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
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