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Control curve design for nonlinear (or fuzzy) proportional actions using spline-based functions
Hu, BG; Mann, GKI; Gosine, RG
Source PublicationAUTOMATICA
1998-09-01
Volume34Issue:9Pages:1125-1133
SubtypeArticle
AbstractThis work explores a novel approach for a systematic design of a nonlinear mapping system typically for nonlinear, or fuzzy, PID control applications. The paper investigates a non-Linear design of proportional actions using spline-based functions. Specifically, the controller uses Bezier curves to form the nonlinear mapping in order to emulate fuzzy PID systems. While other researchers have addressed the fuzzy systems for approximations of given functions, we believe that, in general control problems, these approximations should be considered in dealing with the properties of unknown control actions. Proportional action is selected as a basic function for nonlinear control curve designs. The reasons for this selection are discussed. Specific heuristic properties for the proportional action are defined based on the intuitions in general PID controller applications. The new controller is designed to be compatible with these properties. The nonlinearity variation index is used as a process-independent measure for evaluation of different designs. The system has been shown to improve the conventional fuzzy PID controllers on three aspects. These include a high degree of transparency with respect to nonlinear tuning parameters, versatility to cover various nonlinear functions, and simplicity of nonlinear mapping expressions. (C) 1998 Elsevier Science Ltd. All rights reserved.
KeywordNonlinear Pid Control Fuzzy Pid Control Fuzzy Proportional Actions Control Curves Spline Functions
WOS HeadingsScience & Technology ; Technology
WOS KeywordUNIVERSAL APPROXIMATORS ; PID CONTROLLERS ; SYSTEMS ; NETWORKS ; RULES
Indexed BySCI
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000076083300007
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/9775
Collection09年以前成果
Affiliation1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China
2.Mem Univ Newfoundland, Ctr Cold Ocean Resources Engn, St Johns, NF A1B 3X5, Canada
3.Mem Univ Newfoundland, Fac Engn & Appl Sci, St Johns, NF A1B 3X5, Canada
Recommended Citation
GB/T 7714
Hu, BG,Mann, GKI,Gosine, RG. Control curve design for nonlinear (or fuzzy) proportional actions using spline-based functions[J]. AUTOMATICA,1998,34(9):1125-1133.
APA Hu, BG,Mann, GKI,&Gosine, RG.(1998).Control curve design for nonlinear (or fuzzy) proportional actions using spline-based functions.AUTOMATICA,34(9),1125-1133.
MLA Hu, BG,et al."Control curve design for nonlinear (or fuzzy) proportional actions using spline-based functions".AUTOMATICA 34.9(1998):1125-1133.
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