Robust l1 performance analysis for linear systems with parametric uncertainties

被引:7
|
作者
Rieber, J. M. [1 ]
Scherer, C. W. [2 ]
Allgoewer, F. [3 ]
机构
[1] Astrium GmbH, D-88039 Friedrichshafen, Germany
[2] Delft Univ Technol, Delft Ctr Syst & Control, NL-2628 CD Delft, Netherlands
[3] Univ Stuttgart, Inst Syst Theory & Automat Control, D-70550 Stuttgart, Germany
关键词
D O I
10.1080/00207170701730451
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.
引用
收藏
页码:851 / 864
页数:14
相关论文
共 50 条
  • [1] Robust l performance analysis in face of parametric uncertainties
    Rieber, Jochen M.
    Scherer, Carsten W.
    Allgoewer, Frank
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 5827 - +
  • [2] ROBUST STABILITY OF PERTURBED LINEAR CONTINUOUS-TIME SYSTEMS WITH L1 UNCERTAINTIES
    SOH, CB
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1994, 25 (08) : 1355 - 1364
  • [3] On l1 Performance and Robust Filtering for a Class of Bernoulli Switching Linear Systems
    Todorov, Marcos
    [J]. 2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 941 - 946
  • [4] Robust stability and design of linear discrete-time SISO systems under l1 uncertainties
    Polyak, BT
    Halpern, ME
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (11) : 2076 - 2080
  • [5] Robust stability and design of linear discrete-time SISO systems under l1 uncertainties
    Polyak, BT
    Halpern, ME
    [J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 1564 - 1567
  • [6] A parametric approach for l1 robust identification
    Wang, SN
    Dai, JS
    Tanaka, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (06) : 1282 - 1286
  • [7] Systems with parametric uncertainties - Robust control and stability analysis
    Matusu, R
    Prokop, R
    [J]. Proceedings of the 23rd IASTED International Conference on Modelling, Identification, and Control, 2004, : 19 - 24
  • [8] Robust state estimation for linear systems with parametric uncertainties and quantised measurements
    Wu, Hao
    Wang, Wei
    Ye, Hao
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (03) : 526 - 534
  • [9] Robust Stabilization of Delayed Singular Systems with Linear Fractional Parametric Uncertainties
    Shaosheng Zhou
    James Lam
    [J]. Circuits, Systems and Signal Processing, 2003, 22 : 579 - 588
  • [10] Robust stabilization of delayed singular systems with linear fractional parametric uncertainties
    Zhou, SS
    Lam, J
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2003, 22 (06) : 579 - 588