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Safe Feedback Optimization through Control Barrier Functions
Giannis Delimpaltadakis, Pol Mestres, Jorge Cortés +1
Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an i…
Data-Driven Stabilization Using Prior Knowledge on Stabilizability and Controllability
Amir Shakouri, Henk J. van Waarde, Tren M. J. T. Baltussen +1
In this work, we study data-driven stabilization of linear time-invariant systems using prior knowledge of system-theoretic properties, specifically stabilizability and controllabi…
Verification and Synthesis of Discrete-Time Control Barrier Functions
Erfan Shakhesi, W. P. M. H. Heemels, Alexander Katriniok
Discrete-time Control Barrier Functions (DTCBFs) have recently attracted interest for guaranteeing safety and synthesizing safe controllers for discrete-time dynamical systems. Thi…
Feedback Optimization with State Constraints through Control Barrier Functions
Giannis Delimpaltadakis, Pol Mestres, Jorge Cortés +1
Recently, there has been a surge of research on a class of methods called feedback optimization. These are methods to steer the state of a control system to an equilibrium that ari…
Synthesis of Discrete-time Control Barrier Functions for Polynomial Systems Based on Sum-of-Squares Programming
Erfan Shakhesi, W. P. M. H. Heemels, Alexander Katriniok
Discrete-time Control Barrier Functions (DTCBFs) are commonly utilized in the literature as a powerful tool for synthesizing control policies that guarantee safety of discrete-time…
Continuous Approximations of Projected Dynamical Systems via Control Barrier Functions
Giannis Delimpaltadakis, Jorge Cortés, W. P. M. H. Heemels
Projected Dynamical Systems (PDSs) form a class of discontinuous constrained dynamical systems, and have been used widely to solve optimization problems and variational inequalitie…