Design of a New Fuzzy Suction Controller Using Fuzzy Modeling for Nonlinear Boundary Layer

There are two types of fuzzy modeling: 1) imitating an expert experiment or fulfilling an engineering knowledge, and 2) modeling a complex or unknown system. In this paper, based on the first type of fuzzy modeling, a new fuzzy suction controller (NFSC) is proposed using its linguistic rules to design nonlinear boundary layer. Two kinds of nonlinear boundary layers are discussed. The first kind is designed by three rules derived according to a new interpretation of the switching conditions for a suction controller such that the new controller reduces chattering and spends less energy than a suction controller does. A design procedure summarizes the NFSC design. The second kind of nonlinear boundary layer is the linguistic rules designed to have sliding sectors to control a mobile robot for trajectory tracking. The discussion emphasizes the advantage of nonlinear boundary layers, compared with traditional suction controllers usually using linear boundary. In addition, the proposed NFSC provides a flexible way to adjust the controller functions using linguistic rules based on the first type of fuzzy modeling

[1]  Masayoshi Tomizuka,et al.  Fuzzy smoothing algorithms for variable structure systems , 1994, IEEE Trans. Fuzzy Syst..

[2]  Umit Ozguner,et al.  Frequency shaping compensator design for sliding mode , 1993 .

[3]  Sergey V. Drakunov,et al.  Discontinuous Frequency Shaping Compensation for Uncertain Dynamic Systems , 1993 .

[4]  V. Utkin Variable structure systems with sliding modes , 1977 .

[5]  Leopoldo García Franquelo,et al.  Speed control of induction motors using a novel fuzzy sliding-mode structure , 2002, IEEE Trans. Fuzzy Syst..

[6]  Jacob S. Glower,et al.  Designing fuzzy controllers from a variable structures standpoint , 1997, IEEE Trans. Fuzzy Syst..

[7]  T. S. Liu,et al.  Fuzzy control stabilization with applications to motorcycle control , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[8]  Y. P. Chen,et al.  A new controller design for manipulators using the theory of variable structure systems , 1988 .

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

[10]  S. Drakunov,et al.  Sliding Mode Control with Chattering Reduction , 1992, 1992 American Control Conference.

[11]  Guang-Chyan Hwang,et al.  A stability approach to fuzzy control design for nonlinear systems , 1992 .

[12]  Rainer Palm,et al.  Robust control by fuzzy sliding mode , 1994, Autom..

[13]  Tsu-Tian Lee,et al.  Design of a fuzzy logic controller as a suction controller , 1997, Fuzzy Sets Syst..

[14]  Wu-Chung Su,et al.  Sliding mode with chattering reduction in sampled data systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[15]  Seung-Bok Choi,et al.  A fuzzy-sliding mode controller for robust tracking of robotic manipulators , 1997 .

[16]  Sanjib Kumar Panda,et al.  Chattering-free and fast-response sliding mode controller , 1999 .

[17]  Jean-Jacques E. Slotine,et al.  Sliding controller design for non-linear systems , 1984 .