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PID controller design for output PDFs of stochastic systems using linear matrix inequalities
Guo, L; Wang, H
2005-02-01
发表期刊IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
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
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
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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.
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