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variable control of chaos using PSO-based minimum entropy control

Sadeghpour, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.cnsns.2010.09.019
  3. Abstract:
  4. The minimum entropy (ME) control is a chaos control technique which causes chaotic behavior to vanish by stabilizing unstable periodic orbits of the system without using mathematical model of the system. In this technique some controller type, normally delayed feedback controller, with an adjustable parameter such as feedback gain is used. The adjustable parameter is determined such that the entropy of the system is minimized. Proposed in this paper is the PSO-based multi-variable ME control. In this technique two or more control parameters are adjusted concurrently either in a single or in multiple control inputs. Thus it is possible to use two or more feedback terms in the delayed feedback controller and adjust their gains. Also the multi-variable ME control can be used in multi-input systems. The minimizing engine in this technique is the particle swarm optimizer. Using online PSO, the PSO-based multi-variable ME control technique is applied to stabilize the 1-cycle fixed points of the Logistic map, the Hénon map, and the chaotic Duffing system. The results exhibit good effectiveness and performance of this controller
  5. Keywords:
  6. Adjustable parameters ; Chaos ; Chaos control ; Chaotic behaviors ; Control inputs ; Control parameters ; Control techniques ; Delayed feedback ; Duffing system ; Feedback gain ; Fixed points ; Logistic maps ; Minimum entropy ; Minimum entropy control ; Multi variables ; Multi-input system ; Multivariable control ; Particle swarm optimizers ; PSO ; Unstable periodic orbits ; Chaotic systems ; Entropy ; Feedback control ; Mathematical models ; Controllers
  7. Source: Communications in Nonlinear Science and Numerical Simulation ; Vol. 16, Issue. 6 , 2011 , pp. 2397-2404 ; ISSN: 10075704
  8. URL: http://www.sciencedirect.com/science/article/pii/S1007570410004910