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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

Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Zihao Liang , Jason King Ching Lo

We consider the problem of coordinating a collection of switched subsystems under both local and global constraints for safe operation of the system. Although an invariant set can be leveraged to construct a safety-guaranteed controller for…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Sunho Jang , Necmiye Ozay , Johanna L. Mathieu

The assurance of real-time properties is prone to context variability. Providing such assurance at design time would require to check all the possible context and system variations or to predict which one will be actually used. Both cases…

Software Engineering · Computer Science 2018-04-04 Arthur Rodrigues , Ricardo Diniz Caldas , Genaína Nunes Rodrigues , Thomas Vogel , Patrizio Pelliccione

Safety is one of the most crucial challenges of autonomous driving vehicles, and one solution to guarantee safety is to employ an additional control revision module after the planning backbone. Control Barrier Function (CBF) has been widely…

Robotics · Computer Science 2025-03-18 Zehang Zhu , Yuning Wang , Tianqi Ke , Zeyu Han , Shaobing Xu , Qing Xu , John M. Dolan , Jianqiang Wang

In this paper, a variable gain super-twisting algorithm based on a barrier function is proposed for a class of first order disturbed systems with uncertain control coefficient and whose disturbances derivatives are bounded but they are…

Optimization and Control · Mathematics 2019-09-18 Hussein Obeid , Salah Laghrouche , Leonid Fridman , Yacine Chitour , Mohamed Harmouche

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

In this paper, we consider the setting of piecewise i.i.d. bandits under a safety constraint. In this piecewise i.i.d. setting, there exists a finite number of changepoints where the mean of some or all arms change simultaneously. We…

Machine Learning · Computer Science 2022-05-30 Subhojyoti Mukherjee

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

We develop an adaptive control architecture to achieve stabilization and command following of uncertain dynamical systems with improved transient performance. Our framework consists of a new reference system and an adaptive controller. The…

Dynamical Systems · Mathematics 2013-09-27 Tansel Yucelen , Gerardo De La Torre , Eric N. Johnson

This paper considers the safety-critical control design problem with output measurements. An observer-based safety control framework that integrates the estimation error quantified observer and the control barrier function (CBF) approach is…

Optimization and Control · Mathematics 2023-01-24 Yujie Wang , Xiangru Xu

This letter presents a new notion of input-to-state safe control barrier functions (ISSf-CBFs), which ensure safety of nonlinear dynamical systems under input disturbances. Similar to how safety conditions are specified in terms of forward…

Optimization and Control · Mathematics 2018-08-14 Shishir Kolathaya , Aaron D. Ames

Shared control combines human intention with autonomous decision-making. At the low level, the primary goal is to maintain safety regardless of the user's input to the system. However, existing shared control methods-based on, e.g., Model…

Robotics · Computer Science 2026-03-18 Shivam Chaubey , Francesco Verdoja , Shankar Deka , Ville Kyrki

In this paper, we establish a connection between model predictive control (MPC) techniques and Control Barrier Functions (CBFs). Recognizing the similarity between CBFs and Control Lyapunov Functions (CLFs), we propose a MPC formulation…

Optimization and Control · Mathematics 2025-07-03 Jingyi Huang , Han Wang , Kostas Margellos , Paul Goulart

Control barrier functions are widely used to enforce safety properties in robot motion planning and control. However, the problem of constructing barrier functions online and synthesizing safe controllers that can deal with the associated…

Robotics · Computer Science 2021-02-12 Kehan Long , Cheng Qian , Jorge Cortés , Nikolay Atanasov

We propose new methods to synthesize control barrier function (CBF)-based safe controllers that avoid input saturation, which can cause safety violations. In particular, our method is created for high-dimensional, general nonlinear systems,…

Robotics · Computer Science 2022-11-22 Simin Liu , Changliu Liu , John Dolan

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

This paper introduces the notion of an Input Constrained Control Barrier Function (ICCBF), as a method to synthesize safety-critical controllers for non-linear control affine systems with input constraints. The method identifies a subset of…

Optimization and Control · Mathematics 2023-03-15 Devansh Agrawal , Dimitra Panagou

Safety has been recognized as the central obstacle to preventing the use of reinforcement learning (RL) for real-world applications. Different methods have been developed to deal with safety concerns in RL. However, learning reliable…

Machine Learning · Computer Science 2023-02-08 Huiliang Zhang , Di Wu , Benoit Boulet

A unified solution to adaptive approximation-based control for nonlinear systems with accurate and inaccurate state measurement is synthesized in this study. Starting from the standard adaptive approximation-based controller with accurate…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Dong Zhao