Volume 33 Issue 11
Nov.  2007
Turn off MathJax
Article Contents
Zhong Ruilin, Cheng Peng. Algorithm of constructing reduced-order H∞ controller for nonsingular plants in explicit form[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(11): 1299-1302. (in Chinese)
Citation: Zhong Ruilin, Cheng Peng. Algorithm of constructing reduced-order H controller for nonsingular plants in explicit form[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(11): 1299-1302. (in Chinese)

Algorithm of constructing reduced-order H controller for nonsingular plants in explicit form

  • Received Date: 06 Dec 2006
  • Publish Date: 30 Nov 2007
  • Algorithms of constructing reduced-order H controllers in explicit form are only applied to singular H control case. In order to apply these algorithms to nonsingular case, the matrix A of a generalized plant was divided into two parts A 0 and Δ A , then ( A 0, B 2, C 1, D 12) or ( A 0, B 1, C 2, D 21) had unstable invariant zeros. Those algorithms could be used to the changed system to get a solution ( X , Y ) that could be used to construct a reduced-order controller. Since one of three linear matrix inequalities of the initial generalized plant was changed by the change of the system matrix A , the solution ( X , Y ) must be used in the linear matrix inequality that was changed with the variation of A for the initial generalized plant to see whether it could still hold or not. If it was holden, the solution ( X , Y ) could be used to construct a reduced-order controller for the initial generalized plant. Effectiveness of the algorithm was shown by numerical examples.

     

  • loading
  • [1] Iwasaki T,Skelton R E. All controllers for the general H control problem: LMI existence conditions and state space formulas[J]. Automatica,1994,30:1307-1317 [2] Grigoriadis K M,Skelton R E. Low-order control design for LMI problems using alternating projection methods[J].Automatica, 1996,32:1117-1125 [3] Iwasaki T. The dual iteration for fixed order control[J]. IEEE Trans On Automatic Control, 1999,44:783-788 [4] Xin X,Guo L,Feng C B. Reduced-order controllers for continuous and discrete-time singular H control problems based on LMI[J].Automatica,1996,32:1581-1585 [5] 曾建平.基于LMI的H控制问题降阶控制器的存在性研究 .北京:北京航空航天大学自动化科学与电气工程学院,2000 Zeng Jianping. Study on the existence of reduced-order controllers for general H control problem LMI-Based .Beijing: School of Automation Science and Electrical Engineering ,Beijing University of Aeronautics and Astronautics,2000(in Chinese) [6] Takao W,Anton A S. Plant zero structure and further order reduction of a singular H controller[J]. Int J Robust and Nonlinear Control,2002,12:591-619 [7] Xin Xin. Reduced-order controllers for the H control problem with unstable invariant zeros[J]. Automatica, 2004, 40:319-326 [8] Gahinet P.Explict controller formulas for LMI-based synthesis H[J]. Automatica, 1996, 32:1007-1014
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(3009) PDF downloads(754) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return