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Controlling soft robots with precision is a challenge due in large part to the difficulty of constructing models that are amenable to model-based control design techniques. Koopman Operator Theory offers a way to construct explicit linear…

Robotics · Computer Science 2019-07-02 Daniel Bruder , Brent Gillespie , C. David Remy , Ram Vasudevan

Soft continuum robots can allow for biocompatible yet compliant motions, such as the ability of octopus arms to swim, crawl, and manipulate objects. However, current state-of-the-art continuum robots can only achieve real-time task-space…

Robotics · Computer Science 2025-09-16 Eron Ristich , Jiahe Wang , Lei Zhang , Sultan Haidar Ali , Wanxin Jin , Yi Ren , Jiefeng Sun

Soft robots are challenging to model and control as inherent non-linearities (e.g., elasticity and deformation), often requires complex explicit physics-based analytical modeling (e.g., a priori geometric definitions). While machine…

Robotics · Computer Science 2022-10-17 Naoto Komeno , Brendan Michael , Katharina Küchler , Edgar Anarossi , Takamitsu Matsubara

This paper presents a data-driven control framework for quadrotor systems that integrates a deep Koopman operator with model predictive control (DK-MPC). The deep Koopman operator is trained on sampled flight data to construct a…

Robotics · Computer Science 2025-08-20 Haitham El-Hussieny

Dynamic control of soft continuum robots (SCRs) holds great potential for expanding their applications, but remains a challenging problem due to the high computational demands of accurate dynamic models. While data-driven approaches like…

Robotics · Computer Science 2026-01-16 Johann Licher , Max Bartholdt , Henrik Krauss , Tim-Lukas Habich , Thomas Seel , Moritz Schappler

Nonlinearity in dynamics has long been a major challenge in robotics, often causing significant performance degradation in existing control algorithms. For example, the navigation of bipedal robots can exhibit nonlinear behaviors even under…

Robotics · Computer Science 2026-03-10 Jeonghwan Kim , Yunhai Han , Harish Ravichandar , Sehoon Ha

Controlling soft continuum manipulator arms is difficult due to their infinite degrees of freedom, nonlinear material properties, and large deflections under loading. This paper presents a data-driven approach to identifying soft…

Robotics · Computer Science 2020-02-05 Daniel Bruder , Xun Fu , R. Brent Gillespie , C. David Remy , Ram Vasudevan

The Piecewise Constant Curvature (PCC) model is the most widely used soft robotic modeling and control. However, the PCC fails to accurately describe the deformation of the soft robots when executing dynamic tasks or interacting with the…

Robotics · Computer Science 2022-03-22 Zhanchi Wang , Gaotian Wang , Xiaoping Chen , Nikolaos M. Freris

Purpose of review: We review recent advances in algorithmic development and validation for modeling and control of soft robots leveraging the Koopman operator theory. Recent findings: We identify the following trends in recent research…

Robotics · Computer Science 2023-02-09 Lu Shi , Zhichao Liu , Konstantinos Karydis

Fluidically actuated soft robots have promising capabilities such as inherent compliance and user safety. The control of soft robots needs to properly handle nonlinear actuation dynamics, motion constraints, workspace limitations, and…

Robotics · Computer Science 2023-01-02 Filippo A. Spinelli , Robert K. Katzschmann

Autonomous driving has attracted lots of attention in recent years. An accurate vehicle dynamics is important for autonomous driving techniques, e.g. trajectory prediction, motion planning, and control of trajectory tracking. Although…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Yongqian Xiao

The highly nonlinear dynamics of vehicles present a major challenge for the practical implementation of optimal and Model Predictive Control (MPC) approaches in path planning and following. Koopman operator theory offers a global linear…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Mohammad Abtahi , Mahdis Rabbani , Armin Abdolmohammadi , Shima Nazari

Approximating nonlinear systems as linear ones is a common workaround to apply control tools tailored for linear systems. This motivates our present work where we developed a data-driven model predictive controller (MPC) based on the…

Systems and Control · Electrical Eng. & Systems 2025-07-04 Adriano del Río , Christoph Stoeffler

The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model…

Robotics · Computer Science 2025-06-04 Feihan Li , Abulikemu Abuduweili , Yifan Sun , Rui Chen , Weiye Zhao , Changliu Liu

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

Robotics · Computer Science 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe

Soft robots promise improved safety and capability over rigid robots when deployed in complex, delicate, and dynamic environments. However, the infinite degrees of freedom and highly nonlinear dynamics of these systems severely complicate…

Robotics · Computer Science 2020-11-17 David A. Haggerty , Michael J. Banks , Patrick C. Curtis , Igor Mezić , Elliot W. Hawkes

Dynamic control of a soft-body robot to deliver complex behaviors with low-dimensional actuation inputs is challenging. In this paper, we present a computational approach to automatically generate versatile, underactuated control policies…

Robotics · Computer Science 2020-12-02 Yitong Deng , Yaorui Zhang , Xingzhe He , Shuqi Yang , Yunjin Tong , Michael Zhang , Daniel DiPietro , Bo Zhu

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

In spite of recent progress, soft robotics still suffers from a lack of unified modeling framework. Nowadays, the most adopted model for the design and control of soft robots is the piece-wise constant curvature model, with its consolidated…

Robotics · Computer Science 2018-10-25 Federico Renda , Frederic Boyer , Jorge Dias , Lakmal Seneviratne

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
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