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In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

Systems and Control · Electrical Eng. & Systems 2022-04-29 Ersin Daş , Richard M. Murray

This paper develops a novel control synthesis method for safe stabilization of control-affine systems as a Differential Complementarity Problem (DCP). Our design uses a control Lyapunov function (CLF) and a control barrier function (CBF) to…

Optimization and Control · Mathematics 2023-01-04 Yinzhuang Yi , Shumon Koga , Bogdan Gavrea , Nikolay Atanasov

Controller design for nonlinear systems with Control Lyapunov Function (CLF) based quadratic programs has recently been successfully applied to a diverse set of difficult control tasks. These existing formulations do not address the gap…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Andrew J. Taylor , Victor D. Dorobantu , Yisong Yue , Paulo Tabuada , Aaron D. Ames

In this letter, an integrated task planning and reactive motion planning framework termed Multi-FLEX is presented that targets real-world, industrial multi-robot applications. Reactive motion planning has been attractive for the purposes of…

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

Robotics · Computer Science 2022-10-04 Hongkai Dai , Frank Permenter

Safety is essential for autonomous systems, in particular for interconnected systems in which the interactions among subsystems are involved. Motivated by the recent interest in cyber-physical and interconnected autonomous systems, we…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Zhuo-Rui Pan , Wei Ren , Xi-Ming Sun

This paper considers safe control synthesis for dynamical systems with either probabilistic or worst-case uncertainty in both the dynamics model and the safety constraints. We formulate novel probabilistic and robust (worst-case) control…

Robotics · Computer Science 2022-10-04 Kehan Long , Vikas Dhiman , Melvin Leok , Jorge Cortés , Nikolay Atanasov

This paper investigates the planning and control problems for multi-robot systems under linear temporal logic (LTL) specifications. In contrast to most of existing literature, which presumes a static and known environment, our study focuses…

Robotics · Computer Science 2023-07-13 Pian Yu , Gianmarco Fedeli , Dimos V. Dimarogonas

When designing correct-by-construction controllers for autonomous collectives, three key challenges are the task specification, the modelling, and its use at practical scale. In this paper, we focus on a simple yet useful abstraction for…

Multiagent Systems · Computer Science 2024-11-22 Till Schnittka , Mario Gleirscher

We consider multi-robot systems under recurring tasks formalized as linear temporal logic (LTL) specifications. To solve the planning problem efficiently, we propose a bottom-up approach combining offline plan synthesis with online…

In many practical scenarios, multi-robot systems are envisioned to support humans in executing complicated tasks within structured environments, such as search-and-rescue tasks. We propose a framework for a multi-robot swarm to fulfill…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Shuhao Qi , Zengjie Zhang , Sofie Haesaert , Zhiyong Sun

This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

In many real-world reinforcement learning (RL) problems, besides optimizing the main objective function, an agent must concurrently avoid violating a number of constraints. In particular, besides optimizing performance it is crucial to…

Machine Learning · Computer Science 2018-05-22 Yinlam Chow , Ofir Nachum , Edgar Duenez-Guzman , Mohammad Ghavamzadeh

Deep learning has had a far reaching impact in robotics. Specifically, deep reinforcement learning algorithms have been highly effective in synthesizing neural-network controllers for a wide range of tasks. However, despite this empirical…

Robotics · Computer Science 2021-09-30 Hongkai Dai , Benoit Landry , Lujie Yang , Marco Pavone , Russ Tedrake

Koopman operator-based methods enable data-driven bilinear representations of unknown nonlinear control systems. Accurate representations often demand significantly higher dimensions than the original system, making control design…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Sami Leon Noel Aziz Hanna , Nicolas Hoischen , Sandra Hirche , Armin Lederer

We develop an algorithm for the motion and task planning of a system comprised of multiple robots and unactuated objects under tasks expressed as Linear Temporal Logic (LTL) constraints. The robots and objects evolve subject to uncertain…

Systems and Control · Electrical Eng. & Systems 2022-04-26 Christos K. Verginis , Yiannis Kantaros , Dimos V. Dimarogonas

This paper presents a novel task-priority control framework for redundant robotic systems based on a hierarchy of control Lyapunov function (CLF) and control barrier function (CBF) based quadratic programs (QPs). The proposed method…

Systems and Control · Electrical Eng. & Systems 2021-06-07 Erlend A. Basso , Kristin Y. Pettersen

Manipulation tasks can often be decomposed into multiple subtasks performed in parallel, e.g., sliding an object to a goal pose while maintaining contact with a table. Individual subtasks can be achieved by task-axis controllers defined…

Robotics · Computer Science 2020-11-17 Mohit Sharma , Jacky Liang , Jialiang Zhao , Alex LaGrassa , Oliver Kroemer

This paper presents a methodology for ensuring that the composition of multiple Control Barrier Functions (CBFs) always leads to feasible conditions on the control input, even in the presence of input constraints. In the case of a system…

Optimization and Control · Mathematics 2023-03-24 Joseph Breeden , Dimitra Panagou

Finding a control Lyapunov function (CLF) in a dynamical system with a controller is an effective way to guarantee stability, which is a crucial issue in safety-concerned applications. Recently, deep learning models representing CLFs have…

Machine Learning · Computer Science 2025-11-04 Yupu Lu , Shijie Lin , Hao Xu , Zeqing Zhang , Jia Pan