混杂系统的一致输入输出对状态稳定性

楼旭阳; 叶倩; 崔宝同

doi:10.3724/SP.J.1004.2014.00516

混杂系统的一致输入输出对状态稳定性

doi: 10.3724/SP.J.1004.2014.00516

楼旭阳^1,2, ,,
叶倩³,
崔宝同^1,2

1.
江南大学轻工过程先进控制教育部重点实验室无锡 214122;
2.
江南大学物联网工程学院无锡 214122;
3.
无锡职业技术学院无锡 214121

基金项目:

国家自然科学基金（61174021，61104155），中央高校基本科研业务费专项资金（JUSRP51322B），高等学校学科创新引智计划（B12018）资助

详细信息

作者简介:
叶倩无锡职业技术学院讲师, 博士.主要研究方向为混杂系统分析与综合.E-mail：yeqian85@gmail.com

通讯作者:
楼旭阳

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- 被引次数: 0
出版历程
- 收稿日期: 2012-11-12
- 修回日期: 2013-03-11
- 刊出日期: 2014-03-20

Uniform Input-output-to-state Stability of Hybrid Systems

LOU Xu-Yang^{1,2
, ,},
YE Qian³,
CUI Bao-Tong^1,2

1.
Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122;
2.
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122;
3.
Wuxi Institute of Technology, Wuxi 214121

Funds:

Supported by National Natural Science Foundation of China (61174021, 61104155), the Fundamental Research Funds for the Central Universities (JUSRP51322B), and the 111 Project (B12018)

摘要

摘要: 混杂系统的输入输出对状态稳定性是混杂控制系统领域极富挑战性的课题之一. 为了观测混杂系统的状态，本文提出了一类混杂系统的一致输入输出对状态稳定的充分条件，分析了混杂系统的一致输入输出对状态稳定性、光滑Lyapunov函数存在性和状态模估计器存在性三者之间的关系. 借助状态模估计器将混杂系统化为受扰动系统，获得了受扰动系统一致输入输出对状态稳定性的结果，并进一步证明了混杂系统的一致输入输出对状态稳定性.
- 混杂系统 /
- 输入输出对状态稳定性 /
- 光滑Lyapunov函数 /
- 状态模估计器
Abstract: The input-output-to-state stability of hybrid systems is one of the challenging topics in the field of hybrid control systems. To observe the states of hybrid systems, we propose sufficient conditions for the uniform input-output-to-state stability of a class of hybrid systems, and analyze the relationships among the uniform input-output-to-state stability of hybrid systems, the existence of the smooth Lyapunov function, and the existence of the state-norm estimator. With the help of the state-norm estimator, the hybrid systems are transformed into disturbed systems. Moreover, we obtain the uniform input-output-to-state stability conclusions of the disturbed systems, and then prove the uniform input-output-to-state stability of the hybrid systems.
- Hybrid systems /
- input-output-to-state stability /
- smooth Lyapunov function /
- state-norm estimator

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参考文献(16)

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