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Minimum entropy control of chaos via online particle swarm optimization method

Sadeghpour, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.apm.2011.09.059
  3. Abstract:
  4. One of the recently developed approaches for control of chaos is the minimum entropy (ME) control technique. In this method an entropy function based on the Shannon definition, is defined for a chaotic system. The control action is designed such that the entropy as a cost function is minimized which results in more regular pattern of motion for the system trajectories. In this paper an online optimization technique using particle swarm optimization (PSO) method is developed to calculate the control action based on ME strategy. The method is examined on some standard chaotic maps with error feedback and delayed feedback forms. Considering the fact that the optimization is online, simulation results show very good effectiveness of the presented technique in controlling chaos
  5. Keywords:
  6. Entropy minimization method ; Online PSO algorithm ; Chaotic map ; Control actions ; Control of chaos ; Control techniques ; Controlling chaos ; Delayed feedback ; Entropy function ; Error feedback ; Minimum entropy ; Minimum entropy control ; Online optimization ; Particle swarm optimization method ; PSO algorithms ; Regular patterns ; System trajectory
  7. Source: Applied Mathematical Modelling ; Vol. 36, Issue. 8 , 2012 , pp. 3931-3940 ; ISSN: 0307904X
  8. URL: http://www.sciencedirect.com/science/article/pii/S0307904X11006184