Publications [#248377] of Joshua Socolar
- Harrington, I; Socolar, JES, Design and robustness of delayed feedback controllers for discrete systems,
Physical Review E Statistical, Nonlinear, and Soft Matter Physics, vol. 69 no. 5
pp. 8, ISSN 1539-3755 [doi]
(last updated on 2019/04/26)
We study a matrix form of time-delay feedback control in the context of discrete time maps of high dimension. In almost all cases where standard proportional feedback control methods can achieve control, time-delay feedback controllers containing only static elements can be designed to achieve identical linear stability properties. Analysis of an example involving a ring of coupled maps that can be controlled at only two sites demonstrates that the time-delay controller equivalent to a standard optimal controller can be equally robust in the presence of noise, except at special points in parameter space where the uncontrolled system has a mode with Floquet multiplier exactly equal to 1. Numerical simulations confirm the results of the analysis. © 2004 The American Physical Society.