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Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays
Liu, Shu-Jun2,3; Ge, Shuzhi Sam1; Zhang, Ji-Feng2
2008
发表期刊INTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
卷号81期号:8页码:1210-1220
摘要In this paper, we investigate the adaptive output-feedback stabilisation for a class of stochastic non-linear systems with time-varying time delays. First, we give some sufficient conditions to ensure the existence and uniqueness of the solution process for stochastic non-linear systems with time delays, and introduce a new stability notion and the related criterion. Then, for a class of stochastic non-linear systems with time-varying time delays, uncertain parameters in both drift and diffusion terms, and general constant virtual control coefficients, we present a systematic design procedure for a memoryless adaptive output-feedback control law by using the backstepping method. It is shown that under the control law based on a memoryless observer, the closed-loop equilibrium of interest is globally stable in probability, and moreover, the solution process can be regulated to the origin almost surely.
关键词stochastic non-linear systems time-delay systems output-feedback stabilisation memoryless adaptive control virtual control coefficients
DOI10.1080/00207170701598478
语种英语
WOS研究方向Automation & Control Systems
WOS类目Automation & Control Systems
WOS记录号WOS:000256997000004
出版者TAYLOR & FRANCIS LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/5354
专题系统科学研究所
通讯作者Ge, Shuzhi Sam
作者单位1.Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, Singapore
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China
3.Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
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GB/T 7714
Liu, Shu-Jun,Ge, Shuzhi Sam,Zhang, Ji-Feng. Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays[J]. INTERNATIONAL JOURNAL OF CONTROL,2008,81(8):1210-1220.
APA Liu, Shu-Jun,Ge, Shuzhi Sam,&Zhang, Ji-Feng.(2008).Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays.INTERNATIONAL JOURNAL OF CONTROL,81(8),1210-1220.
MLA Liu, Shu-Jun,et al."Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays".INTERNATIONAL JOURNAL OF CONTROL 81.8(2008):1210-1220.
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