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Ensuring the safety of control systems often requires the satisfaction of constraints on states (such as position or velocity), control inputs (such as force), and a mixture of states and inputs (such as power that depends on both velocity…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Laszlo Gacsi , Adam K. Kiss , Ersin Das , Tamas G. Molnar

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Jixian Liu , Enrique Mallada

This paper presents a safe controller synthesis of discrete-time stochastic systems using Control Barrier Functions (CBFs). The proposed condition allows the design of a safe controller synthesis that ensures system safety while avoiding…

Systems and Control · Electrical Eng. & Systems 2025-01-17 Sotaro Fushimi , Kenta Hoshino , Yuki Nishimura

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

This paper studies the performance and resilience of a linear cyber-physical control system (CPCS) with attack detection and reactive attack mitigation in the context of power grids. It addresses the problem of deriving an optimal sequence…

Cryptography and Security · Computer Science 2019-04-23 Subhash Lakshminarayana , Jabir Shabbir Karachiwala , Teo Zhan Teng , Rui Tan , David K. Y. Yau

Stochastic control barrier functions (SCBFs) provide a safety-critical control framework for systems subject to stochastic disturbances by bounding the probability of remaining within a safe set. However, synthesizing a valid SCBF that…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Inkyu Jang , Chams E. Mballo , Claire J. Tomlin , H. Jin Kim

Safety is a fundamental requirement of many robotic systems. Control barrier function (CBF)-based approaches have been proposed to guarantee the safety of robotic systems. However, the effectiveness of these approaches highly relies on the…

Robotics · Computer Science 2024-03-01 Hongchao Zhang , Luyao Niu , Andrew Clark , Radha Poovendran

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 paper investigates the safety analysis and verification of nonlinear systems subject to high-relative-degree constraints and unknown disturbance. The closed-form solution of the high-order control barrier functions (HOCBF) optimization…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Yan Wei , Yu Feng , Linlin Ou , Yueying Wang , Xinyi Yu

Reinforcement Learning (RL) algorithms have found limited success beyond simulated applications, and one main reason is the absence of safety guarantees during the learning process. Real world systems would realistically fail or break…

Machine Learning · Computer Science 2019-03-22 Richard Cheng , Gabor Orosz , Richard M. Murray , Joel W. Burdick

Cyber-physical systems (CPS) are required to operate safely under fault and malicious attacks. The simplex architecture and the recently proposed cyber resilient architectures, e.g., Byzantine fault tolerant++ (BFT++), provide safety for…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Luyao Niu , Abdullah Al Maruf , Andrew Clark , J. Sukarno Mertoguno , Radha Poovendran

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

Control Barrier Functions (CBFs) are a practical approach for designing safety-critical controllers, but constructing them for arbitrary nonlinear dynamical systems remains a challenge. Recent efforts have explored learning-based methods,…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

Control Barrier Functions (CBF) have provided a very versatile framework for the synthesis of safe control architectures for a wide class of nonlinear dynamical systems. Typically, CBF-based synthesis approaches apply to systems that…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Shuo Yang , Mitchell Black , Georgios Fainekos , Bardh Hoxha , Hideki Okamoto , Rahul Mangharam

The safety of training task policies and their subsequent application using reinforcement learning (RL) methods has become a focal point in the field of safe RL. A central challenge in this area remains the establishment of theoretical…

Robotics · Computer Science 2025-05-02 Chenggang Wang , Xinyi Wang , Yutong Dong , Lei Song , Xinping Guan

A predictive control barrier function (PCBF) based safety filter is a modular framework to verify safety of a control input by predicting a future trajectory. The approach relies on the solution of two optimization problems, first computing…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Alexandre Didier , Robin C. Jacobs , Jerome Sieber , Kim P. Wabersich , Melanie N. Zeilinger

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

This paper presents a safe robust policy iteration (SR-PI) algorithm to design controllers with satisficing (good enough) performance and safety guarantee. This is in contrast to standard PI-based control design methods with no safety…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Yuzhen Han , Hamidreza Modares

Safety filters based on Control Barrier Functions (CBFs) have emerged as a practical tool for the safety-critical control of autonomous systems. These approaches encode safety through a value function and enforce safety by imposing a…

Robotics · Computer Science 2022-08-23 Sander Tonkens , Sylvia Herbert

Correct-by-construction techniques, such as control barrier functions (CBFs), can be used to guarantee closed-loop safety by acting as a supervisor of an existing or legacy controller. However, supervisory-control intervention typically…

Systems and Control · Computer Science 2018-05-03 Yuxiao Chen , Ayonga Hereid , Huei Peng , Jessy Grizzle