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Assurance of asymptotic trajectory tracking in robotic manipulators with a smooth control law in the presence of unmodeled dynamics or external disturbance is a challenging problem. Recently, it is asserted that it is achieved via a…

Robotics · Computer Science 2022-05-17 M. Reza J. Harandi

We propose an abstract framework for solving the constrained set-point tracking problem for impedance passive infinite-dimensional nonlinear systems. The class of systems considered is governed by monotone differential inclusions and allows…

Optimization and Control · Mathematics 2025-06-18 Nicolas Vanspranghe , Pietro Lorenzetti , Lassi Paunonen , George Weiss

Reinforcement learning is an emerging approach to control dynamical systems for which classical approaches are difficult to apply. However, trained agents may not generalize against the variations of system parameters. This paper presents…

Systems and Control · Electrical Eng. & Systems 2023-11-10 Abdel Gafoor Haddad , Igor Boiko , Yahya Zweiri

This paper presents a data-driven nonlinear safe control design approach for discrete-time systems under parametric uncertainties and additive disturbances. We first characterize a new control structure from which a data-based…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Amir Modares , Bosen Lian , Hamidreza Modares

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Dongheui Lee

In this paper, we solve the problem of finding a certified control policy that drives a robot from any given initial state and under any bounded disturbance to the desired reference trajectory, with guarantees on the convergence or bounds…

Robotics · Computer Science 2020-11-26 Dawei Sun , Susmit Jha , Chuchu Fan

This paper presents an adaptive, model-based, nonlinear controller for the bicopter trajectory-tracking problem. The nonlinear controller is constructed by dynamically extending the bicopter model, stabilizing the extended dynamics using…

Dynamical Systems · Mathematics 2024-02-08 Jhon Manuel Portella Delgado , Ankit Goel

Navigating robots safely and efficiently in crowded and complex environments remains a significant challenge. However, due to the dynamic and intricate nature of these settings, planning efficient and collision-free paths for robots to…

Robotics · Computer Science 2024-10-22 Zhuanglei Wen , Mingze Dong , Xiai Chen

Unknown nonlinear dynamics can limit the performance of model-based feedforward control. The aim of this paper is to develop a feedforward control framework for systems with unknown, typically nonlinear, dynamics. To address the unknown…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Dennis Bruijnen , Jeroen van de Wijdeven , Marcel Heertjes , Tom Oomen

Being able to track an anonymous object, a model-free tracker is comprehensively applicable regardless of the target type. However, designing such a generalized framework is challenged by the lack of object-oriented prior information. As…

Computer Vision and Pattern Recognition · Computer Science 2018-12-18 Xiaolong Jiang , Peizhao Li , Xiantong Zhen , Xianbin Cao

This paper studies optimal trajectory-tracking for driftless, x-flat nonlinear systems with three states and two inputs. The tracking problem is formulated in Bolza form with a quadratic cost of the tracking error and its derivative.…

Optimization and Control · Mathematics 2026-04-07 Raphael Buchinger , Georg Hartl , Lukas Ecker , Markus Schöberl

Training sophisticated agents for optimal decision-making under uncertainty has been key to the rapid development of modern autonomous systems across fields. Notably, model-free reinforcement learning (RL) has enabled decision-making agents…

Machine Learning · Computer Science 2025-07-21 Thomas Banker , Ali Mesbah

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

Robotics · Computer Science 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

Learning predictive models from observations using deep neural networks (DNNs) is a promising new approach to many real-world planning and control problems. However, common DNNs are too unstructured for effective planning, and current…

Robotics · Computer Science 2023-12-21 Ziang Liu , Genggeng Zhou , Jeff He , Tobia Marcucci , Li Fei-Fei , Jiajun Wu , Yunzhu Li

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Safety and stability are common requirements for robotic control systems; however, designing safe, stable controllers remains difficult for nonlinear and uncertain models. We develop a model-based learning approach to synthesize robust…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Charles Dawson , Zengyi Qin , Sicun Gao , Chuchu Fan

In this paper, we present a robotic model-based reinforcement learning method that combines ideas from model identification and model predictive control. We use a feature-based representation of the dynamics that allows the dynamics model…

Machine Learning · Computer Science 2016-03-16 Christopher Xie , Sachin Patil , Teodor Moldovan , Sergey Levine , Pieter Abbeel

Recently, learning-based controllers have been shown to push mobile robotic systems to their limits and provide the robustness needed for many real-world applications. However, only classical optimization-based control frameworks offer the…

Robotics · Computer Science 2023-04-04 Leonard Bauersfeld , Elia Kaufmann , Davide Scaramuzza
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