Model reduction for linear parameter-varying systems through parameter projection

被引：0
|
作者：
Schouten, Sil [1 ]
Lou, Daming [1 ]
Weiland, Siep [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, Eindhoven, Netherlands
来源：
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC) | 2019年
关键词：
ORDER 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：
For affine linear parameter-varying (LPV) systems, this paper develops two parameter reduction methods for reducing the dimension of the parameter space. The first method achieves the complexity reduction by transforming the affine LPV system into a parameter-ordered form and establishing an affine upper bound of the system Gramians, which is extended to time-varying rate-bounded parameters. The second method is based on considering the sensitivity function of the transfer function and time evolution equations. Both methods are applied to a thermal model. Simulation results together with some analysis are given.
引用
收藏
页码：7800 / 7805
页数：6
相关论文
共 50 条
  • [11] A STABILITY RESULT FOR LINEAR PARAMETER-VARYING SYSTEMS
    GUO, D
    RUGH, WJ
    SYSTEMS & CONTROL LETTERS, 1995, 24 (01) : 1 - 5
  • [12] The Behavioral Approach to Linear Parameter-Varying Systems
    Toth, Roland
    Willems, Jan C.
    Heuberger, Peter S. C.
    Van den Hof, Paul M. J.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (11) : 2499 - 2514
  • [13] Analysis of hybrid linear parameter-varying systems
    Lim, S
    Chan, K
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 4822 - 4827
  • [14] Cooperative Control of Linear Parameter-Varying Systems
    Seyboth, Georg S.
    Schmidt, Gerd S.
    Allgoewer, Frank
    2012 AMERICAN CONTROL CONFERENCE (ACC), 2012, : 2407 - 2412
  • [15] Linear parameter-varying descriptions of nonlinear systems
    Bruzelius, F
    Pettersson, S
    Breitholtz, C
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 1374 - 1379
  • [16] Control of linear parameter-varying systems using dynamic parameter measurement
    Lee, LH
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 1518 - 1523
  • [17] A parameter-dependent performance criterion for linear parameter-varying systems
    Lee, LH
    Spillman, M
    PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 984 - 989
  • [18] A bilinear H2 model order reduction approach to linear parameter-varying systems
    Benner, Peter
    Cao, Xingang
    Schilders, Wil
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 45 (5-6) : 2241 - 2271
  • [19] Robust model reference control of linear parameter-varying systems with disturbances
    Abdullah, Ali A.
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (01): : 45 - 52
  • [20] H∞ model following control of linear parameter-varying descriptor systems
    Abdullah, Ali A.
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2022, 43 (03): : 943 - 961
12345