Robust performance analysis for parameter dependent systems using tensor product splines

被引:0
|
作者
Scherer, Carsten W. [1 ]
机构
[1] Delft Univ of Technology, Delft, Netherlands
来源
Proceedings of the IEEE Conference on Decision and Control | 1998年 / 2卷
关键词
Control system analysis - Lyapunov methods - Matrix algebra - Multivariable control systems - Parameter estimation - Robustness (control systems) - System stability - Tensors - Time varying control systems;
D O I
暂无
中图分类号
学科分类号
摘要
We show that tensor product splines form a suitable tool to numerically construct parameter dependent Lyapunov functions to test robust performance for systems that depend on time-varying parameters. Based on the excellent approximation power of this class of multivariate splines, we show how it is possible to avoid conservatism in the corresponding robust performance analysis test.
引用
收藏
页码:2216 / 2221
相关论文
共 50 条
  • [41] New robust stability and performance conditions based on parameter dependent multipliers
    Dettori, M
    Scherer, CW
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 4187 - 4192
  • [42] On parameter-dependent Lyapunov functions for robust stability of linear systems
    Henrion, D
    Arzelier, D
    Peaucelle, D
    Lasserre, JB
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 887 - 892
  • [43] Robust fault detection and isolation for parameter-dependent LFT systems
    Cai, Xuejing
    Wu, Fen
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (07) : 764 - 776
  • [44] Exact Robust Stability Domain for Polynomially Parameter Dependent Dynamical Systems
    Zrida, J.
    Bouazizi, M. H.
    2020 EUROPEAN CONTROL CONFERENCE (ECC 2020), 2020, : 386 - 393
  • [45] Robust exponential stability and stabilizability of linear parameter dependent systems with delays
    Botmart, T.
    Niamsup, P.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) : 2551 - 2566
  • [46] Parameter-dependent Robust Stability of Time-Delay Systems
    Kririm, Said
    Hmamed, Abdelaziz
    Tadeo, Fernando
    14TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL & COMPUTER ENGINEERING STA 2013, 2013, : 79 - 83
  • [47] ROBUST MPC CONTROLLER DESIGN FOR SWITCHED SYSTEMS USING MULTI-PARAMETER DEPENDENT LYAPUNOV FUNCTION
    Vesely, Vojtech
    Rosinova, Danica
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2014, 10 (01): : 269 - 280
  • [49] Robust stability design of linear systems with uncertain parameters using parameter-dependent Lyapunov functions
    Ouyang, Gao-Xiang
    Ni, Mao-Lin
    Sun, Cheng-Qi
    Kongzhi yu Juece/Control and Decision, 2008, 23 (12): : 1432 - 1434
  • [50] RETRACTED: Robust Control for Nonlinear Uncertain Systems Using Parameter Dependent Lyapunov Functions (Retracted Article)
    Zhi, Yue
    Yu, Jinyong
    Zhao, Guorong
    2011 INTERNATIONAL CONFERENCE ON ENERGY AND ENVIRONMENTAL SCIENCE-ICEES 2011, 2011, 11 : 1377 - 1382