5 papers · 1 filter
Finite-Step Invariant Sets for Hybrid Systems with Probabilistic Guarantees
Varun Madabushi, Elizabeth Dietrich, Hanna Krasowski +1
Poincare return maps are a fundamental tool for analyzing periodic orbits in hybrid dynamical systems, including legged locomotion, power electronics, and other cyber-physical syst…
Probably Approximately Correct Guarantees for Data-Driven Reachability Analysis: A Theoretical and Empirical Comparison
Elizabeth Dietrich, Hanna Krasowski, Murat Arcak
Reachability analysis evaluates system safety by identifying the set in which states may evolve over a time horizon. Data-driven reachability analysis estimates reachable sets and…
Importance Sampling for Statistical Certification of Viable Initial Sets
Elizabeth Dietrich, Hanna Krasowski, Vegard Flovik +1
We study the problem of statistically certifying viable initial sets (VISs)---sets of initial conditions whose trajectories satisfy a given control specification. While VISs can be…
Data-Driven Reachability with Scenario Optimization and the Holdout Method
Elizabeth Dietrich, Rosalyn Devonport, Stephen Tu +1
Reachability analysis is an important method in providing safety guarantees for systems with unknown or uncertain dynamics. Due to the computational intractability of exact reachab…
Symbolic Control for Autonomous Docking of Marine Surface Vessels
Elizabeth Dietrich, Emir Cem Gezer, Bingzhuo Zhong +4
We develop a hierarchical control architecture for autonomous docking maneuvers of a dynamic positioning vessel and provide formal safety guarantees. At the upper-level, we treat t…