.png){kind=icon}
返回
Constructive Robust Stabilization by Using Square Wave Dithers: A Time-Delay Approach
.png){kind=icon}
PRE
AI
DOI：10.1109/TAC.2022.3230772.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The article studies robust stabilization of the second and third-order (with relative degree 3) linear uncertain systems by a fast-varying square wave dither with high frequency 1/epsilon and high gain, where epsilon > 0 is small. In contrast to the existing methods for control by fast oscillations that are all qualitative, we present constructive quantitative results for finding an upper bound on epsilon that ensures the exponential stability. Our method consists of two steps: 1) we construct appropriate coordinate transformations that cancel the high gains and lead to a stable averaged system; 2) we apply the time-delay approach to periodic averaging of the system in new coordinates and derive linear matrix inequalities for finding an upper bound on epsilon. Three numerical examples illustrate the efficiency of the method.
Keyword:
Averaging
stabilization by fast oscillations
time-delay systems
期刊
IF:
7
论文数:
1.3W
被引数:
6.7W
机构
引用论文
An output-based adaptive iterative learning controller for high relative degree uncertain linear systems.png)
AUTOMATICA
AUTOMATICAIF5.9
PREAI
分享收藏A note on asymptotic stabilization of linear systems by periodic,piecewise constant, output feedback关于线性系统通过周期，分段常数，输出反馈渐近稳定的注释AUTOMATICA
AUTOMATICAIF5.9
PREAI
分享收藏Averaging of linear systems with almost periodic coefficients: A time-delay approachAUTOMATICA
AUTOMATICAIF5.9
PREAI
分享收藏
查看更多内容