Modeling and control of nonlinear systems using novel fuzzy wavelet networks: The output adaptive control approach

Abstract This paper proposes an observer based self-structuring robust adaptive fuzzy wave-net (FWN) controller for a class of nonlinear uncertain multi-input multi-output systems. The control signal is comprised of two parts. The first part arises from an adaptive fuzzy wave-net based controller that approximates the system structural uncertainties. The second part comes from a robust H∞ based controller that is used to attenuate the effect of function approximation error and disturbance. Moreover, a new self structuring algorithm is proposed to determine the location of basis functions. Simulation results are provided for a two DOF robot to show the effectiveness of the proposed method.

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

[2]  Timothy J. Gale,et al.  Direct adaptive fuzzy control with a self-structuring algorithm , 2008, Fuzzy Sets Syst..

[3]  Chuan-Kai Lin,et al.  Hinfinity reinforcement learning control of robot manipulators using fuzzy wavelet networks , 2009, Fuzzy Sets Syst..

[4]  Shaocheng Tong,et al.  Adaptive fuzzy output tracking control for a class of uncertain nonlinear systems , 2009, Fuzzy Sets Syst..

[5]  Chen Bin,et al.  Fuzzy adaptive output feedback control for MIMO nonlinear systems , 2005, Fuzzy Sets Syst..

[6]  W.-S. Lin,et al.  Robust adaptive sliding mode control using fuzzy modelling for a class of uncertain MIMO nonlinear systems , 2002 .

[7]  Shaocheng Tong,et al.  A hybrid adaptive fuzzy control for a class of nonlinear MIMO systems , 2003, IEEE Trans. Fuzzy Syst..

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

[9]  Maryam Zekri,et al.  Adaptive fuzzy wavelet network control design for nonlinear systems , 2008, Fuzzy Sets Syst..

[10]  Yeong-Chan Chang,et al.  Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and H∞ approaches , 2001, IEEE Trans. Fuzzy Syst..

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

[12]  Abdelaziz Hamzaoui,et al.  State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[13]  Afrooz Ebadat,et al.  New fuzzy wavelet network for modeling and control:The modeling approach , 2011 .

[14]  C.-K. Lin,et al.  Nonsingular Terminal Sliding Mode Control of Robot Manipulators Using Fuzzy Wavelet Networks , 2006, IEEE Transactions on Fuzzy Systems.

[15]  Jose A. Romagnoli,et al.  Application of wavelet-based neural networks to the modelling and optimisation of an experimental distillation column , 1997 .

[16]  Chun-Fei Hsu,et al.  Adaptive asymmetric fuzzy neural network controller design via network structuring adaptation , 2008, Fuzzy Sets Syst..