An intelligent control for linear ultrasonic motor using interval type-2 fuzzy neural network

An interval type-2 fuzzy neural network (IT2FNN) is developed for the position control of a Θ-axis motion-control stage using a linear ultrasonic motor to confront the uncertainties of the motion-control stage. A T2FNN consists of a type-2 fuzzy linguistic process as the antecedent part and a three-layer interval neural network as the consequent part. A general T2FNN is computationally intensive due to the complexity of reducing type 2 to type 1. Therefore an IT2FNN is adopted to simplify the computational process. Moreover, the developed IT2FNN combines the merits of an interval type-2 fuzzy logic system and a neural network. Furthermore, the parameter-learning of the IT2FNN, which is based on the supervised gradient decent method using a delta adaptation law, is performed on line. Experimental results show that the dynamic behaviours of the proposed IT2FNN control system are more effective and robust with regard to uncertainties than the type-1 FNN control system.

[1]  Jerry M. Mendel,et al.  Interval type-2 fuzzy logic systems , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[2]  J. Mendel Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions , 2001 .

[3]  Rong-Jong Wai,et al.  Recurrent fuzzy neural network control for piezoelectric ceramic linear ultrasonic motor drive. , 2001, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[4]  Faa-Jeng Lin,et al.  Self-constructing recurrent fuzzy neural network for DSP-based permanent-magnet linear-synchronous-motor servodrive , 2006 .

[5]  Chih-Hong Lin,et al.  A permanent-magnet synchronous motor servo drive using self-constructing fuzzy neural network controller , 2004 .

[6]  Chih-Hong Lin,et al.  Recurrent fuzzy neural network controller design using sliding mode for linear synchronous motor drive , 2003 .

[7]  Faa-Jeng Lin,et al.  An Induction Generator System Using Fuzzy Modeling and Recurrent Fuzzy Neural Network , 2007, IEEE Transactions on Power Electronics.

[8]  Rong-Jong Wai,et al.  Wavelet neural network control for linear ultrasonic motor drive via adaptive sliding-mode technique. , 2003, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[9]  Wen Yu,et al.  Fuzzy identification using fuzzy neural networks with stable learning algorithms , 2004 .

[10]  Meiling Zhu,et al.  Contact analysis and mathematical modeling of traveling wave ultrasonic motors. , 2004, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[11]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

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

[13]  Toshiiku Sashida,et al.  An Introduction to Ultrasonic Motors , 1994 .

[14]  Faa-Jeng Lin,et al.  Recurrent RBFN-based fuzzy neural network control for X-Y-/spl Theta/ motion control stage using linear ultrasonic motors , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[15]  Jerry M. Mendel,et al.  Type-2 fuzzy logic systems: type-reduction , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[16]  Jerry M. Mendel,et al.  Centroid of a type-2 fuzzy set , 2001, Inf. Sci..

[17]  Faa-Jeng Lin,et al.  Recurrent fuzzy neural network controller design using sliding-mode control for linear synchronous motor drive , 2004 .

[18]  Jerry M. Mendel,et al.  Interval Type-2 Fuzzy Logic Systems Made Simple , 2006, IEEE Transactions on Fuzzy Systems.

[19]  Nikhil R. Pal,et al.  A neuro-fuzzy scheme for simultaneous feature selection and fuzzy rule-based classification , 2004, IEEE Transactions on Neural Networks.

[20]  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.

[21]  Jerry M. Mendel,et al.  Type-2 fuzzy sets made simple , 2002, IEEE Trans. Fuzzy Syst..

[22]  Zhi Liu,et al.  Fuzzy neural network quadratic stabilization output feedback control for biped robots via H/sub /spl infin// approach. , 2003, IEEE transactions on systems, man, and cybernetics. Part B, Cybernetics : a publication of the IEEE Systems, Man, and Cybernetics Society.

[23]  Meng Joo Er,et al.  An intelligent adaptive control scheme for postsurgical blood pressure regulation , 2005, IEEE Transactions on Neural Networks.