H∞ stabilisation of switched linear stochastic systems under dwell time constraints

被引：5

作者：

Huang, Ran ^{[1
]}

Lin, Yan ^{[1
]}

Ge, Shuzhi Sam ^{[2
]}

Lin, Zhongwei ^{[3
]}

机构：

[1] Bejing Univ Aeronaut & Aeronaut, Sch Automat, Beijing 100191, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Comp Sci & Engn, Inst Intelligent Syst & Informat Technol, Chengdu 611731, Peoples R China

[3] N China Elect Power Univ, State Key Lab Alternate Elect Power Syst Renewabl, Beijing 102206, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2012年 / 85卷 / 09期

基金：

中国国家自然科学基金;

关键词：

switched systems; Wiener process; H-infinity control; dwell time; STABILITY;

D O I：

10.1080/00207179.2012.680914

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on the determination of a minimum dwell time, this article addresses the problem of characterising a switching strategy for H-infinity stabilisation of switched linear stochastic systems with adapted external inputs. Sufficient conditions that assure exponential mean square stability and an H-infinity performance index are established by analysing the time evolution of the second-order moment of the state and a recursive dynamic programming inequality, respectively. Alternative conditions are derived for numerical implementations. The proposed method is illustrated by numerical simulations.

引用

页码：1209 / 1217

页数：9

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