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Stabilizing of Subspaces Based on DPGA and Chaos Genetic Algorithm for Optimizing State Feedback Controller

Author

Listed:
  • M. Hosseinpour
  • P. Nikdel
  • M. A. Badamchizadeh
  • M. A. Poor

Abstract

The main purpose of the paper is to optimize state feedback parameters using intelligent method, GA, Hermite-Biehler, and chaos algorithm. GA is implemented for local search but it has some deficiencies such as trapping into a local minimum and slow convergence, so the combination of Hermite-Biehler and chaos algorithm has been added to GA to avoid its deficiencies. Dividing search space is usually done by distributed population genetic algorithm (DPGA). Moreover, using generalized Hermite-Biehler Theorem can find the domain of parameters. In order to speed up the convergence at the first step, Hermite-Biehler method finds some intervals for controller, in the next step the GA will be added, and, finally, chaos disturbance will help the algorithm to reach a global minimum. Therefore, the proposed method can optimize the parameters of the state feedback controller.

Suggested Citation

  • M. Hosseinpour & P. Nikdel & M. A. Badamchizadeh & M. A. Poor, 2012. "Stabilizing of Subspaces Based on DPGA and Chaos Genetic Algorithm for Optimizing State Feedback Controller," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:186481
    DOI: 10.1155/2012/186481
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