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We study stochastic optimization problems with chance and risk constraints, where in the latter, risk is quantified in terms of the conditional value-at-risk (CVaR). We consider the distributionally robust versions of these problems, where…

Optimization and Control · Mathematics 2020-12-17 Ashish Cherukuri , Ashish R. Hota

Distributionally robust chance constrained programs minimize a deterministic cost function subject to the satisfaction of one or more safety conditions with high probability, given that the probability distribution of the uncertain problem…

Optimization and Control · Mathematics 2022-11-22 Zhi Chen , Daniel Kuhn , Wolfram Wiesemann

Control Barrier Functions (CBFs) provide an elegant framework for constraining nonlinear control system dynamics to remain within an invariant subset of a designated safe set. However, identifying a CBF that balances performance-by…

Machine Learning · Computer Science 2024-11-05 Lakshmideepakreddy Manda , Shaoru Chen , Mahyar Fazlyab

This work presents a safe control design approach that integrates the disturbance observer (DOB) and the control barrier function (CBF) for systems with external disturbances. Different from existing robust CBF results that consider the…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yujie Wang , Xiangru Xu

Learning-based adaptation of Control Barrier Function (CBF) parameters offers a promising path toward safe autonomous navigation that balances conservatism with performance. Yet the accuracy of the underlying safety predictor is ultimately…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Jiachen Li , Shihao Li , Dongmei Chen

Control barrier functions (CBFs) are a powerful tool for synthesizing safe control actions; however, constructing CBFs remains difficult for general nonlinear systems. In this work, we provide a constructive framework for synthesizing CBFs…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Gilbert Bahati , Ryan K. Cosner , Max H. Cohen , Ryan M. Bena , Aaron D. Ames

The control barrier function (CBF) has become a fundamental tool in safety-critical systems design since its invention. Typically, the quadratic optimization framework is employed to accommodate CBFs, control Lyapunov functions (CLFs),…

Optimization and Control · Mathematics 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

Control barrier functions (CBFs) have seen widespread success in providing forward invariance and safety guarantees for dynamical control systems. A crucial limitation of discrete-time formulations is that CBFs that are nonconcave in their…

Systems and Control · Electrical Eng. & Systems 2025-10-14 James Usevitch , Juan Augusto Paredes Salazar , Ankit Goel

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Inkyu Jang , H. Jin Kim

Control barrier functions (CBFs) offer an efficient framework for designing real-time safe controllers. However, CBF-based controllers can be short-sighted, resulting in poor performance, a behaviour which is aggravated in uncertain…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Allan Andre do Nascimento , Antonis Papachristodoulou , Kostas Margellos

We propose a novel class of risk-aware control barrier functions (RA-CBFs) for the control of stochastic safety-critical systems. Leveraging a result from the stochastic level-crossing literature, we deviate from the martingale theory that…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Dimitra Panagou

This paper studies the efficient implementation of safety filters that are designed using control barrier functions (CBFs), which minimally modify a nominal controller to render it safe with respect to a prescribed set of states. Although…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Pol Mestres , Shima Sadat Mousavi , Pio Ong , Lizhi Yang , Ersin Das , Joel W. Burdick , Aaron D. Ames

This paper presents a time-varying soft-maximum composite control barrier function (CBF) that can be used to ensure safety in an a priori unknown environment, where local perception information regarding the safe set is periodically…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Amirsaeid Safari , Jesse B. Hoagg

We study portfolio selection with a Conditional Value-at-Risk (CVaR) constraint under distribution shift and serial dependence. While Wasserstein distributionally robust optimization (DRO) offers tractable protection via an ambiguity ball…

Methodology · Statistics 2025-12-19 Derek Long

This paper investigates the distributed safety critical control for multi-agent systems (MASs) in the presence of uncontrollable agents with uncertain behaviors. To ensure system safety, the control barrier function (CBF) is employed in…

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

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

This paper presents a sampled-data framework for the safe navigation of controlled agents in environments cluttered with obstacles governed by uncertain linear dynamics. Collision-free motion is achieved by combining Control Barrier…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Hugo Matias , Daniel Silvestre

Safety filters leveraging control barrier functions (CBFs) are highly effective for enforcing safe behavior on complex systems. It is often easier to synthesize CBFs for a Reduced order Model (RoM), and track the resulting safe behavior on…

Systems and Control · Electrical Eng. & Systems 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

Safety is always one of the most critical principles for a system to be controlled. This paper investigates a safety-critical control scheme for unknown structured systems by using the control barrier function (CBF) method. Benefited from…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Shengbo Wang , Bo Lyu , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

Distributionally robust control (DRC) aims to effectively manage distributional ambiguity in stochastic systems. While most existing works address inaccurate distributional information in fully observable settings, we consider a partially…

Systems and Control · Electrical Eng. & Systems 2022-12-23 Astghik Hakobyan , Insoon Yang