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Motivated by the lack of systematic tools to obtain safe control laws for hybrid systems, we propose an optimization-based framework for learning certifiably safe control laws from data. In particular, we assume a setting in which the…

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

Control barrier functions have shown great success in addressing control problems with safety guarantees. These methods usually find the next safe control input by solving an online quadratic programming problem. However, model uncertainty…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Chuanzheng Wang , Yinan Li , Yiming Meng , Stephen L. Smith , Jun Liu

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

Reinforcement learning is a powerful technique for developing new robot behaviors. However, typical lack of safety guarantees constitutes a hurdle for its practical application on real robots. To address this issue, safe reinforcement…

Machine Learning · Computer Science 2024-04-29 Maeva Guerrier , Hassan Fouad , Giovanni Beltrame

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu

This paper proposes a robust control design method using reinforcement-learning for controlling partially-unknown dynamical systems under uncertain conditions. The method extends the optimal reinforcement-learning algorithm with a new…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Phuong D. Ngo , Fred Godtliebsen

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

This paper addresses learning safe output feedback control laws from partial observations of expert demonstrations. We assume that a model of the system dynamics and a state estimator are available along with corresponding error bounds,…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Lars Lindemann , Alexander Robey , Lejun Jiang , Satyajeet Das , Stephen Tu , Nikolai Matni

Safety in dynamic systems with prevalent uncertainties is crucial. Current robust safe controllers, designed primarily for uni-modal uncertainties, may be either overly conservative or unsafe when handling multi-modal uncertainties. To…

Robotics · Computer Science 2023-10-02 Tianhao Wei , Liqian Ma , Ravi Pandya , Changliu Liu

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

Control barrier functions are mathematical constructs used to guarantee safety for robotic systems. When integrated as constraints in a quadratic programming optimization problem, instantaneous control synthesis with real-time performance…

Robotics · Computer Science 2020-03-12 Mohit Srinivasan , Amogh Dabholkar , Samuel Coogan , Patricio Vela

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

We study the problem of safe learning and exploration in sequential control problems. The goal is to safely collect data samples from operating in an environment, in order to learn to achieve a challenging control goal (e.g., an agile…

Machine Learning · Computer Science 2020-06-30 Anqi Liu , Guanya Shi , Soon-Jo Chung , Anima Anandkumar , Yisong Yue

Barrier functions (also called certificates) have been an important tool for the verification of hybrid systems, and have also played important roles in optimization and multi-objective control. The extension of a barrier function to a…

Optimization and Control · Mathematics 2016-12-07 Xiangru Xu , Paulo Tabuada , Jessy W. Grizzle , Aaron D. Ames

Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for…

Robotics · Computer Science 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , Rahul Mangharam

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

Control tasks with safety requirements under high levels of model uncertainty are increasingly common. Machine learning techniques are frequently used to address such tasks, typically by leveraging model error bounds to specify robust…

Robotics · Computer Science 2025-06-13 Alexandre Capone , Ryan Cosner , Aaaron Ames , Sandra Hirche

Control barrier functions guarantee safety but typically require accurate system models. Parametric uncertainty invalidates these guarantees. Existing robust methods maintain safety via worst-case bounds, limiting performance, while modular…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Mohammadreza Kamaldar

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick
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