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This paper addresses the synthesis of safety-critical controllers using estimate feedback. We propose an observer-controller interconnection to ensure that the nonlinear system remains safe despite bounded disturbances on the system…

Robotics · Computer Science 2022-11-29 Devansh R. Agrawal , Dimitra Panagou

Control systems operating in the real world face countless sources of unpredictable uncertainties. These random disturbances can render deterministic guarantees inapplicable and cause catastrophic safety failures. To overcome this, this…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Pol Mestres , Blake Werner , Ryan K. Cosner , Aaron D. Ames

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

This paper presents a novel approach for synthesizing control barrier functions (CBFs) from high relative degree safety constraints: Rectified CBFs (ReCBFs). We begin by discussing the limitations of existing High-Order CBF approaches and…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Pio Ong , Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

This paper studies the problem of enforcing safety of a stochastic dynamical system over a finite-time horizon. We use stochastic control barrier functions as a means to quantify the probability that a system exits a given safe region of…

Systems and Control · Electrical Eng. & Systems 2019-09-12 Cesar Santoyo , Maxence Dutreix , Samuel Coogan

This manuscript presents a control barrier function based approach to shared control for preventing a vehicle from entering the part of the state space where it is unrecoverable. The maximal phase recoverable ellipse is presented as a safe…

Systems and Control · Electrical Eng. & Systems 2025-09-03 James Dallas , John Talbot , Makoto Suminaka , Michael Thompson , Thomas Lew , Gabor Orosz , John Subosits

We introduce a hybrid (discrete--continuous) safety controller which enforces strict state and input constraints on a system---but only acts when necessary, preserving transparent operation of the original system within some safe region of…

Optimization and Control · Mathematics 2019-11-22 Gray C. Thomas , Binghan He , Luis Sentis

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

Robotics · Computer Science 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

Quadcopters have been studied for decades thanks to their maneuverability and capability of operating in a variety of circumstances. However, quadcopters suffer from dynamical nonlinearity, actuator saturation, as well as sensor noise that…

Robotics · Computer Science 2024-06-19 Truong-Dong Do , Nguyen Xuan Mung , Sung Kyung Hong

Safety control of dynamical systems using barrier functions relies on knowing the full state information. This paper introduces a novel approach for safety control in uncertain MIMO systems with partial state information. The proposed…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Binghan He , Takashi Tanaka

We develop a control algorithm that ensures the safety, in terms of confinement in a set, of a system with unknown, 2nd-order nonlinear dynamics. The algorithm establishes novel connections between data-driven and robust, nonlinear control.…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Christos K. Verginis , Franck Djeumou , Ufuk Topcu

This paper presents a formal framework for collision avoidance in multi-robot systems, wherein an existing controller is modified in a minimally invasive fashion to ensure safety. We build this framework through the use of control barrier…

Robotics · Computer Science 2016-09-05 Li Wang , Aaron Ames , Magnus Egerstedt

This paper presents a framework for the safety-critical control of robotic systems, when safety is defined on safe regions in the configuration space. To maintain safety, we synthesize a safe velocity based on control barrier function…

Robotics · Computer Science 2022-11-21 Tamas G. Molnar , Ryan K. Cosner , Andrew W. Singletary , Wyatt Ubellacker , Aaron D. Ames

Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

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

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

In this paper, we present a novel cascade control structure with formal guarantees of uniform almost global asymptotic stability for the state tracking error dynamics of a quadcopter. The proposed approach features a model predictive…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Maedeh Izadi , A. T. J. R. Cobbenhagen , Ruben Sommer , A. R. P. Andriën , Erjen Lefeber , W. P. M. H. Heemels

We consider the problem of adaptive control of a class of feedback linearizable plants with matched parametric uncertainties whose states are accessible, subject to state constraints, which often arise due to safety considerations. In this…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Peter A. Fisher , Johannes Autenrieb , Anuradha M. Annaswamy

While learning-based control techniques often outperform classical controller designs, safety requirements limit the acceptance of such methods in many applications. Recent developments address this issue through so-called predictive safety…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Kim P. Wabersich , Melanie N. Zeilinger

This paper proposes a distributed controller synthesis framework for safe navigation of multi-agent systems. We leverage control barrier functions to formulate collision avoidance with obstacles and teammates as constraints on the control…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Pol Mestres , Carlos Nieto-Granda , Jorge Cortés