The Design of Fuzzy Controller Based on Genetic Optimization and Neurofuzzy Networks

In this study, we introduce a neurofuzzy approach to the design of fuzzy controllers. The development process exploits key technologies of Computational Intelligence (CI), namely, genetic algorithms (GA) and neurofuzzy networks. The crux of the design methodology deals with the selection and determination of optimal values of the scaling factors of fuzzy controllers, which are essential to the entire optimization process. First, the tuning of the scaling factors of the fuzzy controller is carried out. Next, we form a nonlinear mapping for the scaling factors, which are realized by GA-based neurofuzzy networks by using a fuzzy set or fuzzy relation. The proposed approach is applied to control nonlinear systems like the inverted pendulum. Results of comprehensive numerical studies are presented through a detailed comparative analysis.

[1]  W. Pedrycz,et al.  Identification of fuzzy models with the aid of evolutionary data granulation , 2001 .

[2]  Sakti Prasad Ghoshal,et al.  INTELLIGENT PARTICLE SWARM OPTIMIZED FUZZY PID CONTROLLER FOR AVR SYSTEM , 2007 .

[3]  Sung-Kwun Oh,et al.  Fuzzy polynomial neural networks: hybrid architectures of fuzzy modeling , 2002, IEEE Trans. Fuzzy Syst..

[4]  Sung-Kwun Oh,et al.  The hybrid multi-layer inference architecture and algorithm of FPNN based on FNN and PNN , 2001, Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569).

[5]  Peng Wang,et al.  Analysis and synthesis of an intelligent control system based on fuzzy logic and the PID principle , 1992 .

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

[7]  Zwe-Lee Gaing,et al.  A particle swarm optimization approach for optimum design of PID controller in AVR system , 2004 .

[8]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[9]  Jyh-Shing Roger Jang,et al.  Self-learning fuzzy controllers based on temporal backpropagation , 1992, IEEE Trans. Neural Networks.

[10]  S. P. Ghoshal Optimizations of PID gains by particle swarm optimizations in fuzzy based automatic generation control , 2004 .

[11]  S. Baskar,et al.  Evolutionary algorithms based design of multivariable PID controller , 2009, Expert Syst. Appl..

[12]  George K. I. Mann,et al.  A systematic study of fuzzy PID controllers-function-based evaluation approach , 2001, IEEE Trans. Fuzzy Syst..

[13]  Zafer Bingul A New PID Tuning Technique Using Differential Evolution for Unstable and Integrating Processes with Time Delay , 2004, ICONIP.

[14]  George K. I. Mann,et al.  New methodology for analytical and optimal design of fuzzy PID controllers , 1999, IEEE Trans. Fuzzy Syst..

[15]  Bor-Sen Chen,et al.  A genetic approach to mixed H/sub 2//H/sub /spl infin// optimal PID control , 1995 .

[16]  Han-Xiong Li A comparative design and tuning for conventional fuzzy control , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Ebrahim H. Mamdani,et al.  A linguistic self-organizing process controller , 1979, Autom..

[18]  Sung-Kwun Oh,et al.  Design of a hybrid fuzzy controller with the optimal auto-tuning method , 1995 .

[19]  Sung-Kwun Oh,et al.  The design of hybrid fuzzy controllers based on genetic algorithms and estimation techniques , 2002 .

[20]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[21]  Wei Wang,et al.  Optimal design of PI/PD controller for non-minimum phase system , 2006 .

[22]  Nam Hoon Jo,et al.  Classification of the Types of Defects in Steam Generator Tubes using the Quasi-Newton Method , 2010 .

[23]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.