Static output feedback stabilization for second-order singular systems using model reduction methods

被引：0
|
作者：
Zheng Wang
Yuhao Cong
Xiulin Hu
机构：
[1] Shanghai University,Department of Mathematics
[2] Shanghai Customs College,Department of Mathematics and Physics
[3] Hefei University,undefined
来源：
Applied Mathematics and Mechanics | 2021年 / 42卷
关键词：
second-order singular system; static output feedback; model reduction method; argument principle; O175; O231; 93D15; 93B52; 93D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the static output feedback stabilization for large-scale unstable second-order singular systems is investigated. First, the upper bound of all unstable eigenvalues of second-order singular systems is derived. Then, by using the argument principle, a computable stability criterion is proposed to check the stability of second-order singular systems. Furthermore, by applying model reduction methods to original systems, a static output feedback design algorithm for stabilizing second-order singular systems is presented. A simulation example is provided to illustrate the effectiveness of the design algorithm.
引用
收藏
页码：457 / 466
页数：9
相关论文
共 50 条
  • [41] Structure-preserving model reduction of second-order systems by Krylov subspace methods
    Xu, Kang-Li
    Yang, Ping
    Jiang, Yao-Lin
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 305 - 322
  • [42] Structure-preserving model reduction of second-order systems by Krylov subspace methods
    Kang-Li Xu
    Ping Yang
    Yao-Lin Jiang
    Journal of Applied Mathematics and Computing, 2018, 58 : 305 - 322
  • [43] Adaptive output-feedback stabilisation of an uncertain second-order linear systems
    Aguilar-Ibanez, Carlos
    Angel Acosta, Jose
    Martinez-Garcia, Juan C.
    Garcia-Canseco, Eloisa
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2017, 31 (05) : 823 - 832
  • [44] Computational methods for feedback control in damped gyroscopic second-order systems
    Datta, BN
    Sarkissian, DR
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 4456 - 4461
  • [45] Quantization of singular systems with second-order Lagrangians
    Muslih, SI
    MODERN PHYSICS LETTERS A, 2002, 17 (36) : 2383 - 2391
  • [46] Static output feedback stabilization of linear and nonlinear systems
    Astolfi, A
    Colaneri, P
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2920 - 2925
  • [47] An output stabilization of second order semilinear systems
    Ezzaki, Lahcen
    Zerrik, El Hassan
    IFAC PAPERSONLINE, 2020, 53 (02): : 5889 - 5894
  • [48] Eigenvalue assignment of second-order singular systems by acceleration-velocity-displacement feedback
    Xie, Huiqing
    Li, Yingjia
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2024, 36 (03) : 629 - 659
  • [49] Stabilization of a class of second-order nonholonomic systems
    Ma, BL
    Yu, B
    PROCEEDINGS OF THE 2002 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2002, 1-6 : 4365 - 4370
  • [50] Stabilization for a class of second-order switched systems
    Zhang, LG
    Chen, YZ
    Cui, PY
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (08) : 1527 - 1535
12345