Using Taylor predictor to improve stabilization of steady state in third-order chaotic system

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 that by inserting in the feedback control loop the Taylor predictor the performance of the controller can be essentially improved.