Output Feedback Robust H∞ Control with D-Stability and Variance Constraints: Parametrization Approach

被引:0
|
作者
Zidong Wang
Daniel W. C. Ho
机构
[1] Brunel University,Department of Information Systems and Computing
[2] City University of Hong Kong,Department of Mathematics
关键词
Uncertain systems; output feedback; ∞ control; covariance control; robust control; regional pole placement;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the problem of robust H∞ controller design for uncertain continuous-time systems with variance and D-stability constraints. The parameter uncertainties are allowed to be unstructured but norm-bounded. The aim of this problem is the design of an output feedback controller such that, for all admissible uncertainties, the closed-loop poles be placed within a specified disk, the H∞ norm bound constraint on the disturbance rejection attenuation be guaranteed, and the steady-state variance for each state of the closed-loop system be no more than the prescribed individual upper bound, simultaneously. A parametric design method is exploited to solve the problem addressed. Sufficient conditions for the existence of the desired controllers are derived by using the generalized inverse theory. The analytical expression of the set of desired controllers is also presented. It is shown that the obtained results can be readily extended to the dynamic output feedback case and the discrete-time case.
引用
收藏
页码:263 / 280
页数:17
相关论文
共 50 条
  • [11] Robust D-stability and H∞ control of uncertain discrete switched systems
    Zhao, Xu-Dong
    Ling, Ming-Xiang
    Zeng, Qing-Shuang
    Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology, 2009, 41 (01): : 38 - 43
  • [12] Dynamic output feedback H∞ controller design for D-stability of discrete singular systems
    He, He
    Yang, Yan
    Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2013, 33 (07): : 1852 - 1858
  • [13] Robust H-infinity output feedback control with variance and regional pole constraints for uncertain linear system
    Zhou, WN
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 387 - 394
  • [14] An Exterior-point Approach to the Robust D-stability Control Problem
    Kami, Yasushi
    Tanaka, Hideki
    Nobuyama, Eitaku
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 2204 - 2209
  • [15] Robust D-stability
    Kafri, WS
    APPLIED MATHEMATICS LETTERS, 2002, 15 (01) : 7 - 10
  • [16] Satisfactory reliable H∞ guaranteed cost control with D-stability and control input constraints
    Zhang, D.
    Su, H.
    Chu, J.
    Wang, Z.
    IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (08): : 643 - 653
  • [17] Robust Variance-constrained H∞ Output Feedback Control for Stochastic Systems
    Du, Zhiyong
    Di, Wenhui
    Wang, Xianfang
    2009 INTERNATIONAL CONFERENCE ON INDUSTRIAL AND INFORMATION SYSTEMS, PROCEEDINGS, 2009, : 384 - +
  • [18] Robust H-infinity output feedback control with variance and pole constraints for time-varying uncertain systems
    College of Information Science and Technology, Donghua University, Shanghai 200051, China
    不详
    Kong Zhi Li Lun Yu Ying Yong, 2007, 1 (103-108):
  • [19] A constrained optimization approach for robust D-stability and robust H2 performance design
    de Paiva, EC
    Santos-Mendes, R
    Ferreira, PAV
    ROBUST CONTROL DESIGN (ROCODN'97): A PROCEEDINGS VOLUME FROM THE IFAC SYMPOSIUM, 1997, : 371 - 376
  • [20] Robust control of a flexible robot arm using the quadratic d-stability approach
    Daafouz, J
    Garcia, G
    Bernussou, J
    IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 1998, 6 (04) : 524 - 533