Control of Stochastic Second-Order Systems: A Case Study of the Torsional Harmonic Oscillator

• Date: 31. 10. 2024
• Time: 14:00 - 15:30
• Address:
  Sokolovská 83, Praha
• Room: K3
• Speaker: Cristina Perez Diukina

In this study, we explore the data of two harmonic oscillators that present inherent uncertainties in their behavior. Our focus is on understanding whether the dynamics of the Torsional Harmonic Oscillator and its control might benefit from being approached probabilistically rather than through conventional deterministic methods. To investigate this, we introduce randomness into the system through the system's parameters, converting the governing equations into Random Differential Equations. The data collected from the oscillators, subjected to perturbations, help us begin to calibrate these random models. By examining this evolving model alongside the data, we aim to refine our understanding of the system's dynamic behavior and cautiously propose a control scheme. This approach potentially offers more constrained but adjustable solutions than traditional deterministic models.