Optimum design of fractional order PI λD μ controller for AVR system using chaotic ant swarm

Expert Systems with Applications

Volumn 39, Issue 8, 2012, Pages 6887-6896

  Tang, Yinggan ^a,c   Cui, Mingyong ^a   Hua, Changchun ^a   Li, Lixiang ^b,d   Yang, Yixian ^b,d  

^a YANSHAN UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^c NATIONAL ENGINEERING RESEARCH CENTER FOR EQUIPMENT AND TECHNOLOGY OF COLD STRIP ROLLING   (China)

^d BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

AVR system; Chaotic ant swarm; Fractional PID controller; Optimal control

Indexed keywords

AUTOMATIC REGULATORS; AVR SYSTEM; CHAOTIC ANT SWARM; CHAOTIC BEHAVIORS; CONTROL PERFORMANCE; FRACTIONAL CALCULUS; FRACTIONAL ORDER; MODEL UNCERTAINTIES; NON-LINEAR OPTIMIZATION PROBLEMS; OBJECTIVE FUNCTIONS; OPTIMAL CONTROLS; OPTIMIZATION METHOD; OPTIMIZERS; OPTIMUM DESIGNS; PID CONTROLLERS; REFERENCE INPUTS; SETTLING TIME; STEADY STATE ERRORS; SYSTEM ROBUSTNESS;

COOLING SYSTEMS; ELECTRIC CONTROL EQUIPMENT; UNCERTAINTY ANALYSIS;

CONTROLLERS;

EID: 84862778668     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2012.01.007     Document Type: Article

References (36)

