The idea of a rough fuzzy controller and its application to the stabilization of a pendulum-car system

Abstract This paper presents the idea of a rough fuzzy controller with application to the stabilization of a pendulum-car system. The structure of such a controller based on the concept of a fuzzy controller (fuzzy logic controller) is suggested. The results of a simulation comparing the performance of both controllers are shown. From these results we infer that the performance of the proposed rough fuzzy controller is satisfactory.

[1]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[2]  E. H. Mamdani,et al.  Twenty years of fuzzy control: experiences gained and lessons learnt , 1993, [Proceedings 1993] Second IEEE International Conference on Fuzzy Systems.

[3]  Z. Pawlak.  Rough Sets: Theoretical Aspects of Reasoning about Data , 1991 .

[4]  廣田 薫,et al.  Probabilistic sets : fuzzy and stochastic approach to decision, control and recognition processes , 1986 .

[5]  Z. Pawlak,et al.  Use of rough sets and decision tables for implementing rule-based control of industrial processes , 1986 .

[6]  Chin E. Lin,et al.  A hybrid-control approach for pendulum-car control , 1992, IEEE Trans. Ind. Electron..

[7]  H. Zimmermann,et al.  Latent connectives in human decision making , 1980 .

[8]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[9]  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..

[10]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[11]  Chuen-Chien Lee.  FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[12]  M. Mizumoto,et al.  Realization of PID controls by fuzzy control methods , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[13]  E. Czogala,et al.  Modelling of neural controllers with application to the control of a machining process , 1993 .

[14]  Z. Pawlak,et al.  Rough membership functions: a tool for reasoning with uncertainty , 1993 .