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In this paper, we focus on non-conservative collision avoidance between robots and obstacles with control affine dynamics and convex shapes. System safety is defined using the minimum distance between the safe regions associated with robots…

Robotics · Computer Science 2025-02-05 Akshay Thirugnanam , Jun Zeng , Koushil Sreenath

Collision avoidance for robotic manipulators requires enforcing full-body safety constraints in high-dimensional configuration spaces. Control Barrier Function (CBF) based safety filters have proven effective in enabling safe behaviors, but…

Robotics · Computer Science 2026-04-24 Meg Wilkinson , Gilbert Bahati , Ryan M. Bena , Emily Fourney , Joel W. Burdick , Aaron D. Ames

In this paper, the safety-critical control problem for uncertain systems under multiple control barrier function (CBF) constraints and input constraints is investigated. A novel framework is proposed to generate a safety filter that…

Systems and Control · Electrical Eng. & Systems 2025-03-21 Jinyang Dong , Shizhen Wu , Rui Liu , Xiao Liang , Biao Lu , Yongchun Fang

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

Safety is one of the most important properties of control systems. Sensor faults and attacks and actuator failures may cause errors in the sensor measurements and system dynamics, which leads to erroneous control inputs and hence safety…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Hongchao Zhang , Zhouchi Li , Andrew Clark

We present a closed-form optimal control that satisfies both safety constraints (i.e., state constraints) and input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). This main contribution…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Pedram Rabiee , Jesse B. Hoagg

Safety-critical whole-body robot control demands reactive methods that ensure collision avoidance in real-time. Complementarity constraints and control barrier functions (CBF) have emerged as core tools for ensuring such safety constraints,…

Safely navigating around obstacles while respecting the dynamics, control, and geometry of the underlying system is a key challenge in robotics. Control Barrier Functions (CBFs) generate safe control policies by considering system dynamics…

Robotics · Computer Science 2025-09-16 Yi-Hsuan Chen , Shuo Liu , Wei Xiao , Calin Belta , Michael Otte

For a broad class of nonlinear systems, we formulate the problem of guaranteeing safety with optimality under constraints. Specifically, we define controlled safety for differential inclusions with constraints on the states and the inputs.…

Optimization and Control · Mathematics 2022-11-24 Masoumeh Ghanbarpour , Axton Isaly , Ricardo G. Sanfelice , Warren E. Dixon

Researchers have developed various cascaded controllers and non-cascaded controllers for the navigation and control of quadrotors in recent years. It is vital to ensure the safety of a quadrotor both in normal state and in abnormal state if…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Weifeng Zeng , Huanhui Cao , Wenjie Lu , Hao Xiong

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

Machine Learning · Statistics 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

This paper studies the problem of safe control of sampled-data systems under bounded disturbance and measurement errors with piecewise-constant controllers. To achieve this, we first propose the High-Order Doubly Robust Control Barrier…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Pradeep Sharma Oruganti , Parinaz Naghizadeh , Qadeer Ahmed

In the field of control engineering, the connection between Signal Temporal Logic (STL) and time-varying Control Barrier Functions (CBF) has attracted considerable attention. CBFs have demonstrated notable success in ensuring the safety of…

Robotics · Computer Science 2024-04-02 Andrea Ruo , Lorenzo Sabattini , Valeria Villani

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

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

We study the problem of synthesizing non-smooth control barrier functions (CBFs) for continuous-time switched affine systems. Switched affine systems are defined by a set of affine dynamical modes, wherein the control consists of a…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Sara Kamali , Guillaume O. Berger , Sriram Sankaranarayanan

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

We consider the problem of synthesis of safe controllers for nonlinear systems with unknown dynamics using Control Barrier Functions (CBF). We utilize Koopman operator theory (KOT) to associate the (unknown) nonlinear system with a higher…

Systems and Control · Electrical Eng. & Systems 2022-09-19 Vrushabh Zinage , Efstathios Bakolas

Safe autonomy is a critical requirement and a key enabler for robots to operate safely in unstructured complex environments. Control barrier functions and safe motion corridors are two widely used but technically distinct safety methods,…

Robotics · Computer Science 2026-03-09 Ömür Arslan , Nikolay Atanasov

Among the promising approaches to enforce safety in control systems, learning Control Barrier Functions (CBFs) from expert demonstrations has emerged as an effective strategy. However, a critical challenge remains: verifying that the…

Robotics · Computer Science 2025-07-22 Sumeadh MS , Kevin Dsouza , Ravi Prakash