A New Methodology for the Online Adaptation of Fuzzy Self-Structuring Controllers

In this study, a novel fuzzy controller, which is able to self-design from scratch, while working online, is proposed. The controller does not use the information regarding the differential equations that govern the plant's behavior or any of their bounds. The algorithm presented is able to determine the most-adequate topology for the fuzzy controller based on the data obtained during the system's normal operation. Therefore, the controller can start operating with an empty set of fuzzy rules and needs no offline training. The proposed methodology comprises two phases: adaptation of the consequents for every selected topology and online addition of new membership functions (MFs). Some of the main advantages of this method are its robustness under changes on the plant's dynamics, good performance in noisy situations, and the ability to perform variable selection among a group of candidate variables. Unlike other online methods, the modification of the topology is based on the analysis of the whole operating region of the plant, thus providing higher robustness. Several simulation examples are used to show these features.

[1]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

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

[3]  Hassan K. Khalil,et al.  Adaptive control of a class of nonlinear discrete-time systems using neural networks , 1995, IEEE Trans. Autom. Control..

[4]  Cheng-Jian Lin,et al.  Fuzzy adaptive learning control network with on-line neural learning , 1995 .

[5]  Juan Luis Castro,et al.  Fuzzy logic controllers are universal approximators , 1995, IEEE Trans. Syst. Man Cybern..

[6]  J. T. Spooner,et al.  Direct adaptive fuzzy control for a class of discrete-time systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[7]  A. C. Tsoi,et al.  A new approach to adaptive fuzzy control: the controller output error method , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[8]  Hao Ying,et al.  Fuzzy Control and Modeling: Analytical Foundations and Applications , 2000 .

[9]  Héctor Pomares,et al.  Self-organized fuzzy system generation from training examples , 2000, IEEE Trans. Fuzzy Syst..

[10]  Héctor Pomares,et al.  A systematic approach to a self-generating fuzzy rule-table for function approximation , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[11]  Héctor Pomares,et al.  Structure identification in complete rule-based fuzzy systems , 2002, IEEE Trans. Fuzzy Syst..

[12]  M. Er,et al.  Online adaptive fuzzy neural identification and control of a class of MIMO nonlinear systems , 2003, IEEE Trans. Fuzzy Syst..

[13]  Kazuo Furuta,et al.  Evolutionary learning of fuzzy logic controllers and their adaptation through perpetual evolution , 2002, IEEE Trans. Fuzzy Syst..

[14]  Héctor Pomares,et al.  A two-stage approach to self-learning direct fuzzy controllers , 2002, Int. J. Approx. Reason..

[15]  Yakov Frayman,et al.  A dynamically generated fuzzy neural network and its application to torsional vibration control of tandem cold rolling mill spindles , 2002 .

[16]  Chunshien Li,et al.  Self-organizing neuro-fuzzy system for control of unknown plants , 2003, IEEE Trans. Fuzzy Syst..

[17]  Hazem N. Nounou,et al.  Stable auto-tuning of adaptive fuzzy/neural controllers for nonlinear discrete-time systems , 2004, IEEE Transactions on Fuzzy Systems.

[18]  Plamen P. Angelov,et al.  A fuzzy controller with evolving structure , 2004, Inf. Sci..

[19]  Héctor Pomares,et al.  Online global learning in direct fuzzy controllers , 2004, IEEE Transactions on Fuzzy Systems.

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

[21]  Jang-Hyun Park,et al.  Direct adaptive self-structuring fuzzy controller for nonaffine nonlinear system , 2005, Fuzzy Sets Syst..

[22]  Cheng-Jian Lin,et al.  A novel genetic reinforcement learning for nonlinear fuzzy control problems , 2006, Neurocomputing.

[23]  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..

[24]  M. F. Zarandi,et al.  Reinforcement Learning for Fuzzy Control with Linguistic States , 2007 .

[25]  Arthur L. Dexter,et al.  Evolving Fuzzy Model-based Adaptive Control , 2007, 2007 IEEE International Fuzzy Systems Conference.

[26]  Jorge Casillas,et al.  Quick Design of Fuzzy Controllers With Good Interpretability in Mobile Robotics , 2007, IEEE Transactions on Fuzzy Systems.

[27]  Timothy J. Gale,et al.  Direct adaptive fuzzy control with a self-structuring algorithm , 2008, Fuzzy Sets Syst..

[28]  Robert Babuska,et al.  Adaptive fuzzy control of a non-linear servo-drive: Theory and experimental results , 2008, Eng. Appl. Artif. Intell..

[29]  Qing-Long Han,et al.  On Designing Fuzzy Controllers for a Class of Nonlinear Networked Control Systems , 2008, IEEE Transactions on Fuzzy Systems.

[30]  Chia-Feng Juang,et al.  A symbiotic genetic algorithm with local-and-global mapping search for reinforcement fuzzy control , 2008, J. Intell. Fuzzy Syst..

[31]  Wei-Yen Wang,et al.  An on-line robust and adaptive T-S fuzzy-neural controller for more general unknown systems , 2008 .

[32]  Chin-Teng Lin,et al.  Nonlinear System Control Using Adaptive Neural Fuzzy Networks Based on a Modified Differential Evolution , 2009, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[33]  Wang Yan,et al.  Control rules of aeration in a submerged biofilm wastewater treatment process using fuzzy neural networks , 2009, Expert Syst. Appl..

[34]  Djamila Rekioua,et al.  Fuzzy logic control of stand-alone photovoltaic system with battery storage , 2009 .

[35]  Bartolomeo Cosenza,et al.  Control of the biodegradation of mixed wastes in a continuous bioreactor by a type-2 fuzzy logic controller , 2009, Comput. Chem. Eng..

[36]  Yanjun Liu,et al.  Adaptive robust fuzzy control for a class of uncertain chaotic systems , 2009 .