Design of Stable Type-2 Fuzzy Logic Controllers based on a Fuzzy Lyapunov Approach

Stability is one of the more important aspects in the traditional knowledge of automatic control. Type-2 fuzzy logic is an emerging and promising area for intelligent control (in this case, fuzzy control) applications. We present a design methodology based on the work by Margaliot (2000) for the design of stable Mamdani type-2 fuzzy logic controllers.

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

[2]  Paul H. Lewis,et al.  Sistemas de control en ingeniería , 1999 .

[3]  Guanrong Chen,et al.  Introduction to Fuzzy Sets, Fuzzy Logic, and Fuzzy Control Systems , 2000 .

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

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

[6]  Michio Sugeno,et al.  On stability of fuzzy systems expressed by fuzzy rules with singleton consequents , 1999, IEEE Trans. Fuzzy Syst..

[7]  Hao Ying,et al.  Practical design of nonlinear fuzzy controllers with stability analysis for regulating processes with unknown mathematical models , 1994, Autom..

[8]  Byung Kook Kim,et al.  Design and stability analysis of single-input fuzzy logic controller , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[9]  Katsuhiko Ogata,et al.  Ingeniería de control moderna , 1980 .

[10]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[11]  Han-Xiong Li,et al.  Conventional fuzzy control and its enhancement , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[12]  Han-Xiong Li,et al.  A new methodology for designing a fuzzy logic controller , 1995, IEEE Trans. Syst. Man Cybern..

[13]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[14]  J. Yen,et al.  Fuzzy Logic: Intelligence, Control, and Information , 1998 .

[15]  Jihong Lee,et al.  On methods for improving performance of PI-type fuzzy logic controllers , 1993, IEEE Trans. Fuzzy Syst..

[16]  E. Mizutani,et al.  Neuro-Fuzzy and Soft Computing-A Computational Approach to Learning and Machine Intelligence [Book Review] , 1997, IEEE Transactions on Automatic Control.

[17]  E. H. Mamdani,et al.  Advances in the linguistic synthesis of fuzzy controllers , 1976 .

[18]  J. Mendel.  Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .