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Useful robot control algorithms should not only achieve performance objectives but also adhere to hard safety constraints. Control Barrier Functions (CBFs) have been developed to provably ensure system safety through forward invariance.…

Robotics · Computer Science 2024-07-18 Matti Vahs , Rafael I. Cabral Muchacho , Florian T. Pokorny , Jana Tumova

Deploying safety-critical controllers in practice necessitates the ability to modulate uncertainties in control systems. In this context, robust control barrier functions -- in a variety of forms -- have been used to obtain safety…

Systems and Control · Electrical Eng. & Systems 2023-03-22 Anil Alan , Tamas G. Molnar , Aaron D. Ames , Gábor Orosz

This paper details the theory and implementation behind practically ensuring safety of remotely piloted racing drones. We demonstrate robust and practical safety guarantees on a 7" racing drone at speeds exceeding 100 km/h, utilizing only…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Andrew Singletary , Aiden Swann , Yuxiao Chen , Aaron D. Ames

The existing control barrier function literature generally relies on precise mathematical models to guarantee system safety, limiting their applicability in scenarios with parametric uncertainties. While incremental control techniques have…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Johannes Autenrieb , Hyo-Sang Shin

Control barrier function (CBF)-based methods provide the minimum modification necessary to formally guarantee safety in the context of quadratic programming, and strict safety guarantee for safety critical systems. However, most CBF-related…

Systems and Control · Electrical Eng. & Systems 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

Safe control for inherently unstable systems such as quadrotors is crucial. Imposing multiple dynamic constraints simultaneously on the states for safety regulation can be a challenging problem. In this paper, we propose a quadratic…

Systems and Control · Computer Science 2022-03-08 Mouhyemen Khan , Munzir Zafar , Abhijit Chatterjee

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano

This article introduces a safe control strategy for application of forces to an external object using a dexterous robotic arm mounted on an unmanned Aerial Vehicle (UAV). A hybrid force-motion controller has been developed for this purpose.…

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

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

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

Autonomous spacecraft inspection and docking missions require controllers that can guarantee safety under thrust constraints and uncertainty. Input-constrained control barrier functions (ICCBFs) provide a framework for safety certification…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Minduli C. Wijayatunga , Richard Linares , Roberto Armellin

Multi-objective safety-critical control entails a diligent design to avoid possibly conflicting scenarios and ensure safety. This paper addresses multi-objective safety-critical control through a novel approach utilizing barrier states…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Hassan Almubarak , Nader Sadegh , Evangelos A. Theodorou

This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

We introduce a novel approach for safe control design based on the density function. A control density function (CDF) is introduced to synthesize a safe controller for a nonlinear dynamic system. The CDF can be viewed as a dual to the…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Joseph Moyalan , Sriram S. K. S Narayanan , Umesh Vaidya

We present a new stability proof for cascaded geometric control used by aerial vehicles tracking time-varying position trajectories. Our approach uses sliding variables and a recently proposed quaternion-based sliding controller to…

Systems and Control · Electrical Eng. & Systems 2026-01-01 Brett T. Lopez

In this paper, we present a controller framework that synthesizes control policies for Jump Markov Linear Systems subject to stochastic mode switches and imperfect mode estimation. Our approach builds on safe and robust methods for Model…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zakariya Laouar , Qi Heng Ho , Rayan Mazouz , Tyler Becker , Zachary N. Sunberg

This paper provides a solution to the problem of safe region formation control with reference velocity tracking for a second-order multi-agent system without velocity measurements. Safe region formation control is a control problem where…

Multiagent Systems · Computer Science 2023-10-17 Ayush Rai , Shaoshuai Mou

Safety in dynamic systems with prevalent uncertainties is crucial. Current robust safe controllers, designed primarily for uni-modal uncertainties, may be either overly conservative or unsafe when handling multi-modal uncertainties. To…

Robotics · Computer Science 2023-10-02 Tianhao Wei , Liqian Ma , Ravi Pandya , Changliu Liu

This paper presents a novel methodology to enforce motion safety guarantees even in the event of a sudden loss of control capabilities by any agent within a multi-agent system. This passive safety methodology permits the replacement of…

Optimization and Control · Mathematics 2023-05-29 Tommaso Guffanti , Simone D'Amico
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