Adaptive tracking of a class of first-order systems with binary-valued observations and fixed thresholds

	Adaptive tracking of a class of first-order systems with binary-valued observations and fixed thresholds
	Guo Jin; Zhang JiFeng; Zhao Yanlong
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	2012
卷号	25 期号:6 页码:1041-1051
关键词	IDENTIFICATION Adaptive control binary-valued observation optimal tracking parameter estimation stochastic system
ISSN号	1009-6124
其他题名	ADAPTIVE TRACKING OF A CLASS OF FIRST-ORDER SYSTEMS WITH BINARY-VALUED OBSERVATIONS AND FIXED THRESHOLDS
英文摘要	This paper considers the adaptive tracking problem for a class of first-order systems with binary-valued observations generated via fixed thresholds. A recursive projection algorithm is proposed for parameter estimation based on the statistical properties of the system noise. Then, an adaptive control law is designed via the certainty equivalence principle. By use of the conditional expectations of the innovation and output prediction with respect to the estimates, the closed-loop system is shown to be stable and asymptotically optimal. Meanwhile, the parameter estimate is proved to be both almost surely and mean square convergent, and the convergence rate of the estimation error is also obtained. A numerical example is given to demonstrate the efficiency of the adaptive control law.
资助项目	[National Natural Science Foundation of China]
语种	英语
CSCD记录号	CSCD:4705674
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52810]
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Guo Jin,Zhang JiFeng,Zhao Yanlong. Adaptive tracking of a class of first-order systems with binary-valued observations and fixed thresholds[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2012,25(6):1041-1051.
APA	Guo Jin,Zhang JiFeng,&Zhao Yanlong.(2012).Adaptive tracking of a class of first-order systems with binary-valued observations and fixed thresholds.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,25(6),1041-1051.
MLA	Guo Jin,et al."Adaptive tracking of a class of first-order systems with binary-valued observations and fixed thresholds".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 25.6(2012):1041-1051.