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Safety-critical control tasks with high levels of uncertainty are becoming increasingly common. Typically, techniques that guarantee safety during learning and control utilize constraint-based safety certificates, which can be leveraged to…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Alexandre Capone , Ryan Cosner , Aaron Ames , Sandra Hirche

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

Robotics · Computer Science 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

This paper studies the problem of finite-time convergence to a prescribed safe set for nonlinear systems whose initial states violate the safety constraints. Existing Control Lyapunov-Barrier Functions (CLBFs) can enforce recovery to the…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Anni Li , Yingqing Chen , Christos G. Cassandras , Wei Xiao

The need for robust control laws is especially important in safety-critical applications. We propose robust hybrid control barrier functions as a means to synthesize control laws that ensure robust safety. Based on this notion, we formulate…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Alexander Robey , Lars Lindemann , Stephen Tu , Nikolai Matni

The decision logic for the ACAS X family of aircraft collision avoidance systems is represented as a large numeric table. Due to storage constraints of certified avionics hardware, neural networks have been suggested as a way to…

Systems and Control · Electrical Eng. & Systems 2020-05-07 Kyle D. Julian , Mykel J. Kochenderfer

Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control…

Optimization and Control · Mathematics 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

In this paper, we consider the problem of synthesizing a controller in the presence of uncertainty such that the resulting closed-loop system satisfies certain hard constraints while optimizing certain (soft) performance objectives. We…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Navid Hashemi , Xin Qin , Jyotirmoy V. Deshmukh , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Tomoya Yamaguchi

The rapid integration of AI algorithms in safety-critical applications such as autonomous driving and healthcare is raising significant concerns about the ability to meet stringent safety standards. Traditional tools for formal safety…

Artificial Intelligence · Computer Science 2026-01-21 Oliver Schön , Zhengang Zhong , Sadegh Soudjani

Classically, a control loop is designed to be executed strictly periodically. This is, however, difficult to achieve in many scenarios, for example, when overload or packet loss cannot be entirely avoided. Here, weakly-hard real-time…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Maximilian Gaukler , Tim Rheinfels , Peter Ulbrich , Günter Roppenecker

Flow-based generative models, such as diffusion models and flow matching models, have achieved remarkable success in learning complex data distributions. However, a critical gap remains for their deployment in safety-critical domains: the…

Machine Learning · Computer Science 2026-03-02 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

Optimization and Control · Mathematics 2023-03-24 Joseph Breeden , Dimitra Panagou

This paper considers the problem of maintaining global connectivity of a multi-robot system while executing a desired coordination task. Our approach builds on optimization-based feedback design formulations, where the nominal cost function…

Optimization and Control · Mathematics 2023-06-29 Pio Ong , Beatrice Capelli , Lorenzo Sabattini , Jorge Cortes

Neural networks serve as effective controllers in a variety of complex settings due to their ability to represent expressive policies. The complex nature of neural networks, however, makes their output difficult to verify and predict, which…

Artificial Intelligence · Computer Science 2021-10-22 Sydney M. Katz , Kyle D. Julian , Christopher A. Strong , Mykel J. Kochenderfer

An important class of cyber-physical systems relies on multiple agents that jointly perform a task by coordinating their actions over a wireless network. Examples include self-driving cars in intelligent transportation and production robots…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Fabian Mager , Dominik Baumann , Carsten Herrmann , Sebastian Trimpe , Marco Zimmerling

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 arises as the solution of an optimization problem. Despite the…

Optimization and Control · Mathematics 2026-02-18 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

A common assumption on the deployment of safeguarding controllers on the digital platform is that high sampling frequency translates to a small violation of safety. This paper investigates and formalizes this assumption through the lens of…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Gilbert Bahati , Pio Ong , Aaron D. Ames

We consider the problem of guaranteeing that the transient voltages and currents stay within prescribed bounds in Direct Current (DC) microgrids, when the controller does not have access to accurate system dynamics due to the load being…

Systems and Control · Electrical Eng. & Systems 2021-02-05 K. C. Kosaraju , S. Sivaranjani , V. Gupta

This paper is concerned with path-complete barrier functions which offer a graph-based methodology for verifying safety properties in switched systems. The path-complete framework leverages algebraic (barrier functions) as well as…

Systems and Control · Electrical Eng. & Systems 2025-03-30 Mahathi Anand , Raphaël Jungers , Majid Zamani , Frank Allgöwer

Networked control systems (NCS) are widely used in safety-critical applications, but they are often analyzed under the assumption of ideal communication channels. This work focuses on the synthesis of safety controllers for discrete-time…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Yihan Liu , Meiqi Tian , Teng Yan , Bingzhuo Zhong

Control barrier certificates have proven effective in formally guaranteeing the safety of the control systems. However, designing a control barrier certificate is a time-consuming and computationally expensive endeavor that requires expert…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Alireza Nadali , Ashutosh Trivedi , Majid Zamani