Abstract
The application of Differential Evolution (DE) to the task of PID controller optimization is explored in this chapter. DE is applied in two variants; canonical and chaos mutated. DE canonical version uses a random number generator where as the chaos mutated version uses chaotic maps as the mutation generator. These two variants are applied to three different systems in order to gauge their effectiveness. The results present two main points. The first is the effectiveness of DE over tuning algorithms and other metaheuristics. The second is the competitiveness and effectiveness of embedding chaotic systems in DE.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Astrom, K.: Control System Design. University of California, Santa Barbra (2002)
Caponetto, R., Fortuna, L., Fazzino, S., Xibilia, M.: Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Trans. Evol. Comput. 7(3), 289–304 (2003)
Griffin, I.: On-line pid controller tuning using genetic algorithm. Master’s thesis, Dublin City University, Ireland (2003)
Hennon, M.: A two-dimensional mapping with a strange attractor. Commun. Math. Phys. 50, 69–77 (1979)
Ibrahim, S.: The pid controller design using genetic algorithms. Master’s thesis, University of Southern Queensland, Australia (2005)
Landau, Y.: Digital Control Systems. Springer, London (2006)
Nagraj, B., Subha, S., Rampriya, B.: Tuning algorithms for pid controller using soft computing techniques. International Journal of Computer Science and Network Security 8, 278–281 (2008)
Price, K.: New ideas in Optimisation. McGraw Hill, New York (1999)
Wellstead, P.: Ball and hoop (2008), http://www.control-systems-principles.co.uk
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Davendra, D., Zelinka, I. (2010). Controller Parameters Optimization on a Representative Set of Systems Using Deterministic-Chaotic-Mutation Evolutionary Algorithms. In: Zelinka, I., Celikovsky, S., Richter, H., Chen, G. (eds) Evolutionary Algorithms and Chaotic Systems. Studies in Computational Intelligence, vol 267. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10707-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-10707-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10706-1
Online ISBN: 978-3-642-10707-8
eBook Packages: EngineeringEngineering (R0)