Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models

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	Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models
	Guo, L ; Wang, H
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
	2004-11-20
卷号	77 期号:17 页码:1481-1492
文章类型	Article
摘要	For stochastic systems with non-Gaussian variables, the classical control approaches where only expectation and variance are concerned cannot cover the control requirement of the closed loop in some practical processes. In this paper, the tracking control problem for output probability density functions (PDFs) is studied using square root B-spline expansions and non-linear weight dynamical models. After the measurable output PDFs are approximated by the B-spline expansions, a non-linear dynamical model can be established between the control input and the weights related to the PDFs. The tracking control problem for the output PDFs can be reduced to a constrained tracking problem for the non-linear weight dynamics. For this non-linear weight model, a generalized proportional-integral (PI) control strategy is proposed in discrete time context. The objective of the control is to make sure that the output PDFs of the system can follow a given target function, and the closed-loop system is exponentially stable and satisfies the constraint imposed on the state vector. The LMI-based convex optimization approach is adopted to design the parameters of the proposed PI controllers. This result also generalizes some previous works for classical constrained PI tracking control of non-linear discrete-time systems. Simulations are given to demonstrate the efficiency of the proposed approach.
WOS标题词	Science & Technology ; Technology
关键词[WOS]	PROBABILITY DENSITY-FUNCTIONS ; STOCHASTIC-SYSTEMS ; DESIGN ; UNCERTAINTIES
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000226138400004
引用统计	被引频次：40[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/9983
专题	09年以前成果
作者单位	1.UMIST, Control Syst Ctr, Manchester M60 1QD, Lancs, England 2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, L,Wang, H. Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models[J]. INTERNATIONAL JOURNAL OF CONTROL,2004,77(17):1481-1492.
APA	Guo, L,&Wang, H.(2004).Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models.INTERNATIONAL JOURNAL OF CONTROL,77(17),1481-1492.
MLA	Guo, L,et al."Applying constrained nonlinear generalized PI strategy to PDF tracking control through square root B-spline models".INTERNATIONAL JOURNAL OF CONTROL 77.17(2004):1481-1492.