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This paper presents two new control approaches for guaranteed safety (remaining in a safe set) subject to actuator constraints (the control is in a convex polytope). The control signals are computed using real-time optimization, including…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Pedram Rabiee , Jesse B. Hoagg

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

Autonomous Cyber-Physical Systems (CPS) fuse proprioceptive sensors such as GPS and exteroceptive sensors including Light Detection and Ranging (LiDAR) and cameras for state estimation and environmental observation. It has been shown that…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Hongchao Zhang , Shiyu Cheng , Luyao Niu , Andrew Clark

In this paper, we propose a compositional framework for the construction of control barrier certificates for large-scale stochastic switched systems accepting multiple control barrier certificates with some dwell-time conditions. The…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Ameneh Nejati , Sadegh Soudjani , Majid Zamani

Control barrier functions have shown great success in addressing control problems with safety guarantees. These methods usually find the next safe control input by solving an online quadratic programming problem. However, model uncertainty…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Chuanzheng Wang , Yinan Li , Yiming Meng , Stephen L. Smith , Jun Liu

Challenges related to automated driving are no longer focused on just the construction of such automated vehicles (AVs), but in assuring the safety of their operation. Recent advances in Level 3 and Level 4 autonomous driving have motivated…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Tong Zhao , Ekim Yurtsever , Joel Paulson , Giorgio Rizzoni

Control barrier functions (CBFs) are widely used in safety-critical controllers. However, constructing a valid CBF is challenging, especially under nonlinear or non-convex constraints and for high relative degree systems. Meanwhile, finding…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

Safety is of great importance in multi-robot navigation problems. In this paper, we propose a control barrier function (CBF) based optimizer that ensures robot safety with both high probability and flexibility, using only sensor…

Robotics · Computer Science 2021-09-17 Yuxiang Cui , Longzhong Lin , Xiaolong Huang , Dongkun Zhang , Yue Wang , Rong Xiong

Established techniques that enable robots to learn from demonstrations are based on learning a stable dynamical system (DS). To increase the robots' resilience to perturbations during tasks that involve static obstacle avoidance, we propose…

Control Barrier Functions (CBFs) are utilized to ensure the safety of control systems. CBFs act as safety filters in order to provide safety guarantees without compromising system performance. These safety guarantees rely on the…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Manan Tayal , Jackson Cox , Pushpak Jagtap , Shishir Kolathaya , Andrew Clark

This paper introduces a method of identifying a maximal set of safe strategies from data for stochastic systems with unknown dynamics using barrier certificates. The first step is learning the dynamics of the system via Gaussian process…

Machine Learning · Computer Science 2024-05-07 Rayan Mazouz , John Skovbekk , Frederik Baymler Mathiesen , Eric Frew , Luca Laurenti , Morteza Lahijanian

Learning-based control has recently shown great efficacy in performing complex tasks for various applications. However, to deploy it in real systems, it is of vital importance to guarantee the system will stay safe. Control Barrier…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

Safety-critical applications require controllers/policies that can guarantee safety with high confidence. The control barrier function is a useful tool to guarantee safety if we have access to the ground-truth system dynamics. In practice,…

Machine Learning · Computer Science 2021-12-30 Athindran Ramesh Kumar , Sulin Liu , Jaime F. Fisac , Ryan P. Adams , Peter J. Ramadge

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

The use of neural networks and reinforcement learning has become increasingly popular in autonomous vehicle control. However, the opaqueness of the resulting control policies presents a significant barrier to deploying neural network-based…

Machine Learning · Computer Science 2021-03-18 Sampo Kuutti , Richard Bowden , Saber Fallah

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

This work is concerned with the safety controller synthesis of stochastic hybrid systems, in which continuous evolutions are described by stochastic differential equations with both Brownian motions and Poisson processes, and instantaneous…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Abolfazl Lavaei , Sadegh Soudjani , Emilio Frazzoli

Ensuring robot safety in complex environments is a difficult task due to actuation limits, such as torque bounds. This paper presents a safety-critical control framework that leverages learning-based switching between multiple backup…

Robotics · Computer Science 2024-03-08 Neil C. Janwani , Ersin Daş , Thomas Touma , Skylar X. Wei , Tamas G. Molnar , Joel W. Burdick

This paper addresses the synthesis of safety-critical controllers using estimate feedback. We propose an observer-controller interconnection to ensure that the nonlinear system remains safe despite bounded disturbances on the system…

Robotics · Computer Science 2022-11-29 Devansh R. Agrawal , Dimitra Panagou

We present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

Robotics · Computer Science 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee