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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

This paper investigates the synthesis of robust controllers from logical specification of regular properties given in an interval temporal logic QDDC. Our specification encompasses both hard robustness and soft robustness. Here, hard…

Logic in Computer Science · Computer Science 2019-05-28 Paritosh K. Pandya , Amol Wakankar

This paper provides an introduction and overview of recent work on control barrier functions and their use to verify and enforce safety properties in the context of (optimization based) safety-critical controllers. We survey the main…

Systems and Control · Computer Science 2019-03-28 Aaron D. Ames , Samuel Coogan , Magnus Egerstedt , Gennaro Notomista , Koushil Sreenath , Paulo Tabuada

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

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 is concerned with a compositional scheme for the construction of control barrier certificates for interconnected discrete-time stochastic systems. The main objective is to synthesize switching control policies against…

Systems and Control · Electrical Eng. & Systems 2022-07-06 Mahathi Anand , Abolfazl Lavaei , Majid Zamani

Recently, barrier certificates have been introduced to prove the safety of continuous or hybrid dynamical systems. A barrier certificate needs to exhibit some barrier function, which partitions the state space in two subsets: the safe…

Dynamical Systems · Mathematics 2015-06-22 A Djaballah , Alexandre Chapoutot , Michel Kieffer , O Bouissou

The need for robust control laws is especially important in safety-critical applications. We propose robust hybrid control barrier functions as a means to synthesize control laws that ensure robust safety. Based on this notion, we formulate…

Systems and Control · Electrical Eng. & Systems 2021-05-14 Alexander Robey , Lars Lindemann , Stephen Tu , Nikolai Matni

Verifying the safety of controllers is critical for many applications, but is especially challenging for systems with bounded inputs. Backup control barrier functions (bCBFs) offer a structured approach to synthesizing safe controllers that…

Systems and Control · Electrical Eng. & Systems 2025-10-08 David E. J. van Wijk , Ersin Das , Tamas G. Molnar , Aaron D. Ames , Joel W. Burdick

An established trend in software engineering insists on using components (sometimes also called services or packages) to encapsulate a set of related functionalities or data. By defining interfaces specifying what functionalities they…

Software Engineering · Computer Science 2015-07-29 Daniel Ricardo dos Santos , Silvio Ranise , Serena Elisa Ponta

Safety is the major consideration in controlling complex dynamical systems using reinforcement learning (RL), where the safety certificate can provide provable safety guarantee. A valid safety certificate is an energy function indicating…

Machine Learning · Computer Science 2022-05-27 Haitong Ma , Changliu Liu , Shengbo Eben Li , Sifa Zheng , Jianyu Chen

A safe controller for multicopter is proposed using control barrier function. Multicopter dynamics are reformulated to deal with mixed-relative-degree and non-strict-feedback-form dynamics, and a time-varying safe backstepping controller is…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Jinrae Kim , Youdan Kim

We introduce an automated, formal, counterexample-based approach to synthesise Barrier Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The approach is underpinned by an inductive framework: this is…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Andrea Peruffo , Daniele Ahmed , Alessandro Abate

Recent advances in learning-based perception systems have led to drastic improvements in the performance of robotic systems like autonomous vehicles and surgical robots. These perception systems, however, are hard to analyze and errors in…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Shromona Ghosh , Yash Vardhan Pant , Hadi Ravanbakhsh , Sanjit A. Seshia

This paper aims at the safety-critical control synthesis of network systems such that the satisfaction of the safety constraints can be guaranteed. To handle the large state dimension of such systems, an assume-guarantee contract is used to…

Systems and Control · Electrical Eng. & Systems 2020-09-18 Yuxiao Chen , James Anderson , Karan Kalsi , Aaron D. Ames , Steven H. Low

Complex control systems are often described in a layered fashion, represented as higher-order systems where the inputs appear after a chain of integrators. While Control Barrier Functions (CBFs) have proven to be powerful tools for…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Andrew J. Taylor , Pio Ong , Tamas G. Molnar , Aaron D. Ames

This paper considers the synthesis of optimal safe controllers based on density functions. We present an algorithm for robust constrained optimal control synthesis using the duality relationship between the density function and the value…

Optimization and Control · Mathematics 2019-09-30 Yuxiao Chen , Mohamadreza Ahmadi , Aaron D. Ames

Opacity is a confidentiality property that holds when certain secret strings of a given system cannot be revealed to an outside observer under any system activity. Opacity violations stimulate the study of opacity enforcement strategies.…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Xiaoyan Li , Christoforos N. Hadjicostis , Zhiwu Li

Safety requirements in dynamical systems are commonly enforced with set invariance constraints over a safe region of the state space. Control barrier functions, which are Lyapunov-like functions for guaranteeing set invariance, are an…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohit Srinivasan , Matthew Abate , Gustav Nilsson , Samuel Coogan

This work provides formal safety guarantees for control systems with disturbance. A disturbance observer-based robust safety-critical controller is proposed, that estimates the effect of the disturbance on safety and utilizes this estimate…

Systems and Control · Electrical Eng. & Systems 2023-01-05 Anil Alan , Tamas G. Molnar , Ersin Das , Aaron D. Ames , Gabor Orosz