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Signal Temporal Logic (STL) provides a powerful framework to describe complex tasks involving temporal and logical behavior in dynamical systems. This work addresses controller synthesis for continuous-time systems subject to STL…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Vaishnavi Jagabathula , Pushpak Jagtap

This paper introduces a new framework for synthesizing time-varying control barrier functions (TV-CBFs) for general Signal Temporal Logic (STL) specifications using spatiotemporal tubes (STT). We first formulate the STT synthesis as a…

Systems and Control · Electrical Eng. & Systems 2025-10-23 Ratnangshu Das , Subhodeep Choudhury , Pushpak Jagtap

For a class of spatio-temporal tasks defined by a fragment of Signal Temporal Logic (STL), we construct a nonsmooth time-varying control barrier function (CBF) and develop a controller based on a set of simple optimization problems. Each of…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Adrian Wiltz , Dimos V. Dimarogonas

Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that the system state remains within a desired safe region. This paper presents a framework for CBFs in stochastic systems in the…

Optimization and Control · Mathematics 2020-10-20 Andrew Clark

Control Barrier Functions (CBFs) allow for efficient synthesis of controllers to maintain desired invariant properties of safety-critical systems. However, the problem of identifying a CBF remains an open question. As such, this paper…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Prithvi Akella , Apurva Badithela , Richard M. Murray , Aaron D. Ames

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

This paper presents a control strategy based on a new notion of time-varying fixed-time convergent control barrier functions (TFCBFs) for a class of coupled multi-agent systems under signal temporal logic (STL) tasks. In this framework,…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Maryam Sharifi , Dimos V. Dimarogonas

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

Optimization and Control · Mathematics 2023-12-29 Kunal Garg , James Usevitch , Joseph Breeden , Mitchell Black , Devansh Agrawal , Hardik Parwana , Dimitra Panagou

This paper investigates the design of a subclass of time-varying Control Barrier Functions (CBFs), specifically that of uniformly time-varying CBFs. Leveraging the fact that CBFs encode a system's dynamic capabilities relative to a state…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Adrian Wiltz , Dimos V. Dimarogonas

In the field of control engineering, the connection between Signal Temporal Logic (STL) and time-varying Control Barrier Functions (CBF) has attracted considerable attention. CBFs have demonstrated notable success in ensuring the safety of…

Robotics · Computer Science 2024-04-02 Andrea Ruo , Lorenzo Sabattini , Valeria Villani

Control Barrier Functions (CBFs) are an effective methodology to ensure safety and performative efficacy in real-time control applications such as power systems, resource allocation, autonomous vehicles, robotics, etc. This approach ensures…

Optimization and Control · Mathematics 2024-09-30 Samy Wu Fung , Levon Nurbekyan

This paper introduces integral control barrier functions (I-CBFs) as a means to enable the safety-critical integral control of nonlinear systems. Importantly, I-CBFs allow for the holistic encoding of both state constraints and input bounds…

Optimization and Control · Mathematics 2020-07-09 Aaron D. Ames , Gennaro Notomista , Yorai Wardi , Magnus Egerstedt

This paper considers the general problem of transitioning theoretically safe controllers to hardware. Concretely, we explore the application of control barrier functions (CBFs) to sampled-data systems: systems that evolve continuously but…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Andrew Singletary , Yuxiao Chen , 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

Set invariance techniques such as control barrier functions (CBFs) can be used to enforce time-varying constraints such as keeping a safe distance from dynamic objects. However, existing methods for enforcing time-varying constraints often…

Robotics · Computer Science 2025-11-19 Yitaek Kim , Christoffer Sloth

In emerging control applications involving multiple and complex tasks, safety filters are gaining prominence as a modular approach to enforcing safety constraints. Among various methods, control barrier functions (CBFs) are widely used for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Jason J. Choi , Claire J. Tomlin , Shankar Sastry , Koushil Sreenath

Uncertainties arising in various control systems, such as robots that are subject to unknown disturbances or environmental variations, pose significant challenges for ensuring system safety, such as collision avoidance. At the same time,…

Robotics · Computer Science 2024-03-28 Matti Vahs , Jana Tumova

Because of the scalability issues associated with the symbolic controller synthesis approach, employing it in a multi-agent system (MAS) framework becomes difficult. In this paper, we present a novel approach for synthesizing distributed…

Systems and Control · Electrical Eng. & Systems 2023-12-14 David Smith Sundarsingh , Ratnangshu Das , Adnane Saoud , Pushpak Jagtap

This paper investigates the control synthesis for continuous-time uncertain systems under nested Signal Temporal Logic (STL) specifications containing nested temporal operators. Control Barrier Functions (CBFs) are utilized herein to encode…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yuzhang Peng , Jiaqi Yan , Wei Wang

This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Juan Augusto Paredes Salazar , James Usevitch , Ankit Goel
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