Oscillating delayed feedback control schemes for stabilizing equilibrium points

VERÓNICA E. PASTOR; GRACIELA A, GONZÁLEZ

HELIYON

Elsevier

Año: 2019 vol. 5

2405-8440

Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. Two methods based on it are dealt with in this work. It is rigorously proven that for a nonlinear scalar system, stabilization in one of its (unstable) equilibrium points is achieved if any of these methods is applied. An ad-hocmap is associated to the (continuous) controlled system and the results are derived using discrete-time system stabilization tools. Moreover, the stability parameters region is fully described and issues like control performance, rate of convergence or robustness aspects are carefully analyzed.