English
Related papers

Related papers: Extent-Compatible Control Barrier Functions

200 papers

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

This paper presents a synthesis approach aiming to guarantee a minimum upper-bound for the time taken to reach a target set of non-zero measure that encompasses the origin, while taking into account uncertainties and input and state…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Víctor Costa da Silva Campos , Mariella Maia Quadros , Luciano Frezzato , Leonardo Mozelli , Anh-Tu Nguyen

This letter presents a new notion of input-to-state safe control barrier functions (ISSf-CBFs), which ensure safety of nonlinear dynamical systems under input disturbances. Similar to how safety conditions are specified in terms of forward…

Optimization and Control · Mathematics 2018-08-14 Shishir Kolathaya , Aaron D. Ames

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

This paper provides an introduction and overview of recent work on control barrier functions and their use to verify and enforce safety properties in the context of (optimization based) safety-critical controllers. We survey the main…

Systems and Control · Computer Science 2019-03-28 Aaron D. Ames , Samuel Coogan , Magnus Egerstedt , Gennaro Notomista , Koushil Sreenath , Paulo Tabuada

Complex control systems are often described in a layered fashion, represented as higher-order systems where the inputs appear after a chain of integrators. While Control Barrier Functions (CBFs) have proven to be powerful tools for…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Andrew J. Taylor , Pio Ong , Tamas G. Molnar , Aaron D. Ames

This paper investigates the safety guaranteed problem in spacecraft inspection missions, considering multiple position obstacles and logical attitude forbidden zones. In order to address this issue, we propose a control strategy based on…

Systems and Control · Electrical Eng. & Systems 2023-06-09 Kun Wang , Tao Meng , Jiakun Lei , Weijia Wang

This letter presents a density function based safe control synthesis framework for the pursuit-evasion problem. We extend safety analysis to dynamic unsafe sets by formulating a reach-avoid type pursuit-evasion differential game as a robust…

Optimization and Control · Mathematics 2025-05-22 Mustafa Bozdag , Arya Honarpisheh , Mario Sznaier

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

This paper presents a novel approach for ensuring safe operation of systems subject to input nonlinearities and time-varying safety constraints. We extend the time-varying barrier function framework to address time-varying safety…

Systems and Control · Electrical Eng. & Systems 2026-05-01 Felix Biertümpfel , Jungbae Chun , Peter Seiler

This paper proposes a consensus controller for multi-agent systems that can guarantee the agents' safety. The controller, built with the idea of output prediction and the Newton-Raphson method, achieves consensus for a class of…

Systems and Control · Electrical Eng. & Systems 2023-10-03 Kaicheng Niu , Chaouki Abdallah , Mohammad Hayajneh

This paper considers the problem of designing a continuous-time dynamical system that solves a constrained nonlinear optimization problem and makes the feasible set forward invariant and asymptotically stable. The invariance of the feasible…

Optimization and Control · Mathematics 2024-08-27 Ahmed Allibhoy , Jorge Cortés

Safe autonomy is important in many application domains, especially for applications involving interactions with humans. Existing safe control algorithms are similar to one another in the sense that: they all provide control inputs to…

Systems and Control · Electrical Eng. & Systems 2019-10-30 Tianhao Wei , Changliu Liu

We initiate a formal study on the use of low-dimensional latent representations of dynamical systems for verifiable control synthesis. Our main goal is to enable the application of verification techniques -- such as Lyapunov or barrier…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Paul Lutkus , Kaiyuan Wang , Lars Lindemann , Stephen Tu

Control barrier functions (CBFs) provide a principled framework for enforcing safety in control systems -- yet the certified safe operating region in practice is often conservative, especially under input bounds. In many applications,…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Pio Ong , David E. J. van Wijk , Massimiliano de Sa , Joel W. Burdick , Aaron D. Ames

Using reinforcement learning to learn control policies is a challenge when the task is complex with potentially long horizons. Ensuring adequate but safe exploration is also crucial for controlling physical systems. In this paper, we use…

Machine Learning · Computer Science 2019-03-26 Xiao Li , Calin Belta

Deploying safety-critical controllers in practice necessitates the ability to modulate uncertainties in control systems. In this context, robust control barrier functions -- in a variety of forms -- have been used to obtain safety…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Anil Alan , Tamas G. Molnar , Aaron D. Ames , Gábor Orosz

This paper proposes a safety-critical controller for dynamic and uncertain environments, leveraging a robust environment control barrier function (ECBF) to enhance the robustness against the measurement and prediction uncertainties…

Systems and Control · Electrical Eng. & Systems 2024-03-21 Ying Shuai Quan , Jian Zhou , Erik Frisk , Chung Choo Chung

Learning controllers merely based on a performance metric has been proven effective in many physical and non-physical tasks in both control theory and reinforcement learning. However, in practice, the controller must guarantee some notion…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Arash Mehrjou , Mohammad Ghavamzadeh , Bernhard Schölkopf

Control barrier functions (CBFs) have emerged as a popular topic in safety critical control due to their ability to provide formal safety guarantees for dynamical systems. Despite their powerful capabilities, the determination of feasible…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Ali Mesbah , Seid H. Pourtakdoust , Alireza Sharifi , Afshin Banazadeh