4] Robust stabilization for stochastic time-delay systems with polytopic uncertainties
    Xu, SY
    Lam, J
    Zou, Y
    Zhong, NF
    Gao, HJ
    Wang, CH
    [J]. 2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 1747 - 1750
  • [5] Observer-Based Robust Predictive Control of Singular Systems with Polytopic Uncertainties
    Yang Yuanhua
    Liu Xiaohua
    [J]. PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 50 - 53
  • [6] Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties
    Chen, Liping
    Wu, Ranchao
    He, Yigang
    Yin, Lisheng
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 : 274 - 284
  • [7] Robust stabilization of delayed singular systems with linear fractional parametric uncertainties
    Zhou, SS
    Lam, J
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2003, 22 (06) : 579 - 588
  • [8] Robust Stabilization of Delayed Singular Systems with Linear Fractional Parametric Uncertainties
    Shaosheng Zhou
    James Lam
    [J]. Circuits, Systems and Signal Processing, 2003, 22 : 579 - 588
  • [9] Robust D-stability and D-stabilization of descriptor discrete-time linear systems with polytopic uncertainties and multiple delays
    Cong, Er-yong
    Zhang, Rui-Zhi
    Li, Fanbiao
    Zhang, Xian
    [J]. 2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 2577 - 2582
  • [10] Robust normalization and stabilization of descriptor fractional-order systems with polytopic uncertainties in all matrices
    Luo, Siyou
    Lu, Jun-Guo
    [J]. ASIAN JOURNAL OF CONTROL, 2024, 26 (02) : 906 - 916
12345