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Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

In this paper, we propose a data-driven approach to formally verify the safety of (potentially) unknown discrete-time continuous-space stochastic systems. The proposed framework is based on a notion of barrier certificates together with…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Ali Salamati , Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

To bring complex systems into real world environments in a safe manner, they will have to be robust to uncertainties - both in the environment and the system. This paper investigates the safety of control systems under input disturbances,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Gábor Orosz , Aaron D. Ames

Until recently, the concept of soft robot safety was an informal notion, often attributed solely to the fact that soft robots are less likely to damage their operating environment than rigid robots. As the field moves toward feedback…

Robotics · Computer Science 2025-09-30 Nicholas Pagliocca , Behrad Koohbor , Mitja Trkov

In this paper, we propose a notion of high-order (zeroing) barrier functions that generalizes the concept of zeroing barrier functions and guarantees set forward invariance by checking their higher order derivatives. The proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Xiao Tan , Wenceslao Shaw Cortez , Dimos V. Dimarogonas

In this paper, we consider the problem of synthesizing a controller in the presence of uncertainty such that the resulting closed-loop system satisfies certain hard constraints while optimizing certain (soft) performance objectives. We…

Systems and Control · Electrical Eng. & Systems 2022-10-17 Navid Hashemi , Xin Qin , Jyotirmoy V. Deshmukh , Georgios Fainekos , Bardh Hoxha , Danil Prokhorov , Tomoya Yamaguchi

Using reinforcement learning to learn control policies is a challenge when the task is complex with potentially long horizons. Ensuring adequate but safe exploration is also crucial for controlling physical systems. In this paper, we use…

Machine Learning · Computer Science 2019-03-26 Xiao Li , Calin Belta

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

This article presents an adaptive Super-Twisting Sliding Mode Control framework for uncertain first-order systems, with rate-bounded perturbations, where the bound is constant but unknown. Positive definite barrier functions, when used in…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Antoine Thibault Vié , Leonid Fridman , Roberto Galeazzi , Dimitrios Papageorgiou

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

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

Aiming to promote the wide adoption of safety filters for autonomous aerial robots, this paper presents a safe control architecture designed for seamless integration into widely used open-source autopilots. Departing from methods that…

Robotics · Computer Science 2025-04-23 Nazar Misyats , Marvin Harms , Morten Nissov , Martin Jacquet , Kostas Alexis

In this brief paper we introduce a robust-safety notion for differential inclusions, and we propose a general framework to certify such a notion in terms of barrier functions. While existing literature studied only what we designate by…

Optimization and Control · Mathematics 2023-05-08 Mohamed Maghenem , Masoumeh Ghanbarpour , Adnane Saoud

The widespread deployment of autonomous systems in safety-critical environments such as urban air mobility hinges on ensuring reliable, performant, and safe operation under varying environmental conditions. One such approach, value…

This paper addresses the synthesis of safety-critical controllers using estimate feedback. We propose an observer-controller interconnection to ensure that the nonlinear system remains safe despite bounded disturbances on the system…

Robotics · Computer Science 2022-11-29 Devansh R. Agrawal , Dimitra Panagou

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to…

Optimization and Control · Mathematics 2026-04-29 Thomas Berger

This study presents a framework to guarantee safety for a class of second-order nonlinear systems under multiple state and input constraints. To facilitate real-world applications, a safety-critical controller must consider multiple…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Donggeon David Oh , Dongjae Lee , H. Jin Kim

The need for robust control laws is especially important in safety-critical applications. We propose robust hybrid control barrier functions as a means to synthesize control laws that ensure robust safety. Based on this notion, we formulate…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Alexander Robey , Lars Lindemann , Stephen Tu , Nikolai Matni

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

This paper develops a smooth safety-filtering framework for nonlinear control-affine systems under limited perception. Classical Control Barrier Function (CBF) filters assume global availability of the safety function - its value and…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Lyes Smaili , Soulaimane Berkane