no code implementations • 20 Feb 2024 • Daniel D. Leister, Justin P. Koeln
Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades.
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.
no code implementations • 28 Mar 2023 • Trent J. Sakakini, Justin P. Koeln
Numerical simulations comparing the proposed approach with a more traditional FG approach show that the MB model is capable of accurately modeling the behavior of the FG model while using far fewer states, leading to five times faster simulations.
no code implementations • 18 Oct 2022 • Jacob A. Siefert, Trevor J. Bird, Justin P. Koeln, Neera Jain, Herschel C. Pangborn
This paper presents identities for calculating over-approximated successor sets of discrete-time nonlinear systems using hybrid zonotopes.
no code implementations • 22 Feb 2022 • Vignesh Raghuraman, Justin P. Koeln
A hierarchical Model Predictive Control (MPC) formulation is presented for coupled discrete-time linear systems with state and input constraints.
no code implementations • 28 Jun 2021 • Trevor J. Bird, Herschel C. Pangborn, Neera Jain, Justin P. Koeln
This article presents a new set representation named the hybrid zonotope that is equivalent to the union of $2^N$ constrained zonotopes -- convex polytopes -- through the addition of $N$ binary zonotope factors.