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Taylor predictor improves chaos controller

Arunas Tamasevicius, Gytis Mykolaitis, Elena Tamaseviciute, Skaidra Bumeliene
Chaos controllers used for stabilizing unstable periodic orbits and/or unstable steady states are very sensitive to unavoidable latency of the controlling feedback force. When the delay value exceeds some critical value the controller fails to work. We consider a specific case of a derivative control applied to stabilize unstable steady state in a third-order autonomous chaotic oscillator. We demonstrate from equations, by PSPICE simulations, and hardware experiments that inserting in the feedback control loop the Taylor predictor essentially improves the performance of the controller.
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