The Design Method of Globe Fuzzy Sliding-Mode Control in Friction Hystersis System

The novel design method of globe fuzzy sliding-mode control is proposed for a kind of friction unknown hystersis system. To mitigate the effects of hysteresis without constructing inverse hysteresis nonlinearity, Lugre mode is applied to combine with fuzzy sliding-mode control,the fuzzy rulers are given to observe hysteresis nonlinearities based on the conditions of sliding-mode control reach law. The global stability of system is proved. Simulation result shows it can track a desired trajectory in high precision.

[1]  S. K. Mukarram,et al.  Adaptive variable structure control of nonlinear systems , 1999, 1999 European Control Conference (ECC).

[2]  A. Kurdila,et al.  Hysteresis Modeling of SMA Actuators for Control Applications , 1998 .

[3]  Harvey Thomas Banks,et al.  Hysteresis modeling in smart material systems , 1998 .

[4]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[5]  Chih-Lyang Hwang,et al.  Trajectory tracking of large-displacement piezoelectric actuators using a nonlinear observer-based variable structure control , 2005, IEEE Transactions on Control Systems Technology.

[6]  Faa-Jeng Lin,et al.  Adaptive control with hysteresis estimation and compensation using RFNN for piezo-actuator , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  Jong Shik Kim,et al.  Development of a novel dynamic friction model and precise tracking control using adaptive back-stepping sliding mode controller , 2006 .

[8]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems with unknown backlash-like hysteresis , 2000, IEEE Trans. Autom. Control..

[9]  Chun-Yi Su,et al.  Robust adaptive control of a class of nonlinear systems including actuator hysteresis with Prandtl-Ishlinskii presentations , 2006, Autom..

[10]  V. Utkin Variable structure systems with sliding modes , 1977 .

[11]  Xinkai Chen,et al.  Robust control for uncertain systems preceded by hysteresis and disturbances , 2007, SICE Annual Conference 2007.

[12]  Gang Tao,et al.  Adaptive control of plants with unknown hystereses , 1995 .

[13]  Subhash Rakheja,et al.  Adaptive variable structure control of a class of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis , 2005, IEEE Transactions on Automatic Control.