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This paper introduces the Feasibility Governor (FG): an add-on unit that enlarges the region of attraction of Model Predictive Control by manipulating the reference to ensure that the underlying optimal control problem remains feasible. The…

Optimization and Control · Mathematics 2023-10-03 Terrence Skibik , Dominic Liao-McPherson , Torbjørn Cunis , Ilya Kolmanovsky , Marco M. Nicotra

Measurements and state estimates are often imperfect in control practice, posing challenges for safety-critical applications, where safety guarantees rely on accurate state information. In the presence of estimation errors, several prior…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ersin Das , Rahal Nanayakkara , Xiao Tan , Ryan M. Bena , Joel W. Burdick , Paulo Tabuada , Aaron D. Ames

Model information can be used to predict future trajectories, so it has huge potential to avoid dangerous region when implementing reinforcement learning (RL) on real-world tasks, like autonomous driving. However, existing studies mostly…

Robotics · Computer Science 2021-03-08 Haitong Ma , Jianyu Chen , Shengbo Eben Li , Ziyu Lin , Yang Guan , Yangang Ren , Sifa Zheng

This paper studies safety and feasibility guarantees for systems with tight control bounds. It has been shown that stabilizing an affine control system while optimizing a quadratic cost and satisfying state and control constraints can be…

Optimization and Control · Mathematics 2024-09-10 Shuo Liu , Wei Xiao , Calin A. Belta

Learning-based control with safety guarantees usually requires real-time safety certification and modifications of possibly unsafe learning-based policies. The control barrier function (CBF) method uses a safety filter containing a…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

Control barrier function (CBF)-based safety filters provide a systematic way to enforce state constraints, but they can significantly alter the closed-loop dynamics induced by a nominal, stabilizing controller. In particular, the resulting…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés

Reference and command governors are add-on schemes that augment nominal closed-loop systems with the capability to enforce state and control constraints. They do this by monitoring and modifying, when necessary, the reference command.…

Optimization and Control · Mathematics 2021-11-22 Emanuele Garone , Ilya Kolmanovsky

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model and access to all…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Jinfeng Chen , Zhiqiang Gao , Qin Lin

Safety is always one of the most critical principles for a system to be controlled. This paper investigates a safety-critical control scheme for unknown structured systems by using the control barrier function (CBF) method. Benefited from…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Shengbo Wang , Bo Lyu , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang

Safety is one of the fundamental problems in robotics. Recently, one-step or multi-step optimal control problems for discrete-time nonlinear dynamical system were formulated to offer tracking stability using control Lyapunov functions…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

This paper develops a model-based reinforcement learning (MBRL) framework for learning online the value function of an infinite-horizon optimal control problem while obeying safety constraints expressed as control barrier functions (CBFs).…

Machine Learning · Computer Science 2022-11-10 Max H. Cohen , Calin Belta

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

Control Barrier Functions (CBFs) provide a powerful framework for ensuring safety in dynamical systems. However, their application typically relies on full state information, which is often violated in real-world due to the availability of…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Vaishnavi Jagabathula , Ahan Basu , Pushpak Jagtap

This paper is motivated by controllers developed for autonomous vehicles which occasionally result into conditions where safety is no longer guaranteed. We develop an exact-time safety recovery framework for any control-affine nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Yingqing Chen , Christos G. Cassandras , Wei Xiao , Anni Li

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

Control Lyapunov Functions (CLFs) and Control Barrier Functions (CBFs) can be combined, typically by means of Quadratic Programs (QPs), to design controllers that achieve performance and safety objectives. However, a significant limitation…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Hugo Matias , Daniel Silvestre

This paper presents a sampled-data framework for the safe navigation of controlled agents in environments cluttered with obstacles governed by uncertain linear dynamics. Collision-free motion is achieved by combining Control Barrier…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Hugo Matias , Daniel Silvestre

This paper investigates the control barrier function (CBF) based safety-critical control for continuous nonlinear control affine systems using the more efficient online algorithms through time-varying optimization. The idea lies in that…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Shengbo Wang , Shiping Wen , Yin Yang , Yuting Cao , Kaibo Shi , Tingwen Huang