Fuzzy model reference adaptive control

This paper investigates a fuzzy model reference adaptive controller (FMRAC) for continuous-time multiple-input-multiple-output (MIMO) nonlinear systems. The proposed adaptive scheme uses a Takagi-Seguno (TS) fuzzy adaptive system, which allows for the inclusion of a priori information in terms of qualitative knowledge about the plant operating points or analytical regulators (e.g., state feedback) for those operating points. A proportional-integral update law is used to obtain a fast parameters adaptation. Stability and robustness of this adaptive scheme are established using Lyapunov stability tools. The simulation results, for a two-link robot, confirm the performance of the proposed approach.

[1]  Shaocheng Tong,et al.  Fuzzy adaptive control of multivariable nonlinear systems1 , 2000, Fuzzy Sets Syst..

[2]  W.-S. Lin,et al.  Neurofuzzy-model-following control of MIMO nonlinear systems , 1999 .

[3]  Kevin M. Passino,et al.  Stable adaptive control using fuzzy systems and neural networks , 1996, IEEE Trans. Fuzzy Syst..

[4]  H. Khalil,et al.  Stability analysis of a continuous implementation of variable structure control , 1991 .

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

[6]  Ebrahim H. Mamdani,et al.  A linguistic self-organizing process controller , 1979, Autom..

[7]  Petros A. Ioannou,et al.  Robust adaptive control: a unified approach , 1991 .

[8]  Y. D. Landau,et al.  Adaptive control: The model reference approach , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[9]  Stephen Yurkovich,et al.  Fuzzy Control , 1997 .

[10]  Petros A. Ioannou,et al.  Instability analysis and robust adaptive control of robotic manipulators , 1989, IEEE Trans. Robotics Autom..

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

[12]  Yuezhong Tang,et al.  Stable fuzzy adaptive control for a class of nonlinear systems , 1999, Fuzzy Sets Syst..

[13]  Hao Ying,et al.  Sufficient conditions on general fuzzy systems as function approximators , 1994, Autom..

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

[15]  Y. Stepanenko,et al.  Adaptive control of a class of nonlinear systems with fuzzy logic , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[16]  Li-Wen Chen,et al.  Robust variable structure and switching-Σ adaptive control of single-arm dynamics , 1994, IEEE Trans. Autom. Control..

[17]  Tong Shaocheng,et al.  Direct adaptive fuzzy control for unknown multivariable nonlinear systems with fuzzy logic , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[18]  Jean-Jacques E. Slotine,et al.  Adaptive manipulator control: A case study , 1988 .

[19]  A. Katbab,et al.  Fuzzy logic and controller design-a review , 1995, Proceedings IEEE Southeastcon '95. Visualize the Future.

[20]  Kurt Fischle,et al.  An improved stable adaptive fuzzy control method , 1999, IEEE Trans. Fuzzy Syst..

[21]  Petros A. Ioannou,et al.  Robust adaptive control: a unified approach , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[22]  A. Isidori Nonlinear Control Systems , 1985 .

[23]  J. Buckley Sugeno type controllers are universal controllers , 1993 .

[24]  Ching-Jung Lee,et al.  The adaptive control of nonlinear systems using the Sugeno-type of fuzzy logic , 1999, IEEE Trans. Fuzzy Syst..

[25]  Li-Wen Chen,et al.  Robust variable structure and switching adaptive control of single-arm dynamics , 1997, Proceedings of the 1997 IEEE International Conference on Control Applications.

[26]  A. Golea,et al.  Fuzzy adaptive control of multivariable nonlinear systems , 2002, 2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291).

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

[28]  K. M. Passino,et al.  11 – Stable multi-input multi-output adaptive fuzzy/neural control , 1999 .