Act-and-wait time-delayed feedback control of autonomous systems |
| |
Authors: | Viktoras Pyragas Kestutis Pyragas |
| |
Institution: | Center for Physical Sciences and Technology, Sauletekio al. 3, LT-10257 Vilnius, Lithuania |
| |
Abstract: | Recently an act-and-wait modification of time-delayed feedback control has been proposed for the stabilization of unstable periodic orbits in nonautonomous dynamical systems (Pyragas and Pyragas, 2016 30]). The modification implies a periodic switching of the feedback gain and makes the closed-loop system finite-dimensional. Here we extend this modification to autonomous systems. In order to keep constant the phase difference between the controlled orbit and the act-and-wait switching function an additional small-amplitude periodic perturbation is introduced. The algorithm can stabilize periodic orbits with an odd number of real unstable Floquet exponents using a simple single-input single-output constraint control. |
| |
Keywords: | Control of chaos Time-delayed feedback control Act-and-wait control Unstable periodic orbit |
本文献已被 ScienceDirect 等数据库收录! |