DIRECT ADAPTIVE FUZZY CONTROL OF NONLINEAR SYSTEM CLASS WITH APPLICATIONS

In this article we propose a direct adaptive fuzzy control method for MIMO nonlinear plant encountered mainly in robotics. The fuzzy adaptive law ensures the stability, convergence of the controlled outputs, and "boundedness" of adaptation parameters. In this method, the approximation error of the fuzzy logic system is estimated by an adaptive law independently of external disturbances. Moreover, the fuzzy adaptive law incorporates a compensatory sliding term, which in turn depends on this estimated error. It leads to an adaptive compensation of approximation error. Simulations for cylindrical robot and induction motor are conducted to show the eectiveness of the proposed method.

[1]  Mignon Park,et al.  Tracking control of a robot manipulator using a direct model reference adaptive fuzzy control , 1999, Proceedings 1999 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human and Environment Friendly Robots with High Intelligence and Emotional Quotients (Cat. No.99CH36289).

[2]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control - design and stability analysis , 1994 .

[3]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[4]  Zeungnam Bien,et al.  Robust indirect adaptive fuzzy control , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[5]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control , 1994 .

[6]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[8]  Hwan-Chun Myung,et al.  Stabilization of direct adaptive fuzzy control systems considering minimum approximation error , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[9]  Jian-Shiang Chen,et al.  A self-organizing fuzzy sliding-mode controller design for a class of nonlinear servo systems , 1994, IEEE Trans. Ind. Electron..

[10]  Li-Xin Wang,et al.  Stable adaptive fuzzy control of nonlinear systems , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[11]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[12]  Eli Tzirkel-Hancock,et al.  A direct control method for a class of nonlinear systems using neural networks , 1991 .

[13]  Bor-Sen Chen,et al.  H∞ tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach , 1996, IEEE Trans. Fuzzy Syst..

[14]  Mignon Park,et al.  An indirect model reference adaptive fuzzy control for SISO Takagi-Sugeno model , 2001, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[15]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.