Chaos driven evolutionary algorithms for the task of PID control

Computers and Mathematics with Applications

Volumn 60, Issue 4, 2010, Pages 1088-1104

  Davendra, Donald ^a   Zelinka, Ivan ^a,b   Senkerik, Roman ^a  

^a TOMAS BATA UNIVERSITY IN ZLIN   (Czech Republic)

^b VSB TECHNICAL UNIVERSITY OF OSTRAVA   (Czech Republic)

Author keywords

Chaos maps; Differential Evolution; PID controller; Self organizing migrating algorithm

Indexed keywords

CHAOS MAPS; CONTROLLER OPTIMIZATION; DIFFERENTIAL EVOLUTION; DIFFERENTIAL EVOLUTION ALGORITHMS; LOCAL OPTIMA; LOZI MAP; NEW APPROACHES; NUMBER GENERATOR; PID CONTROL; PID CONTROLLERS; SEARCH STRATEGIES; SELF-ORGANIZING MIGRATING ALGORITHM;

BIOLOGY; CHAOTIC SYSTEMS; CONTROLLERS; ELECTRIC CONTROL EQUIPMENT; FUZZY CONTROL; NUMBER THEORY; PROPORTIONAL CONTROL SYSTEMS; SELF ORGANIZING MAPS; THREE TERM CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

EVOLUTIONARY ALGORITHMS;

EID: 77955416244     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.03.066     Document Type: Conference Paper

References (21)

1. S. Bennett, The past of PID controllers, in: Proceedings Volume of Digital Control: Past, Present and Future of PID Control IFAC Workshop, Great Britain, 2000, pp. 111.
2. W.-D. Chang A multi-crossover genetic approach to multivariable PID controllers tuning Expert Systems with Applications 33 3 2007 620 626
3. L.D. Davis, and M. Mitchell Handbook of Genetic Algorithms 1991 Van Nostrand Reinhold
4. Z. Yachen, H. Yueming, On PID controllers based on simulated annealing algorithm, in: Proceedings of the 27th Chinese Control Conference, Yunnan, China, 2008, pp. 225228.
5. P. Laarhoven, and E. Aarts Simulated Annealing: Theory and Applications 1987 Kluwer Academic Publishing Dordrecht, The Netherlands
6. R. Dong, Differential evolution versus particle swarm optimization for PID controller design, in: Fifth International Conference on Natural Computation, Tianjin, China, 2009, pp. 236240.
7. M. Chakraborty, D. Maiti, A. Konar, The application of stochastic optimization algorithms to the design of a fractional-order PID controller, in: 2008 IEEE Region 10 Colloquium and the Third ICIIS, Kharagpur, India, 2008.
8. J.F. Schutte, and A.A. Groenwold A study of global optimization using particle swarms Journal of Global Optimization 31 1 2005 93 108
9. B. Nagraj, S. Subha, and B. Rampriya Tuning algorithms for PID controller using soft computing techniques International Journal of Computer Science and Network Security 8 2008 278 281
10. S. Ibrahim, The PID controller design using genetic algorithms, Master's Thesis, University of Southern Queensland, Australia, 2005.
11. I. Griffin, On-line PID controller tuning using genetic algorithms, Master's Thesis, Dublin City University, Ireland, 2003.
12. I. Aydin, M. Karakose, and E. Akin Chaotic-based hybrid negative selection algorithm and its applications in fault and anomaly detection Expert Systems with Applications 37 7 2010 5285 5294
13. D. Davendra, and I. Zelinka Controller parameters optimization on a representative set of systems using deterministic-chaotic-mutation evolutionary algorithms I. Zelinka, S. Celikovsk, H. Richter, G. Chen, Evolutionary Algorithms and Chaotic Systems 2010 Springer-Verlag Germany
14. K. Astrom, Control System Design, University of California, Santa Barbra, CA, 2002.
15. Y. Landau Digital Control Systems 2006 Springer London
16. K. Price An introduction to differential evolution New Ideas in Optimization 1999 McGraw Hill
17. I. Zelinka SOMAself organizing migrating algorithm G. Onwubolu, B. Babu, New Optimization Techniques in Engineering 2004 Springer-Verlag Germany
18. I. Zelinka, J. Lampinen, L. Nolle, On the theoretical proof of convergence for a class of soma search algorithms, in: Proceedings of the 7th International MENDEL Conference on Soft Computing, Brno, Czech Rep., 2001, pp. 103110.
19. M. Hennon A two-dimensional mapping with a strange attractor Communications in Mathematical Physics 50 1979 69 77
20. R. Caponetto, L. Fortuna, S. Fazzino, and M. Xibili Chaotic sequences to improve the performance of evolutionary algorithms IEEE Transactions on Evolutionary Computation 7 3 2003 289 304
21. P. Wellstead, Ball and hoop, 2008, URL: http://www.control-systems- principles.co.uk.