×VerfasserIn
	0000-0002-6535-8375
	1418844578

Niklas Kruse

Data-driven control of periodic orbits

Universität Rostock, April 23, 2026

https://doi.org/10.18453/rosdok_id00005785

Abstract: This work proposes methods for the stabilization of unstable periodic orbits by dynamically adjusting a system parameter. In particular, the case where the equations of motion of the system that possesses periodic orbits are unknown is discussed. First, a stabilization scheme based on a linear state feedback of a Poincaré map is presented. Furthermore, a data-driven nonlinear control scheme that leads to a large basin of attraction of the stabilized periodic orbit is proposed. The presented methods are numerically validated on both autonomous and non-autonomous nonlinear dynamical systems.

doctoral thesis   free access