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Control barrier functions have been widely used for synthesizing safety-critical controls, often via solving quadratic programs. However, the existence of Gaussian-type noise may lead to unsafe actions and result in severe consequences. In…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Chuanzheng Wang , Yiming Meng , Stephen L. Smith , Jun Liu

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

Reinforcement Learning (RL) algorithms have found limited success beyond simulated applications, and one main reason is the absence of safety guarantees during the learning process. Real world systems would realistically fail or break…

Machine Learning · Computer Science 2019-03-22 Richard Cheng , Gabor Orosz , Richard M. Murray , Joel W. Burdick

We present a closed-form optimal feedback control method that ensures safety in an a prior unknown and potentially dynamic environment. This article considers the scenario where local perception data (e.g., LiDAR) is obtained periodically,…

Robotics · Computer Science 2025-04-23 Amirsaeid Safari , Jesse B. Hoagg

Implementing obstacle avoidance in dynamic environments is a challenging problem for robots. Model predictive control (MPC) is a popular strategy for dealing with this type of problem, and recent work mainly uses control barrier function…

Robotics · Computer Science 2024-04-10 Zetao Lu , Kaijun Feng , Jun Xu , Haoyao Chen , Yunjiang Lou

Uncertainty-aware controllers that guarantee safety are critical for safety critical applications. Among such controllers, Control Barrier Functions (CBFs) based approaches are popular because they are fast, yet safe. However, most such…

Robotics · Computer Science 2024-07-02 Masoud Ataei , Vikas Dhiman

This article presents a systematic method for designing time-varying Control Barrier Functions (CBF) composed of a time-invariant component and multiple time-dependent components, leveraging structural properties of the system dynamics. The…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Adrian Wiltz , Dimos V. Dimarogonas

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

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

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

Learning-based control approaches have shown great promise in performing complex tasks directly from high-dimensional perception data for real robotic systems. Nonetheless, the learned controllers can behave unexpectedly if the trajectories…

Robotics · Computer Science 2023-01-31 Fernando Castañeda , Haruki Nishimura , Rowan McAllister , Koushil Sreenath , Adrien Gaidon

The increasing complexity of control systems necessitates control laws that guarantee safety w.r.t. complex combinations of constraints. In this letter, we propose a framework to describe compositional safety specifications with control…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Tamas G. Molnar , Aaron D. Ames

Ensuring safety for autonomous robots operating in dynamic environments can be challenging due to factors such as unmodeled dynamics, noisy sensor measurements, and partial observability. To account for these limitations, it is common to…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Shaohang Han , Matti Vahs , Jana Tumova

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

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

This paper extends control barrier functions (CBFs) to high order control barrier functions (HOCBFs) that can be used for high relative degree constraints. The proposed HOCBFs are more general than recently proposed (exponential) HOCBFs. We…

Systems and Control · Computer Science 2019-03-15 Wei Xiao , Calin Belta

The existence of a Control Barrier Function (CBF) for a control-affine system provides a powerful design tool to ensure safety. Any controller that satisfies the CBF condition and ensures that the trajectories of the closed-loop system are…

Optimization and Control · Mathematics 2023-06-14 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

While control barrier functions (CBFs) are employed in addressing safety, control synthesis methods based on them generally rely on accurate system dynamics. This is a critical limitation, since the dynamics of complex systems are often not…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Armin Lederer , Azra Begzadić , Sandra Hirche , Jorge Cortés , Sylvia Herbert

In this paper, we define and analyze a subclass of (time-invariant) Control Barrier Functions (CBF) that have favorable properties for the construction of uniformly timevarying CBFs and thereby for the satisfaction of uniformly time-varying…

Systems and Control · Electrical Eng. & Systems 2024-08-26 Adrian Wiltz , Dimos V. Dimarogonas

Ensuring safety in the sense of constraint satisfaction for learning-based control is a critical challenge, especially in the model-free case. While safety filters address this challenge in the model-based setting by modifying unsafe…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter