PID controller design for output PDFs of stochastic systems using linear matrix inequalities

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	PID controller design for output PDFs of stochastic systems using linear matrix inequalities
	Guo, L ; Wang, H
发表期刊	IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
	2005-02-01
卷号	35 期号:1 页码:65-71
文章类型	Article
摘要	This paper presents a pseudo proportional-integral-derivative (PID) tracking control strategy for general non-Gaussian stochastic systems based on a linear B-spline model for the output probability density functions (PDFs). The objective is to control the conditional PDFs of the system output to follow a given target function. Different from existing methods, the control structure (i.e., the PID) is imposed before the output PDF controller design. Following the linear B-spline approximation on the measured output PDFs, the concerned problem is transferred into the tracking of given weights which correspond to the desired PDF. For systems with or without model uncertainties, it is shown that the solvability can be casted into a group of matrix inequalities. Furthermore, an improved controller design procedure based on the convex optimization is proposed which can guarantee the required tracking convergence with an enhanced robustness. Simulations are given to demonstrate the efficiency of the proposed approach and encouraging results have been obtained.
关键词	B-spline Approximation Convex Optimization Probability Density Function Proportional-integral-derivative (Pid) Control Stochastic Systems Tracking Performance
WOS标题词	Science & Technology ; Technology
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Computer Science
WOS类目	Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号	WOS:000226615000007
引用统计	被引频次：110[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/173211/9193
专题	09年以前成果
作者单位	1.Univ Manchester, Inst Sci & Technol, 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. PID controller design for output PDFs of stochastic systems using linear matrix inequalities[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS,2005,35(1):65-71.
APA	Guo, L,&Wang, H.(2005).PID controller design for output PDFs of stochastic systems using linear matrix inequalities.IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS,35(1),65-71.
MLA	Guo, L,et al."PID controller design for output PDFs of stochastic systems using linear matrix inequalities".IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS 35.1(2005):65-71.