Analysis and optimization of stability robustness bounds for discretized systems

被引：0
|
作者：
De Abreu-Garcia, JA [1 ]
Niu, X
Cabrera, LA
机构：
[1] Univ Akron, Dept Elect Engn, Akron, OH 44325 USA
[2] Quantum, Milpitas, CA USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1998年 / 99卷 / 02期
关键词：
stability robustness bounds; optimization; reduced conservatism; discretized systems; simulation methods;
D O I：
10.1023/A:1021770126405
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, robustness bounds for the perturbations of continuous-time systems to ensure the stability of their discretized counterparts are developed. Both zero-order: hold and P-step matrix integrators are considered. The effect of the sampling time on the robustness bounds is studied via examples. To determine how well a simulated system will retain the robustness properties of the continuous-time system being simulated, a new criterion for the selection of the simulation method and time step is introduced. Both implicit and explicit robustness measures for sampled-data systems are obtained.
引用
收藏
页码：331 / 358
页数：28
相关论文
共 50 条
  • [1] Analysis and Optimization of Stability Robustness Bounds for Discretized Systems
    J. A. De Abreu-García
    X. Niu
    L. A. Cabrera
    Journal of Optimization Theory and Applications, 1998, 99 : 331 - 358
  • [2] Optimization of stability robustness bounds for linear discrete-time systems
    De Abreu-Garcia, JA
    Niu, X
    Cabrera, LA
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1998, 99 (02) : 303 - 330
  • [3] Optimization of Stability Robustness Bounds for Linear Discrete-Time Systems
    J. A. De Abreu-García
    X. Niu
    L. A. Cabrera
    Journal of Optimization Theory and Applications, 1998, 99 : 303 - 330
  • [4] ROBUSTNESS BOUNDS FOR CONTINUOUS SYSTEMS WITH LQ REGULATORS
    HUANG, SN
    QIAN, JX
    SHAO, HH
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1995, 142 (04): : 272 - 276
  • [5] Analysis and optimization on robustness of customer collaborative product innovation systems
    Yang, Yu (yuyang@cqu.edu.cn), 1600, CIMS (20): : 2926 - 2934
  • [6] Optimization and robustness of structural engineering systems
    Brotchie, JF
    ENGINEERING STRUCTURES, 1997, 19 (04) : 289 - 292
  • [7] The stability and robustness analysis of SNG and PNG supply
    Zhu, Jianhua
    Gong, Zhuping
    Guo, Yuming
    Wang, Qing
    METHODSX, 2020, 7
  • [8] Intermediately discretized extended a-level-optimization - An advanced fuzzy analysis approach
    Richter, Bertram
    Schietzold, F. Niklas
    Graf, Wolfgang
    Kaliske, Michael
    ADVANCES IN ENGINEERING SOFTWARE, 2025, 202
  • [9] Optimization and robustness
    Boltyanski, V
    OPTIMIZATION, 2005, 54 (4-5) : 369 - 376
  • [10] STABILITY OF ERROR BOUNDS FOR CONVEX CONSTRAINT SYSTEMS IN BANACH SPACES
    Kruger, Alexander
    Huynh Van Ngai
    Thera, Michel
    SIAM JOURNAL ON OPTIMIZATION, 2010, 20 (06) : 3280 - 3296
12345