Error Bounds for Compositions of Piecewise Affine Approximations

no code implementations • 23 Feb 2024 • Jonah J. Glunt, Jacob A. Siefert, Andrew F. Thompson, Herschel C. Pangborn

Nonlinear expressions are often approximated by piecewise affine (PWA) functions to simplify analysis or reduce computational costs.

Set-valued State Estimation for Nonlinear Systems Using Hybrid Zonotopes

no code implementations • 17 Apr 2023 • Jacob A. Siefert, Andrew F. Thompson, Jonah J. Glunt, Herschel C. Pangborn

This paper proposes a method for set-valued state estimation of nonlinear, discrete-time systems.

Reachability Analysis Using Hybrid Zonotopes and Functional Decomposition

no code implementations • 13 Apr 2023 • Jacob A. Siefert, Trevor J. Bird, Andrew F. Thompson, Jonah J. Glunt, Justin P. Koeln, Neera Jain, Herschel C. Pangborn

This paper proposes methods for reachability analysis of nonlinear systems in both open loop and closed loop with advanced controllers.

Model Predictive Control