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This paper studies the problem of utilizing data-driven adaptive control techniques to guarantee stability and safety of uncertain nonlinear systems with high relative degree. We first introduce the notion of a High Order Robust Adaptive…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Max H. Cohen , Calin Belta

In this paper we address the problem of control Lyapunov-barrier function (CLBF)-based safe stabilization for a class of nonlinear control-affine systems. A difficulty may arise for the case when a constraint has the relative degree larger…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Haechan Pyon , Gyunghoon Park

Implementing obstacle avoidance in dynamic environments is a challenging problem for robots. Model predictive control (MPC) is a popular strategy for dealing with this type of problem, and recent work mainly uses control barrier function…

Robotics · Computer Science 2024-04-10 Zetao Lu , Kaijun Feng , Jun Xu , Haoyao Chen , Yunjiang Lou

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 presents a comprehensive approach for the safety-critical control of robotic manipulators operating in dynamic environments. Building upon the framework of Control Barrier Functions (CBFs), we extend the collision cone…

Robotics · Computer Science 2025-03-04 Lucas Almeida

Modern robotic systems are endowed with superior mobility and mechanical skills that make them suited to be employed in real-world scenarios, where interactions with heavy objects and precise manipulation capabilities are required. For…

Robotics · Computer Science 2022-03-22 Maria Vittoria Minniti , Ruben Grandia , Farbod Farshidian , Marco Hutter

Guaranteeing safety for robotic and autonomous systems in real-world environments is a challenging task that requires the mitigation of stochastic uncertainties. Control barrier functions have, in recent years, been widely used for…

Systems and Control · Electrical Eng. & Systems 2022-03-31 Andrew Singletary , Mohamadreza Ahmadi , Aaron D. Ames

We present a novel way of generating Lyapunov functions for proving linear convergence rates of first-order optimization methods. Our approach provably obtains the fastest linear convergence rate that can be verified by a quadratic Lyapunov…

Optimization and Control · Mathematics 2018-06-13 Adrien Taylor , Bryan Van Scoy , Laurent Lessard

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

Achieving safe autonomous navigation systems is critical for deploying robots in dynamic and uncertain real-world environments. In this paper, we propose a hierarchical control framework leveraging neural network verification techniques to…

Artificial Intelligence · Computer Science 2025-05-01 Luca Marzari , Francesco Trotti , Enrico Marchesini , Alessandro Farinelli

The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Ruben Grandia , Andrew J. Taylor , Andrew Singletary , Marco Hutter , Aaron D. Ames

Safety-critical whole-body robot control demands reactive methods that ensure collision avoidance in real-time. Complementarity constraints and control barrier functions (CBF) have emerged as core tools for ensuring such safety constraints,…

A Lyapunov-based method is presented for stabilizing and controlling of closed quantum systems. The proposed method is constructed upon a novel quantum Lyapunov function of the system state trajectory tracking error. A positive-definite…

Quantum Physics · Physics 2021-02-02 Elham Jamalinia , Peyman Azodi , Alireza Khayatian , Peyman Setoodeh

This paper proposes a novel approach to address the challenges of deploying complex robotic software in large-scale systems, i.e., Centralized Nonlinear Model Predictive Controllers (CNMPCs) for multi-agent systems. The proposed approach is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-13 Achilleas Santi Seisa , Sumeet Gajanan Satpute , George Nikolakopoulos

Ensuring robot safety in complex environments is a difficult task due to actuation limits, such as torque bounds. This paper presents a safety-critical control framework that leverages learning-based switching between multiple backup…

Robotics · Computer Science 2024-03-08 Neil C. Janwani , Ersin Daş , Thomas Touma , Skylar X. Wei , Tamas G. Molnar , Joel W. Burdick

We present a novel method for designing higher-order Control Barrier Functions (CBFs) that guarantee convergence to a safe set within a user-specified finite. Traditional Higher Order CBFs (HOCBFs) ensure asymptotic safety but lack…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Janani S K , Shishir Kolathaya

Executing multiple tasks concurrently is important in many robotic applications. Moreover, the prioritization of tasks is essential in applications where safety-critical tasks need to precede application-related objectives, in order to…

Robotics · Computer Science 2020-03-09 Gennaro Notomista , Siddharth Mayya , Mario Selvaggio , Maria Santos , Cristian Secchi

In advanced manufacturing, strict safety guarantees are required to allow humans and robots to work together in a shared workspace. One of the challenges in this application field is the variety and unpredictability of human behavior,…

Robotics · Computer Science 2023-08-22 Dianhao Zhang , Mien Van , Stephen Mcllvanna , Yuzhu Sun , Seán McLoone

This paper develops a new control design for guaranteeing a vehicle's safety during lane change maneuvers in a complex traffic environment. The proposed method uses a finite state machine (FSM), where a quadratic program based optimization…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Suiyi He , Jun Zeng , Bike Zhang , Koushil Sreenath

Control barrier functions (CBFs) have become a popular tool to enforce safety of a control system. CBFs are commonly utilized in a quadratic program formulation (CBF-QP) as safety-critical constraints. A class $\mathcal{K}$ function in CBFs…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath
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