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Sampling-based algorithms, such as Rapidly Exploring Random Trees (RRT) and its variants, have been used extensively for motion planning. Control barrier functions (CBFs) have been recently proposed to synthesize controllers for…

Robotics · Computer Science 2022-06-03 Ahmad Ahmad , Calin Belta , Roberto Tron

Breaking safety constraints in control systems can lead to potential risks, resulting in unexpected costs or catastrophic damage. Nevertheless, uncertainty is ubiquitous, even among similar tasks. In this paper, we develop a novel adaptive…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Shengbo Wang , Ke Li , Yin Yang , Yuting Cao , Tingwen Huang , Shiping Wen

This paper considers the tracking control problem for an unknown nonlinear system with time-varying bounded disturbance subjected to a prescribed performance and input constraints. When performance and input constraints are specified…

Systems and Control · Electrical Eng. & Systems 2022-10-13 Pankaj K Mishra , Pushpak Jagtap

In this draft article, we consider the problem of achieving safe control of a dynamic system for which the safety index or (control barrier function (loosely)) has relative degree equal to two. We consider parameter affine nonlinear dynamic…

Optimization and Control · Mathematics 2022-08-26 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

Artificial potential fields (APFs) and their variants have been a staple for collision avoidance of mobile robots and manipulators for almost 40 years. Its model-independent nature, ease of implementation, and real-time performance have…

Robotics · Computer Science 2020-10-21 Andrew Singletary , Karl Klingebiel , Joseph Bourne , Andrew Browning , Phil Tokumaru , Aaron Ames

We address the problem of controlling Connected and Automated Vehicles (CAVs) in conflict areas of a traffic network subject to hard safety constraints. It has been shown that such problems can be solved through a combination of tractable…

Robotics · Computer Science 2023-06-06 Ehsan Sabouni , H. M. Sabbir Ahmad , Wei Xiao , Christos G. Cassandras , Wenchao Li

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

Training-time safety violations have been a major concern when we deploy reinforcement learning algorithms in the real world. This paper explores the possibility of safe RL algorithms with zero training-time safety violations in the…

Machine Learning · Computer Science 2022-03-14 Yuping Luo , Tengyu Ma

This paper studies control synthesis for a general class of nonlinear, control-affine dynamical systems under additive disturbances and state-estimation errors. We enforce forward invariance of static and dynamic safe sets and convergence…

Optimization and Control · Mathematics 2021-04-14 Kunal Garg , Dimitra Panagou

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

Robotics · Computer Science 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

This paper introduces harmonic control Lyapunov barrier functions (harmonic CLBF) that aid in constrained control problems such as reach-avoid problems. Harmonic CLBFs exploit the maximum principle that harmonic functions satisfy to encode…

Optimization and Control · Mathematics 2024-03-27 Amartya Mukherjee , Ruikun Zhou , Haocheng Chang , Jun Liu

Approximate dynamic programming (ADP) faces challenges in dealing with constraints in control problems. Model predictive control (MPC) is, in comparison, well-known for its accommodation of constraints and stability guarantees, although its…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

This paper addresses the problem of tracking control for an unknown nonlinear system with time-varying bounded disturbance subjected to prescribed Performance and Input Constraints (PIC). Since simultaneous prescription of PIC involves a…

Optimization and Control · Mathematics 2023-04-25 Pankaj K Mishra , Pushpak Jagtap

This paper presents a hybrid control framework with a risk-budgeted monitor for safety-certified autonomous driving. A sliding-window monitor tracks insufficient barrier residuals and triggers switching from a relaxed control barrier…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Pei Yu Chang , Vishnu Renganathan , Qadeer Ahmed

Construction automation increasingly requires autonomous mobile robots, yet robust autonomy remains challenging on construction sites. These environments are dynamic and often visually occluded, which complicates perception and navigation.…

Robotics · Computer Science 2026-02-16 Johannes Mootz , Reza Akhavian

We present an approach for satisfying state constraints in systems with nonparametric uncertainty by estimating this uncertainty with a real-time-update Gaussian process (GP) model. Notably, new data is incorporated into the model in real…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Ricardo Gutierrez , Jesse B. Hoagg

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

Safety-critical control systems, such as spacecraft performing proximity operations, must provide formal safety guarantees despite stochastic uncertainties from state estimation and unmodeled dynamics. Although Control Barrier Functions…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kazuya Echigo , David E. J. van Wijk , Pol Mestres , Ersin Daş , Joel W. Burdick , Aaron D. Ames

Control barrier functions (CBFs) are a popular approach to design feedback laws that achieve safety guarantees for nonlinear systems. The CBF-based controller design relies on the availability of a model to select feasible inputs from the…

Optimization and Control · Mathematics 2025-06-17 Lukas Lanza , Johannes Köhler , Dario Dennstädt , Thomas Berger , Karl Worthmann

This paper introduces a method for effectively controlling the movement of an Unmanned Aerial Vehicle (UAV) within a tunnel. The primary challenge of this problem lies in the UAV's exposure to nonlinear distance-dependent torques and forces…

Robotics · Computer Science 2023-03-29 Vedant Mundheda , Damodar Datta K , Harikumar Kandath