Model-reference adaptive control based on neurofuzzy networks

Model reference adaptive control (MRAC) is a popular approach to control linear systems, as it is relatively simple to implement. However, the performance of the linear MRAC deteriorates rapidly when the system becomes nonlinear. In this paper, a nonlinear MRAC based on neurofuzzy networks is derived. Neurofuzzy networks are chosen not only because they can approximate nonlinear functions with arbitrary accuracy, but also they are compact in their supports, and the weights of the network can be readily updated on-line. The implementation of the neurofuzzy network-based MRAC is discussed, and the local stability of the system controlled by the proposed controller is established. The performance of the neurofuzzy network-based MRAC is illustrated by examples involving both linear and nonlinear systems.

[1]  Sheng Chen,et al.  Representations of non-linear systems: the NARMAX model , 1989 .

[2]  Tang-Kai Yin,et al.  Fuzzy model-reference adaptive control , 1995, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[4]  Tianyou Chai,et al.  Structure analysis of three-dimensional fuzzy controller and its relationship to PID controller , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[5]  C. W. Chan,et al.  Neurofuzzy network based self-tuning control with offset eliminating , 2003, Int. J. Syst. Sci..

[6]  Bart Kosko,et al.  Adaptive fuzzy systems for backing up a truck-and-trailer , 1992, IEEE Trans. Neural Networks.

[7]  George W. Irwin,et al.  Direct neural model reference adaptive control , 1995 .

[8]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[9]  C. W. Chan,et al.  A computation-efficient on-line training algorithm for neurofuzzy networks , 2000, Int. J. Syst. Sci..

[10]  Xiao-Xin Zhou,et al.  Identification of Boiler Models and its Fuzzy Logic Control Strategy , 1999 .

[11]  A. Morris,et al.  Fuzzy neural networks for nonlinear systems modelling , 1995 .

[12]  W. Pedrycz Processing in relational structures: fuzzy relational equations , 1991 .

[13]  Shigeo Abe,et al.  Neural Networks and Fuzzy Systems , 1996, Springer US.

[14]  A. N. Poo,et al.  Direct neural control system: nonlinear extension of adaptive control , 1995 .

[15]  Wen-Liang Chen,et al.  Robust model reference adaptive control of nonlinear systems using fuzzy systems , 1996, Int. J. Syst. Sci..

[16]  Hao Ying,et al.  A nonlinear fuzzy controller with linear control rules is the sum of a global two-dimensional multilevel relay and a local nonlinear proportional-integral controller , 1993, Autom..

[17]  Xiang-Jie Liu,et al.  Structural analysis of fuzzy controller with gaussian membership function , 1999 .

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

[19]  Ching-Chang Wong,et al.  Studies on the output of fuzzy controller with multiple inputs , 1993 .

[20]  Hao Ying,et al.  General analytical structure of typical fuzzy controllers and their limiting structure theorems , 1993, Autom..

[21]  Luigi Piroddi,et al.  GMV technique for nonlinear control with neural networks , 1994 .