Direct adaptive fuzzy control for a class of MIMO nonlinear systems

This article presents a direct adaptive fuzzy control scheme for a class of uncertain continuous-time multi-input multi-output nonlinear (MIMO) dynamic systems. Within this scheme, fuzzy systems are employed to approximate an unknown ideal controller that can achieve control objectives. The adjustable parameters of the used fuzzy systems are updated using a gradient descent algorithm that is designed to minimize the error between the unknown ideal controller and the fuzzy controller. The stability analysis of the closed-loop system is performed using a Lyapunov approach. In particular, it is shown that the tracking errors are bounded and converge to a neighborhood of the origin. Simulations performed on a two-link robot manipulator illustrate the approach and exhibit its performance.

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

[2]  A. Boulkroune,et al.  Adaptive fuzzy control for MIMO nonlinear systems with unknown dead-zone , 2008, 2008 4th International IEEE Conference Intelligent Systems.

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

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

[5]  Kevin M. Passino,et al.  Stable multi-input multi-output adaptive fuzzy/neural control , 1999, IEEE Trans. Fuzzy Syst..

[6]  Tianping Zhang,et al.  Adaptive Fuzzy Control for a Class of MIMO Nonlinear Systems with Unknown Dead-zones , 2007 .

[7]  Chuen-Tsai Sun,et al.  Neuro-fuzzy modeling and control , 1995, Proc. IEEE.

[8]  Amar Goléa,et al.  Stable indirect fuzzy adaptive control , 2003, Fuzzy Sets Syst..

[9]  Salim Labiod,et al.  Adaptive fuzzy control of a class of MIMO nonlinear systems , 2005, 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]  Shaocheng Tong,et al.  Fuzzy adaptive control of multivariable nonlinear systems1 , 2000, Fuzzy Sets Syst..

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

[13]  Kevin M. Passino,et al.  Stable Adaptive Control and Estimation for Nonlinear Systems , 2001 .

[14]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[15]  Shaocheng Tong,et al.  Fuzzy adaptive control for a class of nonlinear systems , 1999, Fuzzy Sets Syst..

[16]  Anuradha M. Annaswamy,et al.  Robust Adaptive Control , 1984, 1984 American Control Conference.

[17]  LabiodSalim,et al.  Direct adaptive fuzzy control for a class of MIMO nonlinear systems , 2007 .

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

[19]  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.

[20]  Abdelaziz Hamzaoui,et al.  Direct and Indirect Robust Adaptive Fuzzy Controllers for a Class of Nonlinear Systems , 2006 .

[21]  Petros A. Ioannou,et al.  Robust adaptive control for a class of MIMO nonlinear systems with guaranteed error bounds , 2003, IEEE Trans. Autom. Control..

[22]  X. Xu,et al.  Impulsive control in continuous and discrete-continuous systems [Book Reviews] , 2003, IEEE Transactions on Automatic Control.

[23]  Marios M. Polycarpou,et al.  A Robust Adaptive Nonlinear Control Design , 1993, 1993 American Control Conference.

[24]  F. Ding,et al.  Adaptive control of a class of nonlinear systems , 1993, Proceedings of IEEE International Conference on Control and Applications.

[25]  Salim Labiod,et al.  Direct stable fuzzy adaptive control of a class of SISO nonlinear systems , 2003 .

[26]  Salim Labiod,et al.  Decentralized direct adaptive fuzzy control of non-linear interconnected MIMO system class , 2007 .

[27]  H. Chekireb,et al.  DIRECT ADAPTIVE FUZZY CONTROL OF NONLINEAR SYSTEM CLASS WITH APPLICATIONS , 2003 .

[28]  A. Boulkroune,et al.  Adaptive fuzzy control of MIMO nonlinear systems with unknown hysteresis and control gain matrix sign , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[29]  Salim Labiod,et al.  Adaptive fuzzy control of a class of SISO nonaffine nonlinear systems , 2007, Fuzzy Sets Syst..

[30]  Yeong-Chan Chang,et al.  Robust tracking control for nonlinear MIMO systems via fuzzy approaches , 2000, Autom..

[31]  Michael Athans,et al.  Nonlinear and Adaptive Control , 1989 .

[32]  Sheng Qiang,et al.  Stable fuzzy adaptive control for a class of nonlinear system , 2002, Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527).

[33]  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).

[34]  C.-S. Chiu.  Robust adaptive control of uncertain MIMO non-linear systems - feedforward Takagi-Sugeno fuzzy approximation based approach , 2005 .