Robust adaptive fuzzy control scheme for nonlinear system with uncertainty

In this paper, a robust adaptive fuzzy control scheme for a class of nonlinear system with uncertainty is proposed. First, using prior knowledge about the plant we obtain a fuzzy model, which is called the generalized fuzzy hyperbolic model (GFHM). Secondly, for the case that the states of the system are not available an observer is designed and a robust adaptive fuzzy output feedback control scheme is developed. The overall control system guarantees that the tracking error converges to a small neighborhood of origin and that all signals involved are uniformly bounded. The main advantages of the proposed control scheme are that the human knowledge about the plant under control can be used to design the controller and only one parameter in the adaptive mechanism needs to be on-line adjusted.

[1]  Li-Xin Wang,et al.  Stable adaptive fuzzy controllers with application to inverted pendulum tracking , 1996, IEEE Trans. Syst. Man Cybern. Part B.

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

[3]  Zhang Huaguang,et al.  Modeling, identification, and control of a class of nonlinear systems , 2001, IEEE Trans. Fuzzy Syst..

[4]  Jang-Hyun Park,et al.  Robust adaptive fuzzy controller for nonlinear system using estimation of bounds for approximation errors , 2003, Fuzzy Sets Syst..

[5]  Kevin M. Passino,et al.  Fuzzy model reference learning control for cargo ship steering , 1993 .

[6]  Li-Xin Wang Stable adaptive fuzzy control of nonlinear systems , 1993, IEEE Trans. Fuzzy Syst..

[7]  Tong Shaocheng,et al.  Fuzzy adaptive output tracking control of nonlinear systems , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[8]  Huaguang Zhang,et al.  Chaotifying Fuzzy Hyperbolic Model Using Adaptive Inverse Optimal Control Approach , 2004, Int. J. Bifurc. Chaos.

[9]  Yih-Guang Leu,et al.  Observer-based adaptive fuzzy-neural control for unknown nonlinear dynamical systems , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[10]  Quan Yong Generalized Fuzzy Hyperbolic Model: a Universal Approximator , 2003 .

[11]  Zhang Hua Generalized Fuzzy Hyperbolic Model: A Universal Approximator , 2004 .

[12]  M. Polycarpou,et al.  On the existence and uniqueness of solutions in adaptive control systems , 1993, IEEE Trans. Autom. Control..

[13]  Woonchul Ham,et al.  Adaptive fuzzy sliding mode control of nonlinear system , 1998, IEEE Trans. Fuzzy Syst..

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

[15]  Tsung-Chih Lin,et al.  Observer-based indirect adaptive fuzzy-neural tracking control for nonlinear SISO systems using VSS and H[infin] approaches , 2004, Fuzzy Sets Syst..

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