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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

This paper presents a safe feedback control framework for nonlinear control-affine systems with parametric uncertainty by leveraging adaptive dynamic programming (ADP) with barrier-state augmentation. The developed ADP-based controller…

Optimization and Control · Mathematics 2026-01-05 Trivikram Satharasi , Tochukwu E. Ogri , Muzaffar Qureshi , Kyle Volle , Rushikesh Kamalapurkar

In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

Optimization and Control · Mathematics 2023-04-05 Mitchell Black , Dimitra Panagou

In this paper, we propose a novel approach to synthesize linear feedback controllers for navigating in polygonal environments using noisy measurements and a convex cell decomposition. Our method is based on formulating chance constraints…

Optimization and Control · Mathematics 2020-12-22 Chenfei Wang , Mahroo Bahreinian , Roberto Tron

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

Safety in obstacle avoidance is critical for autonomous driving. While model predictive control (MPC) is widely used, simplified prediction models such as linearized or single-track vehicle models introduce discrepancies between predicted…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Shiming Fang , Xilin Li , Changzhi Wu , Kaiyan Yu

Solving chance-constrained optimal control problems for systems subject to non-stationary uncertainties is a significant challenge.Conventional robust model predictive control (MPC) often yields excessive conservatism by relying on static…

Systems and Control · Electrical Eng. & Systems 2025-07-16 Mingcong Li

Control barrier functions (CBF) are widely explored to enforce the safety-critical constraints on nonlinear systems recently. There are many researchers incorporating the control barrier functions into path planning algorithms to find a…

Robotics · Computer Science 2024-10-02 Leonas Liu , Yingfan Zhang , Larry Zhang , Mehbi Kermanshabi

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

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

Achieving safe autonomous navigation systems is critical for deploying robots in dynamic and uncertain real-world environments. In this paper, we propose a hierarchical control framework leveraging neural network verification techniques to…

Artificial Intelligence · Computer Science 2025-05-01 Luca Marzari , Francesco Trotti , Enrico Marchesini , Alessandro Farinelli

This paper proposes a risk-aware control approach to enforce safety for discrete-time nonlinear systems subject to stochastic uncertainties. We derive some useful results on the worst-case Conditional Value-at-Risk (CVaR) and define a…

Optimization and Control · Mathematics 2023-08-29 Masako Kishida

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) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

In this paper, we propose a new class of Control Barrier Functions (CBFs) for Unmanned Ground Vehicles (UGVs) that help avoid collisions with kinematic (non-zero velocity) obstacles. While the current forms of CBFs have been successful in…

This paper studies the problem of safe control of sampled-data systems under bounded disturbance and measurement errors with piecewise-constant controllers. To achieve this, we first propose the High-Order Doubly Robust Control Barrier…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Pradeep Sharma Oruganti , Parinaz Naghizadeh , Qadeer Ahmed

The barrier function method for safety control typically assumes the availability of full state information. Unfortunately, in many scenarios involving uncertain dynamical systems, full state information is often unavailable. In this paper,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Binghan He , Takashi Tanaka

We develop a control algorithm that ensures the safety, in terms of confinement in a set, of a system with unknown, 2nd-order nonlinear dynamics. The algorithm establishes novel connections between data-driven and robust, nonlinear control.…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Christos K. Verginis , Franck Djeumou , Ufuk Topcu

Autonomous navigation and obstacle avoidance remain a core challenge of modern Unmanned Aerial Vehicles (UAVs). While traditional control methods struggle with the complexity and variability of the environment, reinforcement learning (RL)…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Ashik Abrar Naeem , Mohammad Ariful Haque

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni
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