Fuzzy control rules extraction from perception-based information using computing with words

In this paper, a novel approach to extract fuzzy control rules from perception-based information using computing with words (CW) is firstly presented. The approach is based on applying fuzzy numbers and their arithmetic operations. The fuzzy Lyapunov synthesis, which gives a linguistic description on the plant and the control objective, is used to design a stable fuzzy controller. Secondly, that the traditional fuzzy-control rules can be derived systematically, rather than heuristically, and their stability can be guaranteed is demonstrated. Moreover, by introducing fuzzy numbers and their arithmetic operations, the "words" represented by fuzzy numbers could be efficiently manipulated for fuzzy controller design. The performance and applicability of the proposed method are illustrated through the practical implementation of fuzzy control of a pole-balancing vehicle.

[1]  Tzuu-Hseng S. Li,et al.  Switching-type fuzzy sliding mode control of a cart–pole system , 2000 .

[2]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[3]  Changjiu Zhou,et al.  INTELLIGENT ROBOTIC CONTROL USING REINFORCEMENT LEARNING AGENTS WITH FUZZY EVALUATIVE FEEDBACK , 2000 .

[4]  Michael Margaliot,et al.  Hyperbolic optimal control and fuzzy control , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[5]  Paul P. Wang Computing with Words , 2001 .

[6]  Da Ruan,et al.  Fuzzy Rules Extraction-Based Linguistic and Numerical Heterogeneous Data Fusion for Intelligent Robotic Control , 2000 .

[7]  Hisao Ishibuchi,et al.  A simple but powerful heuristic method for generating fuzzy rules from numerical data , 1997, Fuzzy Sets Syst..

[8]  Jerry M. Mendel,et al.  Generating fuzzy rules by learning from examples , 1992, IEEE Trans. Syst. Man Cybern..

[9]  George J. Klir,et al.  The Role of Constrained Fuzzy Arithmetic in Engineering , 1998 .

[10]  Bilal M. Ayyub,et al.  Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach , 1997 .

[11]  Changjiu Zhou,et al.  Fuzzy Rule Extraction Based-Integration of Linguistic and Numerical Information for Hybrid Intelligence Systems , 1998, PRICAI.

[12]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[13]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[14]  Lotfi A. Zadeh,et al.  Fuzzy logic = computing with words , 1996, IEEE Trans. Fuzzy Syst..

[15]  Michael Margaliot,et al.  Fuzzy Lyapunov-based approach to the design of fuzzy controllers , 1999, Fuzzy Sets Syst..

[16]  Roberto Kawakami Harrop Galvão,et al.  Extracting fuzzy control rules from experimental human operator data , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Paul P. Wang COMPUTING WITH WORDS — MADE EASY , 2000 .

[18]  Michael Margaliot,et al.  New Approaches to Fuzzy Modeling and Control - Design and Analysis , 2000, Series in Machine Perception and Artificial Intelligence.

[19]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[20]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..