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Safety is one of the fundamental problems in robotics. Recently, a quadratic program-based control barrier function (CBF) method has emerged as a way to enforce safety-critical constraints. Together with control Lyapunov function (CLF), it…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

This paper studies safety guarantees for systems with time-varying control bounds. It has been shown that optimizing quadratic costs subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) using…

Optimization and Control · Mathematics 2024-04-22 Shuo Liu , Wei Xiao , Calin A. Belta

Adaptive Control Lyapunov Functions (aCLFs) were introduced 20 years ago, and provided a Lyapunov-based methodology for stabilizing systems with parameter uncertainty. The goal of this paper is to revisit this classic formulation in the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Andrew J. Taylor , Aaron D. Ames

Ensuring safety in the sense of constraint satisfaction for learning-based control is a critical challenge, especially in the model-free case. While safety filters address this challenge in the model-based setting by modifying unsafe…

Systems and Control · Electrical Eng. & Systems 2026-01-15 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

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

Learning-based control approaches have shown great promise in performing complex tasks directly from high-dimensional perception data for real robotic systems. Nonetheless, the learned controllers can behave unexpectedly if the trajectories…

Robotics · Computer Science 2023-01-31 Fernando Castañeda , Haruki Nishimura , Rowan McAllister , Koushil Sreenath , Adrien Gaidon

This paper studies the efficient implementation of safety filters that are designed using control barrier functions (CBFs), which minimally modify a nominal controller to render it safe with respect to a prescribed set of states. Although…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Pol Mestres , Shima Sadat Mousavi , Pio Ong , Lizhi Yang , Ersin Das , Joel W. Burdick , Aaron D. Ames

Inter-robot collisions pose a significant safety risk when multiple robotic arms operate in close proximity. We present an online collision avoidance methodology leveraging High-Order Control Barrier Functions (HOCBFs) constructed for safe…

Robotics · Computer Science 2025-12-01 Ali Umut Kaypak , Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

Robotics · Computer Science 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

Control barrier functions (CBFs) have a well-established theory in Euclidean spaces, yet still lack general formulations and constructive synthesis tools for systems evolving on manifolds common in robotics and aerospace applications. In…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Massimiliano de Sa , Pio Ong , Aaron D. Ames

In this paper, we propose a method to avoid "no-solution" situations of the control barrier function (CBF) for distributed collision avoidance in a multiagent autonomous robotic system (MARS). MARS, which is composed of distributed…

Robotics · Computer Science 2023-11-14 Hiroki Etchu , Yuki Origane , Daisuke Kurabayashi

The demand for clean energy is ever increasing, with new nuclear technologies presenting a complementary solution to renewable energies. However, designing and operating these systems is exceptionally difficult, given the complexity of the…

Control barrier functions (CBFs) provide a theoretical foundation for safety-critical control in robotic systems. However, most existing methods rely on explicit analytical expressions of unsafe state regions, which are often impractical…

Robotics · Computer Science 2026-02-10 Songqiao Hu , Zidong Wang , Zeyi Liu , Zhen Shen , Xiao He

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

Cooperative transport and manipulation of heavy or bulky payloads by multiple manipulators requires coordinated formation tracking, while simultaneously enforcing strict safety constraints in varying environments with limited communication…

Robotics · Computer Science 2026-03-09 Simiao Zhuang , Bingkun Huang , Zewen Yang

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

The problem of safely learning and controlling a dynamical system - i.e., of stabilizing an originally (partially) unknown system while ensuring that it does not leave a prescribed 'safe set' - has recently received tremendous attention in…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Jafar Abbaszadeh Chekan , Cedric Langbort

We consider the problem of designing distributed collision-avoidance multi-agent control in large-scale environments with potentially moving obstacles, where a large number of agents are required to maintain safety using only local…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Songyuan Zhang , Kunal Garg , Chuchu Fan

As modern systems become ever more connected with complex dynamic coupling relationships, developing safe control methods becomes paramount. In this paper, we discuss the relationship of node-level safety definitions for individual agents…

Optimization and Control · Mathematics 2024-07-16 Brooks A. Butler , Philip E. Paré