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Extending the Method of Minimum Entropy Control of Chaos Via PSO and ACO Optimization Algorithms

Sadeghpour, Mehdi | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41505 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Alasti, Aria; Salarieh, Hassan
  7. Abstract:
  8. Minimizing the entropy function of a chaotic system is a recently presented novel technique for stabilizing the unstable periodic orbits embedded in a chaotic attractor. Having the states of the system known, this method suppresses chaotic behavior while the mathematical model of the system is not required. The entropy in the sense of Shannon is defined for the system as a measure of the irregularity of its behavior and considered as an objective function to be minimized. Control action is designed in a way that this entropy decreases. Rather than the previously used gradient descent algorithm, optimization algorithms inspired by nature-oriented swarm intelligence− particle swarm optimization and ant colony optimization− are used for minimizing the entropy function, enhancing the effectiveness and range of the applicability of the minimum entropy control technique. Using the error feedback and delayed feedback controllers, the method is applied for eliminating chaos in some descrete-time and continous-time systems. Having to be employed in real-time applications, the optimization algorithms are implemented online in determining the controller value. The method is also used for controlling chaos in some multi-input systems or systems which have several adjustable parameters in their controller structure
  9. Keywords:
  10. Chaotic System ; Ant Colony Algorithm ; Minimum Antropy Control ; Particles Swarm Optimization (PSO) ; Delayed Feedback Control ; Delayed Feedback

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