Indirect Adaptive Fuzzy Control of Nonlinear Systems with Terminal Sliding Modes

A global fast terminal sliding mode controller with fast terminal adaptive fuzzy approximator is proposed for general single input single output nonlinear systems. The finite time convergence property of the fast terminal sliding mode is used in the design of the controller. It is applied not only in the reaching phase and the sliding phase of the sliding mode control system, but also in the adaptive fuzzy approximator for the unknown nonlinear system. Stability of the control system and convergence of the approximation are proved.

[1]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

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

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

[4]  Yuri B. Shtessel,et al.  Continuous sliding mode control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[5]  A. Zinober Variable Structure and Lyapunov Control , 1994 .

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

[7]  Chun-Yi Su,et al.  Adaptive control of a class of nonlinear systems with fuzzy logic , 1994, Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference.

[8]  Sheng-De Wang,et al.  Fuzzy system identification using an adaptive learning rule with terminal attractors , 1999, Fuzzy Sets Syst..

[9]  Xinghuo Yu,et al.  Model reference adaptive control systems with terminal sliding modes , 1996 .

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

[11]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[12]  Xinghuo Yu,et al.  On global stabilization of nonlinear dynamical systems , 1999 .

[13]  Dennis S. Bernstein,et al.  Finite-Time Stability of Continuous Autonomous Systems , 2000, SIAM J. Control. Optim..

[14]  L X Wang,et al.  Fuzzy basis functions, universal approximation, and orthogonal least-squares learning , 1992, IEEE Trans. Neural Networks.

[15]  G. Feng,et al.  An adaptive fuzzy controller based on sliding mode for robot manipulators , 1999, IEEE Trans. Syst. Man Cybern. Part B.

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

[17]  S. Bhat,et al.  Lyapunov analysis of finite-time differential equations , 1995, Proceedings of 1995 American Control Conference - ACC'95.

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

[19]  V. Haimo Finite time controllers , 1986 .

[20]  Chuen-Chien Lee,et al.  Fuzzy logic in control systems: fuzzy logic controller. II , 1990, IEEE Trans. Syst. Man Cybern..

[21]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .