Uncertainty Quantification, Estimation, and Optimal Control for Stochastic Hybrid Systems on a Manifold
Abstract
This project is focused on computational frameworks for uncertainty propagation and geometric numerical integration of hybrid systems on a manifold. We first develop a spectral uncertainty propagation technique, where non-commutative harmonic analysis is utilized to solve the Fokker-Planck equation for hybrid systems represented by an integro-partial differential equation. Next, we construct a Lie group variational collision integrator for hybrid systems, which exhibits symplectic-momentum preserving properties and long-time, near energy conservation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 18, 2022
- Accession Number
- AD1230404
Entities
People
- Melvin Leok
- Taeyoung Lee
Organizations
- George Washington University
- University of California, San Diego