In his master thesis he developed an observer design for nonlinear DAE systems. In 2022, he defended his dissertation at the University of Paderborn, which was supervised by Thomas Berger. Topics of this thesis were high-gain control with guaranteed output constraints, filtering for output tracking without derivative information, and applications to multibody systems.

Since 2022, Lukas Lanza has been working as a Postdoctoral researcher in the group Optimization-based Control of Prof. Karl Worthmann at TU Ilmenau. Currently, his research focuses on safe data-driven control, predictive control with guarantees, and learning-based control, with applications to maglev trains, electrical drives, and energy systems.