Adaptive Integration of Nonsmooth Dynamical Systems
Abstract
The project seeks to produce accurate solutions of differential complementarity problems, which are used to model nonsmooth systems, through use of adaptive integration and simulation techniques. The proposal suggested using "guard functions", functions that yield a safe, generally conservative integration step size such that the trajectory of the system from t0 to t0 dt lies strictly within the admissible region for all unilateral constraints. Put another way- we aim to avoid integrating over nonsmooth events. Through such avoidance, we can find intervals where the system trajectory is smooth. Then tools for smooth systems apply, e.g., higher order integration techniques and integration with error control.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 11, 2017
- Accession Number
- AD1051332
Entities
People
- Evan Drumwright
Organizations
- George Washington University