Variable-order fuzzy fractional PID controller

ISA Transactions

Volumn 55, Issue , 2015, Pages 227-233

  Liu, Lu ^a   Pan, Feng ^a   Xue, Dingyu ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

Fractional calculus; Fuzzy control; PI D controller; Variable order

Indexed keywords

CALCULATIONS; ELECTRIC CONTROL EQUIPMENT; FUZZY CONTROL; FUZZY INFERENCE; FUZZY LOGIC; PROPORTIONAL CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS;

CONTROL STRATEGIES; FRACTIONAL CALCULUS; FRACTIONAL PID CONTROLLERS; FRACTIONAL-ORDER PID CONTROLLERS; FUZZY LOGIC CONTROL (FLC); FUZZY PID CONTROLLER; SYSTEM STRUCTURES; VARIABLE ORDER;

CONTROLLERS;

EID: 84926253850     PISSN: 00190578     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.isatra.2014.09.012     Document Type: Article

References (29)

1. Liang J, Chen YQ, Fullmer R. Simulation studies on the boundary stabilization and disturbance rejection for fractional diffusion-wave equation. In: Proceedings of the IEEE American control conference, vol. 6; June 2004. p. 5010-5.
2. Reyes-Melo ME, Martinez-Vega JJ, Guerrero-Salazar CA, Ortiz-Mendez U. Application of fractional calculus to modelling of relaxation phenomena of organic dielectric materials. In: Proceedings of the 2004 IEEE international conference on solid dielectrics, ICSD 2004, vol. 2; July 2004. p. 530-3.
3. Duarte FB, Machado JAT. Pseudoinverse trajectory control of redundant manipulators: a fractional calculus perspective. In: Proceedings of the IEEE international conference on robotics and automation, ICRA02, vol. 3; 2002. p. 2406-11.
4. N. Engheia On the role of fractional calculus in electromagnetic theory IEEE Antennas Propag Mag 39 4 1997 35 46
5. Liang J, Chen Y. Boundary control of wave equations with delayed boundary measurement. In: ROBIO; August 2004. p. 849-54.
6. J. Liang, Y. Chen, B.M. Vinagre, and I. Podlubny Identifying diffusion-wave constant, fractional order and boundary profile of a time-fractional diffusion-wave equation from noisy boundary measurements A. Le Mehauté, J.A. Tenreiro, J.C. Trigeassou, J. Sabatier, Fractional differentiation and its applications 2005 Ubooks Germany 517 532
7. Liang J, Chen Y, Vinagre BM, Podlubny I. Identification of a fractional linear diffusion-wave equation from noisy boundary measurements. In: Proceedings of the first IFAC symposium on fractional differentiation and its applications, vol. 20. Bordeaux, France; July 19 2004.
8. T.T. Hartley, and C.F. Lorenzo Fractional-order system identification based on continuous order-distributions Signal Process 83 11 2003 2287 2300
9. E.J. Solteiro Pires, J.A. Tenreiro Machado, and P.B. de Moura Oliveira Fractional order dynamics in a GA planner Signal Process 83 11 2003 2377 2386
10. El-Shahed M. Fractional calculus model of the semilunar heart valve vibrations. In: Proceedings of the ASME 2003 international design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers; January 2003. p. 711-4.
11. S. Das, and K. Maharatna Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators Comput Methods Progr Biomed 112 3 2013 490 507
12. Deng R, Davies P, Bajaj AK. Application of fractional derivatives to modeling the quasi-static response of polyurethane foam. In: Proceedings of the ASME 2003 international design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers; January 2003. p. 819-28.
13. R.L. Magin Fractional calculus in bioengineering 2006 Begell House Redding
14. S.E. Hamamci An algorithm for stabilization of fractional-order time delay systems using fractional-order PID controllers IEEE Trans Autom Control 52 10 2007 1964 1969
15. Y. Luo, and Y. Chen Fractional order [proportional derivative] controller for a class of fractional order systems Automatica 45 10 2009 2446 2450
16. Dμ controllers IEEE Trans Autom Control 44 1 1999 208 214
17. S. Das, I. Pan, S. Das, and A. Gupta A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices Eng Appl Artif Intell 25 2 2012 430 442
18. H. Sun, W. Chen, and Y. Chen Variable-order fractional differential operators in anomalous diffusion modeling Physica A 388 21 2009 4586 4592
19. Sierociuk D, Macias M. Comparison of variable fractional order PID controller for different types of variable order derivatives. In: Proceedings of the 14th IEEE international Carpathian control conference (ICCC); May 2013. p. 334-9.
20. Ostalczyk P. Variable-, fractional-order discrete PID controllers. In: Proceedings of the 17th IEEE international conference on methods and models in automation and robotics (MMAR); August 2012. p. 534-9.
21. S. Samko Fractional integration and differentiation of variable order: an overview Nonlinear Dyn 71 4 2013 653 662
22. P. Ostalczyk, D.W. Brzezinski, P. Duch, M. Łaski, and D. Sankowski The variable, fractional-order discrete-time PD controller in the IISv1. 3 robot arm control Central Eur J Phys 11 6 2013 750 759
23. D. Valério, and J. Sá da Costa Variable order fractional controllers Asian J Control 15 3 2013 648 657
24. C.A. Monje, Y. Chen, B.M. Vinagre, D. Xue, and V. Feliu-Batlle Fractional-order systems and controls: fundamentals and applications 2010 Springer London
25. R.R. Barton, and J.S. Ivey Jr Nelder-Mead simplex modifications for simulation optimization Manag Sci 42 7 1996 954 973
26. I. Pan, S. Das, and A. Gupta Handling packet dropouts and random delays for unstable delayed processes in NCS by optimal tuning of controllers with evolutionary algorithms ISA Trans 50 4 2011 557 572
27. E. Yeşil, M. Güzelkaya, and I. Eksin Self tuning fuzzy PID type load and frequency controller Energy Convers Manag 45 3 2004 377 390
28. D. Xue Control system for computer-aided design - MATLAB language and application 3rd ed 2012 Tsinghua University Press Beijing
29. Dμ controllers for analytical rule extraction with genetic programming ISA Trans 51 2 2012 237 261