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PID controller design for output PDFs of stochastic systems using linear matrix inequalities
Guo, L; Wang, H
Source PublicationIEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
2005-02-01
Volume35Issue:1Pages:65-71
SubtypeArticle
AbstractThis 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.
KeywordB-spline Approximation Convex Optimization Probability Density Function Proportional-integral-derivative (Pid) Control Stochastic Systems Tracking Performance
WOS HeadingsScience & Technology ; Technology
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Computer Science
WOS SubjectAutomation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000226615000007
Citation statistics
Cited Times:91[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9193
Collection09年以前成果
Affiliation1.Univ Manchester, Inst Sci & Technol, Control Syst Ctr, Manchester M60 1QD, Lancs, England
2.Chinese Acad Sci, Inst Automat, Beijing 100080, Peoples R China
Recommended Citation
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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