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In this work, a predictive control framework is presented for feedback stabilization of nonlinear systems. To achieve this, we integrate Koopman operator theory with Lyapunov-based model predictive control (LMPC). The main idea is to…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Abhinav Narasingam , Joseph Sang-Il Kwon

Recently Koopman operator has become a promising data-driven tool to facilitate real-time control for unknown nonlinear systems. It maps nonlinear systems into equivalent linear systems in embedding space, ready for real-time linear control…

Robotics · Computer Science 2022-06-16 Haojie Shi , Max Q. -H. Meng

We present a centralized algorithmic framework for solving multi-robot path planning problems in general, two-dimensional, continuous environments while minimizing globally the task completion time. The framework obtains high levels of…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Daniela Rus

This paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Jin Sung Kim , Ying Shuai Quan , Chung Choo Chung

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

Robotics · Computer Science 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

Even though mobile robots have been around for decades, trajectory optimization and continuous time collision avoidance remain subject of active research. Existing methods trade off between path quality, computational complexity, and…

Robotics · Computer Science 2020-03-03 Tobias Schoels , Luigi Palmieri , Kai O. Arras , Moritz Diehl

Motivated by the application of using model predictive control (MPC) for motion planning of autonomous mobile robots, a form of output tracking MPC for non-holonomic systems and with non-convex constraints is studied. Although the…

Robotics · Computer Science 2025-10-22 Matthias Lorenzen , Teodoro Alamo , Martina Mammarella , Fabrizio Dabbene

Controlling robots that dynamically engage in contact with their environment is a pressing challenge. Whether a legged robot making-and-breaking contact with a floor, or a manipulator grasping objects, contact is everywhere. Unfortunately,…

Robotics · Computer Science 2025-11-11 Cormac O'Neill , Jasmine Terrones , H. Harry Asada

Nonlinear differential equations are encountered as models of fluid flow, spiking neurons, and many other systems of interest in the real world. Common features of these systems are that their behaviors are difficult to describe exactly and…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zexin Sun , Mingyu Chen , John Baillieul

The recent advancement in vehicular networking technology provides novel solutions for designing intelligent and sustainable vehicle motion controllers. This work addresses a car-following task, where the feedback linearisation method is…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Sheng Yu , Xiao Pan , Anastasis Georgiou , Boli Chen , Imad M. Jaimoukha , Simos A. Evangelou

In this work, we consider the problem of decentralized multi-robot target tracking and obstacle avoidance in dynamic environments. Each robot executes a local motion planning algorithm which is based on model predictive control (MPC). The…

Robotics · Computer Science 2019-09-04 Rahul Tallamraju , Sujit Rajappa , Michael Black , Kamalakar Karlapalem , Aamir Ahmad

This paper presents Residual Koopman MPC (RK-MPC), a Koopman-based, data-driven model predictive control framework for quadruped locomotion that improves prediction fidelity while preserving real-time tractability. RK-MPC augments a nominal…

Robotics · Computer Science 2026-04-09 Sriram S. K. S. Narayanan , Umesh Vaidya

We present KoopCast, a lightweight yet efficient model for trajectory forecasting in general dynamic environments. Our approach leverages Koopman operator theory, which enables a linear representation of nonlinear dynamics by lifting…

Machine Learning · Computer Science 2025-09-22 Jungjin Lee , Jaeuk Shin , Gihwan Kim , Joonho Han , Insoon Yang

Koopman operator theory offers a rigorous treatment of dynamics and has been emerging as an alternative modeling and learning-based control method across various robotics sub-domains. Due to its ability to represent nonlinear dynamics as a…

Designing a model predictive control (MPC) scheme that enables a mobile robot to safely navigate through an obstacle-filled environment is a complicated yet essential task in robotics. In this technical report, safety refers to ensuring…

Robotics · Computer Science 2025-08-12 Dennis Benders , Laura Ferranti , Johannes Köhler

Ground robots navigating in complex, dynamic environments must compute collision-free trajectories to avoid obstacles safely and efficiently. Nonconvex optimization is a popular method to compute a trajectory in real-time. However, these…

Robotics · Computer Science 2024-10-07 Oscar de Groot , Laura Ferranti , Dariu M. Gavrila , Javier Alonso-Mora

Representing and predicting high-dimensional and spatiotemporally chaotic dynamical systems remains a fundamental challenge in dynamical systems and machine learning. Although data-driven models can achieve accurate short-term forecasts,…

Machine Learning · Computer Science 2026-02-17 Liangyu Su , Jun Shu , Rui Liu , Deyu Meng , Zongben Xu

This work presents a hybrid physics-informed and data-driven modeling framework for predictive control of autonomous off-road vehicles operating on deformable terrain. Traditional high-fidelity terramechanics models are often too…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kartik Loya , Phanindra Tallapragada

This paper proposes an interaction and safety-aware motion-planning method for an autonomous vehicle in uncertain multi-vehicle traffic environments. The method integrates the ability of the interaction-aware interacting multiple model…

Systems and Control · Electrical Eng. & Systems 2023-09-14 Jian Zhou , Björn Olofsson , Erik Frisk
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