Abstract/Details

A computational approach to fuzzy logic controller design


1991 1991

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Abstract (summary)

Nonlinearities inherent in practical control problems make closed form solutions difficult. Using computational and empirical methods, a multi-disciplinary approach is presented for the design of a nonlinear real time controller of industrial processes. The state space is quantized into cells creating a discrete state space model of system behavior. Using a form of dynamic programming, an optimal control algorithm based on this cellular structure generates a discrete optimal control table. To avoid the problems associated with quantized control actions, a fuzzy logic controller (FLC) with parametrized rule output functions is tuned to fit, in a least squares sense, the control policy embodied in the control table. The output of the fuzzy logic controller is a smooth nonlinear function of its inputs and is amenable to real time implementation on a digital processor. This approach constitutes a systematic procedure for FLC design.

This work led to improved versions of the cell-to-cell mapping and optimal control algorithms through variable time step sizes, nonuniform cell sizes, and adjusted cost functions. A derivation is given for the application of the Widrow-Hoff LMS algorithm to the selection of FLC output parameters. The approach is verified with two examples, the time optimal position control of a DC motor and the time optimal angular position control of an inverted pendulum.

Indexing (details)


Subject
Electrical engineering
Classification
0544: Electrical engineering
Identifier / keyword
Applied sciences
Title
A computational approach to fuzzy logic controller design
Author
Smith, Samuel McAthur
Number of pages
266
Publication year
1991
Degree date
1991
School code
0022
Source
DAI-B 52/06, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Comer, David J.
University/institution
Brigham Young University
University location
United States -- Utah
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9134606
ProQuest document ID
303932802
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/303932802
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