Fuzzy logic controller design based on variable structure control

The authors propose a fuzzy logic controller (FLC) that uses a VSS to form the linguistic rules. First, they prove that there exists a sliding line in the FLC. Secondly, a Lyapunov function is selected to show that the fuzzy controller system (FCS) is globally asymptotical stable. The proposed control method is applied to stabilize a cart-pole system. The effect of adjusting the scaling factor, varying the rules of the VSS, and modifying the membership function on the FCS are also addressed.

[1]  Yung-Yaw Chen,et al.  A description of the dynamic behavior of fuzzy systems , 1989, IEEE Trans. Syst. Man Cybern..

[2]  Masayoshi Tomizuka,et al.  Self organizing fuzzy linguistic control with application to arc welding , 1990, EEE International Workshop on Intelligent Robots and Systems, Towards a New Frontier of Applications.

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

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

[5]  Wjm Walter Kickert,et al.  ANALYSIS OF A FUZZY LOGIC CONTROLLER , 1978 .

[6]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[7]  A. Ishigame,et al.  Sliding mode controller design based on fuzzy inference for non-linear systems , 1991, Proceedings IECON '91: 1991 International Conference on Industrial Electronics, Control and Instrumentation.

[8]  M. Tomizuka,et al.  Stability of fuzzy linguistic control systems , 1990, 29th IEEE Conference on Decision and Control.

[9]  Atsushi Ishigame,et al.  Sliding mode controller design based on fuzzy inference for nonlinear systems [power systems] , 1993, IEEE Trans. Ind. Electron..

[10]  R. Tong.  SYNTHESIS OF FUZZY MODELS FOR INDUSTRIAL PROCESSES-SOME RECENT RESULTS , 1978 .

[11]  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..