1. H.S. Ahn, V. Bhambhani, and Y.Q. Chen Fractional-order integral and derivative controller for temperature profile tracking Sdhan 34 2009 833 850
2. μ controllers with an improved differential evolution Engineering Applications of Artificial Intelligence 22 2009 343 350
3. μ controller design for integer and fractional plants using piecewise orthogonal functions Communications in Nonlinear Science and Numerical Simulation 15 2010 1267 1278
4. J. Cai, X. Ma, Q. Li, L. Li, and H. Peng A multi-objective chaotic ant swarm optimization for environmental/economic dispatch International Journal of Electrical Power & Energy Systems 32 2010 337 344
5. J. Cai, X. Ma, L. Li, Y. Yang, H. Peng, and X. Wang Chaotic ant swarm optimization to economic dispatch Electric Power Systems Research 77 2007 1373 1380
6. Cervera, J.; Banos, A.; Monje, C.; Vinagre, B.; (2006). Tuning of fractional PID controllers by using QFT. In 32nd annual conference on IEEE industrial electronics, IECON 2006 (pp. 5402-5407).
7. Changmao, Q.; Naiming, Q.; Zhiguo, S. (2010). Fractional PID controller design of hypersonic flight vehicle. In international conference on computer, mechatronics, control and electronic engineering (CMCE) 2010 (pp. 466-469).
8. B.J. Cole Is animal behavior chaotic? Evidence from the activity of ants Proceedings of Royal Society of London B, Biological Science 244 1991 253 259
9. Domingues, J.; Valerio, D.; da Costa, J.S. (2009). Rule-based fractional control of an irrigation canal. In Proceedings 35th annual conference of IEEE industrial electronics IECON '09 (pp. 1712-1717).
10. M. Dorigo, V. Maniezzo, and A. Colorni Ant system: Optimization by a colony of cooperating agents IEEE Trans Systems, Man Cybernetics-Part B: Cybernetics 26 1996 29 41
11. Fan, H.; Sun, Y.; Zhang, X. (2007). Research on fractional order controller in servo press control system. In International Conference on Mechatronics and Automation, ICMA 2007 (pp. 2934 -2938).
12. Z.L. Gaing A particle swarm optimization approach for optimum design of PID controller in AVR system IEEE Transactions on Energy Conversion 19 2004 384 391
13. Hong, W. C. (2010). Application of chaotic ant swarm optimization in electric load forecasting. Energy Policy 38, 5830-5839. The socio-economic transition towards a hydrogen economy - findings from European research, with regular papers.
14. C.H. Lee, and F.K. Chang Fractional-order PID controller optimization via improved electromagnetism-like algorithm Expert Systems with Applications 37 2010 8871 8878
15. L.X. Li, H.P. Peng, X.D. Wang, and Y.X. Yang An optimization method inspired by chaotic ant behavior International Journal of Bifurcation and Chaos 16 2006 2351 2364
16. L.X. Li, Y.X. Yang, and H.P. Peng Fuzzy system identification via chaotic ant swarm Chaos, Solitons & Fractals 41 2009 401 409
17. L.X. Li, Y.X. Yang, H.P. Peng, and X.D. Wang Parameters identification of chaotic systems via chaotic ant swarm Chaos, Solitons & Fractals 28 2006 1204 1211
18. Meng, L.; Xue, D. (2009). Design of an optimal fractional-order PID controller using multi-objective GA optimization. In Control and Decision Conference CCDC '09. Chinese, pp. 3849-3853.
19. μ tuning. In 1st IFAC workshop on fractional derivatives and applications, Bordeaux, France.
20. C.A. Monje, B.M. Vinagre, V. Feliu, and Y. Chen Tuning and auto-tuning of fractional order controllers for industry applications Control Engineering Practice 16 2008 798 812
21. Oustaloup, A. (1991). La commande CRONE: commande robuste d'order non entier. Herms, Paris.
22. F. Padula, and A. Visioli Tuning rules for optimal PID and fractional-order PID controllers Journal of Process Control 21 2011 69 81
23. H. Peng, L. Li, Y. Yang, and F. Liu Parameter estimation of dynamical systems via a chaotic ant swarm Physical Review E 81 2010 016207(11)
24. I. Petráš Fractional-order feedback control of a DC motor Journal of Electrical Engineering 60 2009 117 128
25. μ controllers IEEE Transactions on Automatic Control 44 1999 208 214
26. R.V. Solé, O. Miramontes, and B.C. Goodwin Oscillations and chaos in ant societies Journal of Theoretical Biology 161 1993 343 357
27. Y.G. Tang, M.Y. Cui, L.X. Li, H.P. Peng, and X.P. Guan Parameter identification of time-delay chaotic system using chaotic ant swarm Chaos, Solitons & Fractals 41 2009 2097 2102
28. Tehrani, K.; Amirahmadi, A.; Rafiei, S.; Griva, G.; Barrandon, L.; Hamzaoui, M.; Rasoanarivo, I.; Sargos, F. (2010). Design of fractional order PID controller for boost converter based on multi-objective optimization. In 14th International power electronics and motion control conference (EPE/PEMC) (pp. 179-185).
29. D. Valéio, and J.S. da Costa Tuning of fractional PID controllers with Ziegler-Nichols-type rules Signal Processing 86 2006 2771 2784 Special Section: Fractional Calculus Applications in Signals and Systems
30. B.M. Vinagre, and I. Podlubny Some approximations of fractional order operators used in control theory and applications Fractional Calculus & Applications and Analysis 3 2000 231 248
31. M. Wan, L.X. Li, J.H. Xiao, Y.X. Yang, C. Wang, and X.L. Guo CAS based clustering algorithm for Web users Nonlinear Dynamics 61 2010 347 361
32. Z. Wei, F.Z. Ge, Y. Lu, L.X. Li, and Y.X. Yang Chaotic ant swarm for the traveling salesman problem Nonlinear Dynamics 65 2011 271 281
33. Xue, D. Y.; Zhao, C. N.; Chen, Y. Q. (2006). Fractional order PID control of a DC-motor with elastic shaft: A case study. In Proceedings american control conference.
34. H. Yoshida, K. Kawata, Y. Fukuyama, S. Takayama, and Y. Nakanishi A particle swarm optimization for reactive power and voltage control considering voltage security assessment IEEE Transactions on Power Systems 15 2000 1232 1239
35. Zamani, M.; Karimi-Ghartemani, M.; Sadati, N.; Parniani, M. (2009). Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Engineering Practice: Vol. 17. In Special Section: The 2007 IFAC symposium on advances in automotive control (pp. 1380-1387).
36. H. Zhu, L.X. Li, Y. Zhao, Y. Guo, and Y.X. Yang CAS algorithm-based optimum design of PID controller in AVR system Chaos, Solitons & Fractals 42 2009 792 800