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If we give a robot the task of moving an object from its current position to another location in an unknown environment, the robot must explore the map, identify all types of obstacles, and then determine the best route to complete the…

Robotics · Computer Science 2022-08-22 Saeid Alirezazadeh , Luís A. Alexandre

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

Machine Learning · Computer Science 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

A path-planning algorithm for connected and non-connected automated road vehicles on multilane motorways is derived from the opportune formulation of an optimal control problem. In this framework, the objective function to be minimized…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Typaldos , Markos Papageorgiou , Ioannis Papamichail

This paper presents the results of identification of vehicle dynamics using the Koopman operator. The basic idea is to transform the state space of a nonlinear system (a car in our case) to a higher-dimensional space, using so-called basis…

Optimization and Control · Mathematics 2019-03-15 Vit Cibulka , Tomas Hanis , Martin Hromcik

The Koopman operator theory is an increasingly popular formalism of dynamical systems theory which enables analysis and prediction of the nonlinear dynamics from measurement data. Building on the recent development of the Koopman model…

Fluid Dynamics · Physics 2018-06-08 Hassan Arbabi , Milan Korda , Igor Mezic

Modeling of nonlinear behaviors with physical-based models poses challenges. However, Koopman operator maps the original nonlinear system into an infinite-dimensional linear space to achieve global linearization of the nonlinear system…

Systems and Control · Electrical Eng. & Systems 2024-05-17 Hao Chen , Xiangkun He , Shuo Cheng , Chen Lv

Model predictive control (MPC) is a powerful strategy for planning and control in autonomous mobile robot navigation. However, ensuring safety in real-world deployments remains challenging due to the presence of disturbances and measurement…

Robotics · Computer Science 2025-08-12 Dennis Benders , Johannes Köhler , Robert Babuška , Javier Alonso-Mora , Laura Ferranti

Koopman analysis of a general dynamics system provides a linear Koopman operator and an embedded eigenfunction space, enabling the application of standard techniques from linear analysis. However, in practice, deriving exact operators and…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Alexander Estornell , Leonard Jung , Alenna Spiro , Mario Sznaier , Michael Everett

As the demands of autonomous mobile robots are increasing in recent years, the requirement of the path planning/navigation algorithm should not be content with the ability to reach the target without any collisions, but also should try to…

Robotics · Computer Science 2021-10-05 Jian Zhang

Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator have proven to be successful tools for forecasting, feature learning, state estimation, and control. It has become well…

Dynamical Systems · Mathematics 2023-10-26 Samuel E. Otto , Sebastian Peitz , Clarence W. Rowley

In this paper, data-driven algorithms based on Koopman Operator Theory are applied to identify and predict the nonlinear dynamics of a vapor compression system and cabin temperature in a light-duty electric vehicle. By leveraging a…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Luca Meda , Stephanie Stockar

Online generation of collision free trajectories is of prime importance for autonomous navigation. Dynamic environments, robot motion and sensing uncertainties adds further challenges to collision avoidance systems. This paper presents an…

Robotics · Computer Science 2021-04-06 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

Autonomous Underwater Vehicles (AUVs) play an essential role in modern ocean exploration, and their speed control systems are fundamental to their efficient operation. Like many other robotic systems, AUVs exhibit multivariable nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhiliang Liu , Xin Zhao , Peng Cai , Bing Cong

In this paper, we study a navigation problem where a mobile robot needs to locate a mmWave wireless signal. Using the directionality properties of the signal, we propose an estimation and path planning algorithm that can efficiently…

Formation control of multi-agent systems has been a prominent research topic, spanning both theoretical and practical domains over the past two decades. Our study delves into the leader-follower framework, addressing two critical,…

Robotics · Computer Science 2023-08-15 Yanran Wang , Tatsuya Baba , Takashi Hikihara

Advanced autonomous driving systems require accurate vehicle dynamics modeling. However, identifying a precise dynamics model remains challenging due to strong nonlinearities and the coupled longitudinal and lateral dynamic characteristics.…

Robotics · Computer Science 2026-03-19 Jinyu Miao , Pu Zhang , Rujun Yan , Yifei He , Bowei Zhang , Zheng Fu , Ke Wang , Qi Song , Kun Jiang , Mengmeng Yang , Diange Yang

The design and analysis of optimal control policies for dynamical systems can be complicated by nonlinear dependence in the state variables. Koopman operators have been used to simplify the analysis of dynamical systems by mapping the flow…

Dynamical Systems · Mathematics 2019-08-07 Craig Bakker , Steven Rosenthal , Kathleen E. Nowak

Nonlinear dynamics bring difficulties to controller design for control-affine systems such as tractor-trailer vehicles, especially when the parameters in the dynamics are unknown. To address this constraint, we propose a derivative-based…

Systems and Control · Electrical Eng. & Systems 2024-05-15 Zehao Wang , Han Zhang , Jingchuan Wang

This work presents a novel data-driven framework for constructing eigenfunctions of the Koopman operator geared toward prediction and control. The method leverages the richness of the spectrum of the Koopman operator away from attractors to…

Optimization and Control · Mathematics 2020-05-08 Milan Korda , Igor Mezić