Robust Model Free Fuzzy Adaptive Controller with fuzzy and crisp feedback error learning schemes

The aim of the paper is to investigate the different feedback error learning strategies used in conjunction with the Model Free Fuzzy Adaptive Controller (MFFAC). MFFAC guarantees tight control performance in the presence of disturbances and plant uncertainties. These uncertainties might arise due to the un-modelled dynamics of the plant under control or due to the different sensors introduced in the control loop at various points. The MFFAC is based on the model reference adaptive control (MRAC) philosophy and develops an inverse model of the plant by incorporating feedback error learning (FEL) strategy. The MFFAC is modelled as a fuzzy relational model and the identification scheme used is computationally undemanding. FEL governs the behaviour of the MFFAC during the learning phase i.e. whether the fuzzy controller will behave as a PI, PD or PID controller. It is an integral part of the overall identification scheme because it estimates the correct control signal which is consequently used to update the controller parameters. Fuzzy and crisp versions of the FEL have been studied and the comparison of the different approaches is discussed and their impact on the control performance is elaborated.

[1]  Mohammad Teshnehlab,et al.  Recurrent fuzzy neural network by using feedback error learning approaches for LFC in interconnected power system , 2009 .

[2]  H. S. Ko,et al.  A study on control of jet performance from electrostatic nozzle using organic solvents , 2012, 2012 12th International Conference on Control, Automation and Systems.

[3]  Tan Woei Wan,et al.  Development of feedback error learning strategies for training neurofuzzy controllers on-line , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[4]  Arthur L. Dexter,et al.  Temperature control in liquid helium cryostat using self-learning neurofuzzy controller , 2001 .

[5]  M. Kawato,et al.  Hierarchical neural network model for voluntary movement with application to robotics , 1988, IEEE Control Systems Magazine.

[6]  Jun Nakanishi,et al.  Feedback error learning and nonlinear adaptive control , 2004, Neural Networks.

[7]  Han Seo Ko,et al.  Analysis of droplet formation and ejection from electrohydrodynamic nozzle using three-dimensional tomography method , 2012, 2012 12th International Conference on Control, Automation and Systems.

[8]  Han-Xiong Li Adaptive fuzzy control , 1996, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929).

[9]  Woei Wan Tan,et al.  A self-learning fuzzy controller for embedded applications , 2000, Autom..

[10]  Héctor Pomares,et al.  Adaptive fuzzy controller: Application to the control of the temperature of a dynamic room in real time , 2006, Fuzzy Sets Syst..

[11]  Bruce Postlethwaite,et al.  Empirical comparison of methods of fuzzy relational identification , 1991 .

[12]  J. N. Ridley,et al.  Probabilistic fuzzy model for dynamic systems , 1988 .

[13]  Shengwei Wang,et al.  Dynamic simulation of building VAV air-conditioning system and evaluation of EMCS on-line control strategies , 1999 .

[14]  Arthur L. Dexter,et al.  A fuzzy decision-making approach to temperature control in air-conditioning systems , 2005 .

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

[16]  W. Pedrycz,et al.  On identification in fuzzy systems and its applications in control problems , 1981 .

[17]  Pierre Yves Glorennec,et al.  Adaptive Fuzzy Control , 1993 .