Abstract
Based on subpopulation parallel computing, a novel quantum genetic algorithm (NQGA) is presented. In the algorithm, each axis of solution is divided into k parts, so m dimensional space is partitioned km subspaces, the individual (or chromosome) from different subspace code differently. Finally, NQGA and the classical quantum genetic algorithm (QGA) are applied to parameter optimization of PID controller, simulation results show that NQGA performs better than QGA on running speed and optimizing capability.
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
Benioff, P.: The Computer as a Physical System: A Microscopic Quantum Mechanical Hamiltonian Model of Computers as Represented by Turing Machines. J. Statist. Phys. 22, 563–591 (1980)
Ajit, N., Mark, M.: Quantum-inspired Genetic Algorithms. In: Proceeding of IEEE International conference on Evolutionary Computation, Nagoya, Japan, pp. 61–66 (1996)
Yang, J.A., Li, B., Zhuang, Z.Q.: Multi-universe Parallel Quantum Genetic Algorithm and its Application to Blind-source Separation. In: Proceedings of the International Conference on Neural Networks and Signal Processing, vol. 1, pp. 393–398 (2003)
Zhang, G.X., Jin, W.D., Hu, L.Z.: A Novel Parallel Quantum Genetic Algorithm. In: Proceedings of the fourth International Conference on Parallel and Distributed Computing, Applications and Technologies, pp. 693–697 (2003)
Chen, H., Zhang, J.H., Zhang, C.: Chaos Updating Rotated Gates Quantum-inspired Genetic Algorithm. In: Proceedings of the International Conference on Communications, Circuits and Systems, vol. 2, pp. 1108–1112 (2004)
Wang, L., Tang, F., Wu, H.: Hybrid Genetic Algorithm Based on Quantum Computing for Numerical Optimization and Parameter Estimation. Applied Mathematics and Computation 171(2), 1141–1156 (2005)
Li, P.C., Li, S.Y.: Quantum-inspired Evolutionary Algorithm for Continuous Spaces Optimization. Chinese Journal of Electronics 17(1), 80–84 (2008)
Li, P.C., Li, S.Y.: Quantum-inspired Evolutionary Algorithm for Continuous Spaces Optimization Based on Bloch Coordinates of Qubits. Neurocomputing 72, 581–591 (2008)
Yang, J.A., Li, B., Zhuang, Z.Q.: Research of Quantum Genetic Algorithms and its Application in Blind Source Separation. Journal of Electronics 20(1), 62–68 (2003)
Tao, Y.H.: A Novel PID Controller and its Application. Mechanical Industry Press (2003)
Li, C.Z.: Quantum Communication and Quantum computing. Chang Sha. National University of Defense Technology Press (2000)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum information. Cambridge University Press, Cambridge (2000)
Guo, Z.L., Wang, S.A., Zhuang, J.: A Novel Immune Evolutionary Algorithm Incorporating Chaos Optimization. Pattern Recognition Letters 27(1), 2–8 (2006)
Liu, J., Xu, W.B., Sun, J.: Quantum-behaved Particle Swarm Optimization with Mutation Operator. In: Proceedings of the 17th IEEE International Conference on Tools with Artificial Intelligence (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, J., Zhou, R. (2010). A Novel Quantum Genetic Algorithm for PID Controller. In: Huang, DS., Zhao, Z., Bevilacqua, V., Figueroa, J.C. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2010. Lecture Notes in Computer Science, vol 6215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14922-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-14922-1_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14921-4
Online ISBN: 978-3-642-14922-1
eBook Packages: Computer ScienceComputer Science (R0)