Improved control of a chaotic reaction system using modified delay co-ordinate feedback

Delay co-ordinate feedback (DCF) control may be used to attain periodic oscillations in systems exhibiting low dimensional chaos when measurements of only a single variable are available. This can be achieved by reconstructing the chaotic attractor using time delayed measurements of the variable. In this paper, a modification to the DCF algorithm (2D-DCF) that takes into account sampling rate limitations is introduced. Through application to a chaotic chemical reactor model, it is shown that this algorithm can outperform the conventional DCF controller when measurement sampling frequencies are decreased.