nput-output finite-time stability of time-varying linear singular systems

This paper studies the input-output finite-time stabilization problem for time-varying linear singular sys- tems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of dis- turbance inputs are considered, which belong to L-two and L-infinity....

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Bibliographic Details
Published in控制理论与应用：英文版 Vol. 10; no. 3; pp. 287 - 291
Main Author Juan YAO Jun-e FENG Lin SUN Yu ZHENG
Format Journal Article
LanguageEnglish
Published 2012
Subjects
时间变化
时间稳定性
有限时间
状态反馈控制器
线性奇异系统
线性矩阵不等式
输入输出
镇定问题
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Summary:This paper studies the input-output finite-time stabilization problem for time-varying linear singular sys- tems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of dis- turbance inputs are considered, which belong to L-two and L-infinity. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.
Bibliography:44-1600/TP
Differential linear matrix inequality; Finite-time stability; Input-output; Linear singular system
This paper studies the input-output finite-time stabilization problem for time-varying linear singular sys- tems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of dis- turbance inputs are considered, which belong to L-two and L-infinity. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.
ISSN:1672-6340
1993-0623