Tuning of 2-DOF fuzzy PI(D) controllers. Laboratory applications

The paper presents aspects concerning the tuning of two-degree-of-freedom (2-DOF) fuzzy controllers focused on 2-DOF PI-fuzzy controllers and on 2-DOF PID-fuzzy controllers. 2-DOF Mamdani and Takagi-Sugeno fuzzy control system structures are offered. The tuning is based on mapping the parameters of the linear PI and PID controllers to the parameters of the fuzzy controllers in terms of the modal equivalence principle. The linear controllers are tuned by Preitl's and Precup's Extended Symmetrical Optimum method. Some experimental results dealing with the speed control of a servo system are given.

[1]  Richard M. Murray,et al.  Feedback Systems An Introduction for Scientists and Engineers , 2007 .

[2]  Yuanwei Jing,et al.  A Q-learning model-independent flow controller for high-speed networks , 2009, 2009 American Control Conference.

[3]  M. Araki,et al.  Two-Degree-of-Freedom PID Controllers , 2003 .

[4]  József K. Tar,et al.  Generic two-degree-of-freedom linear and fuzzy controllers for integral processes , 2009, J. Frankl. Inst..

[5]  Luca Bascetta,et al.  FIR based causal design of 2-d.o.f. controllers for optimal set point tracking , 2008 .

[6]  Okyay Kaynak,et al.  Computing Gradient Vector and Jacobian Matrix in Arbitrarily Connected Neural Networks , 2008, IEEE Transactions on Industrial Electronics.

[7]  J. Vascák,et al.  Fuzzy Cognitive Maps in Path Planning , 2008 .

[8]  Imre J. Rudas,et al.  Modeling and Problem Solving Techniques for Engineers , 2004 .

[9]  Sylvie Galichet,et al.  Fuzzy controllers: synthesis and equivalences , 1995, IEEE Trans. Fuzzy Syst..

[10]  Antonio Visioli,et al.  Fuzzy logic based set-point weight tuning of PID controllers , 1999, IEEE Trans. Syst. Man Cybern. Part A.

[11]  István Á. Harmati,et al.  Robot team coordination for target tracking using fuzzy logic controller in game theoretic framework , 2009, Robotics Auton. Syst..

[12]  W. Marsden.  I and J , 2012 .

[13]  Jun Yoneyama.  Output feedback control for fuzzy systems with immeasurable premise variables , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[14]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[15]  J Richalet,et al.  An approach to predictive control of multivariable time-delayed plant: stability and design issues. , 2004, ISA transactions.

[16]  Hong Li,et al.  A new type of control method for electro-hydraulic Servo systems , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[17]  L. Reznik.  Fuzzy Controllers , 2004 .

[18]  Guang-Hong Yang,et al.  Dynamic output feedback H∞ control synthesis for discrete-time T-S fuzzy systems via switching fuzzy controllers , 2009, Fuzzy Sets Syst..

[19]  Zsolt Csaba Johanyák,et al.  Fuzzy Rule Interpolation Based on Polar Cuts , 2006 .

[20]  S. Preitl,et al.  Design and Experiments for a Class of Fuzzy Controlled Servo Systems , 2008, IEEE/ASME Transactions on Mechatronics.

[21]  Milos Manic,et al.  Multi-robot, multi-target Particle Swarm Optimization search in noisy wireless environments , 2009, 2009 2nd Conference on Human System Interactions.

[22]  Stefan Preitl,et al.  ASPECTS CONCERNING THE TUNING OF 2-DOF FUZZY CONTROLLERS UDC 681.327.2 681.5.01 , 2010 .

[23]  Krzysztof Kozlowski,et al.  Design of a Planar High Precision Motion Stage , 2009 .

[24]  Ruiyun Qi,et al.  Stable indirect adaptive control based on discrete-time T-S fuzzy model , 2008, Fuzzy Sets Syst..

[25]  Levente Kovács,et al.  Type 1 Diabetes Regulated by ANFIS at Molecular Levels , 2009 .

[26]  Mo-Yuen Chow,et al.  EDA-Based Speed Control of a Networked DC Motor System With Time Delays and Packet Losses , 2009, IEEE Transactions on Industrial Electronics.

[27]  Stefan Preitl,et al.  An extension of tuning relations after symmetrical optimum method for PI and PID controllers , 1999, Autom..

[28]  Antonio Visioli.  A new design for a PID plus feedforward controller , 2004 .