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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

In this paper, we consider a way to safely navigate the robots in unknown environments using measurement data from sensory devices. The control barrier function (CBF) is one of the promising approaches to encode safety requirements of the…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Wataru Hashimoto , Kazumune Hashimoto , Akifumi Wachi , Xun Shen , Masako Kishida , Shigemasa Takai

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

Safety filters based on control barrier functions (CBFs) have become a popular method to guarantee safety for uncertified control policies, e.g., as resulting from reinforcement learning. Here, safety is defined as staying in a pre-defined…

Systems and Control · Electrical Eng. & Systems 2024-04-19 Lukas Brunke , Siqi Zhou , Mingxuan Che , Angela P. Schoellig

With the increasing complexity of real-world systems and varying environmental uncertainties, it is difficult to build an accurate dynamic model, which poses challenges especially for safety-critical control. In this paper, a learning-based…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Sihua Zhang , Di-Hua Zhai , Xiaobing Dai , Tzu-yuan Huang , Yuanqing Xia , Sandra Hirche

Safe control with guarantees generally requires the system model to be known. It is far more challenging to handle systems with uncertain parameters. In this paper, we propose a generic algorithm that can synthesize and verify safe…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Simin Liu , Kai S. Yun , John M. Dolan , Changliu Liu

In emerging control applications involving multiple and complex tasks, safety filters are gaining prominence as a modular approach to enforcing safety constraints. Among various methods, control barrier functions (CBFs) are widely used for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Jason J. Choi , Claire J. Tomlin , Shankar Sastry , Koushil Sreenath

This letter presents a closed-form solution of Control Barrier Function (CBF) framework for enforcing safety constraints on a Stewart robotic platform. The proposed method simultaneously handles multiple position and velocity constraints…

It has been shown that optimizing quadratic costs while stabilizing affine control systems to desired (sets of) states subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) by using Control…

Optimization and Control · Mathematics 2023-03-17 Wei Xiao , Christos G. Cassandras , Calin A. Belta

The synthesis of Control Barrier Functions (CBFs) often involves demanding computations or a meticulous construction. However, structural properties of the system dynamics and constraints have the potential to mitigate these challenges. In…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Adrian Wiltz , Dimos V. Dimarogonas

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

This paper studies safety and feasibility guarantees for systems with tight control bounds. It has been shown that stabilizing an affine control system while optimizing a quadratic cost and satisfying state and control constraints can be…

Optimization and Control · Mathematics 2024-09-10 Shuo Liu , Wei Xiao , Calin A. Belta

We present verifiable conditions for synthesizing a single smooth Lyapunov function that certifies both asymptotic stability and safety under bounded controls. These sufficient conditions ensure the strict compatibility of a control barrier…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Jun Liu

Learning-based controllers, such as neural network (NN) controllers, can show high empirical performance but lack formal safety guarantees. To address this issue, control barrier functions (CBFs) have been applied as a safety filter to…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Shuo Yang , Shaoru Chen , Victor M. Preciado , Rahul Mangharam

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

This work presents a theoretical framework for the safety-critical control of time delay systems. The theory of control barrier functions, that provides formal safety guarantees for delay-free systems, is extended to systems with state…

Systems and Control · Electrical Eng. & Systems 2022-06-20 Adam K. Kiss , Tamas G. Molnar , Aaron D. Ames , Gabor Orosz

This paper investigates the design of a subclass of time-varying Control Barrier Functions (CBFs), specifically that of uniformly time-varying CBFs. Leveraging the fact that CBFs encode a system's dynamic capabilities relative to a state…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Adrian Wiltz , Dimos V. Dimarogonas

We propose a unified framework to fast generate a safe optimal control action for a new task from existing controllers on Multi-Agent Systems (MASs). The control action composition is achieved by taking a weighted mixture of the existing…

Systems and Control · Electrical Eng. & Systems 2021-09-22 Lin Song , Neng Wan , Aditya Gahlawat , Chuyuan Tao , Naira Hovakimyan , Evangelos A. Theodorou

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

It has been shown that satisfying state and control constraints while optimizing quadratic costs subject to desired (sets of) state convergence for affine control systems can be reduced to a sequence of quadratic programs (QPs) by using…

Optimization and Control · Mathematics 2020-11-18 Wei Xiao , Calin Belta , Christos G. Cassandras