Reduced Order Bilinear Time Invariant Systems Using Singular Perturbation

被引:0
|
作者
Solikhatun [1 ,2 ]
Saragih, Roberd [1 ]
Joelianto, Endra [3 ]
机构
[1] Inst Teknol Bandung, Fac Math & Nat Sci, Ind & Financial Math Res Grp, Bandung, Indonesia
[2] Gadjah Mada Univ, Fac Math & Nat Sci, Dept Math, Yogyakarta, Indonesia
[3] Inst Teknol Bandung, Fac Ind Technol, Instrumentat Dan Control Res Grp, Bandung, Indonesia
关键词
bilinear time invariant system; reduced order bilinear system; singular perturbation; controllability and observability gramian; H(infinity)norm; MODEL-REDUCTION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Model order reduction of bilinear time invariant systems based on ff norm or least upper bound of difference equation is presented in this paper. The difference equation of the bilinear time invariant system is presentedas error transfer function between full order and reduced order of the bilinear time invariant system. The proposed method is graphically easier than using alteration of Hankel singular values. The least upper bound of the error transfer function and ff norm of difference bilinear system are a function of controllability gramian. In this paper, the reduced bilinear system is carried out by using singular perturbation method. The numerical simulation results are given to clarify the proposed method for selection of reduced order bilinear time invariant system.
引用
收藏
页码:92 / 97
页数:6
相关论文
共 50 条
  • [31] ORDER REDUCTION OF MULTI-TIME SCALE SYSTEMS USING BOND GRAPHS, THE RECIPROCAL SYSTEM AND THE SINGULAR PERTURBATION METHOD
    DAUPHINTANGUY, G
    BORNE, P
    LEBRUN, M
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1985, 319 (1-2): : 157 - 171
  • [32] Design of bilinear observer for singular bilinear systems
    Zhanshan Wang
    Huaguang Zhang
    Journal of Control Theory and Applications, 2006, 4 (4): : 413 - 417
  • [33] Design of bilinear observer for singular bilinear systems
    Zhanshan WANG 1
    2.Department of Information Engineering
    JournalofControlTheoryandApplications, 2006, (04) : 413 - 417
  • [34] Invariant sets and controllability of discrete-time bilinear systems
    Tie, Lin
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (07): : 970 - 979
  • [35] Stabilizability conditions for a class of time-invariant bilinear systems
    Zhu, Kunping
    Cheng, Chuwang
    Tang, Bingyong
    Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2000, 17 (03): : 384 - 386
  • [36] Model Order Reduction for Control of Engine Thermal Management Systems using Singular Perturbation
    Canova, Marcello
    Rostiti, Cristian
    IFAC PAPERSONLINE, 2019, 52 (05): : 604 - 609
  • [37] Robust H∞ reduced order filtering for uncertain bilinear systems
    Ali, HS
    Zasadzinski, M
    Rafaralahy, H
    Darouach, M
    AUTOMATICA, 2006, 42 (03) : 405 - 415
  • [38] Reduced order unbiased filtering for a class of uncertain bilinear systems
    Ali, HS
    Zasadzinski, M
    Darouach, M
    Rafaralahy, H
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 2145 - 2150
  • [39] Controller order reduction using singular perturbation approximation
    Oh, DC
    Bang, KH
    Park, HB
    AUTOMATICA, 1997, 33 (06) : 1203 - 1207
  • [40] Controller order reduction using singular perturbation approximation
    Kyungpook Natl Univ, Taegu, Korea, Republic of
    Automatica, 6 (1203-1207):