English
Related papers

Related papers: Optimally swimming Stokesian robots

200 papers

An optimal control problem for the linear wave equation with control cost chosen as the BV semi-norm in time is analyzed. This formulation enhances piecewise constant optimal controls and penalizes the number of jumps. Existence of optimal…

Optimization and Control · Mathematics 2018-09-11 Sebastian Engel , Karl Kunisch

We investigate a self-organized swimmer at low Reynolds numbers. The microscopic swimmer is composed of three spheres that are connected by two identical active linker arms. Each linker arm contains molecular motors and elastic elements and…

Biological Physics · Physics 2009-09-30 Stefan Gunther , Karsten Kruse

A system of ferromagnetic particles trapped at a liquid-liquid interface and subjected to a set of magnetic fields (magnetocapillary swimmers) is studied numerically using a hybrid method combining the pseudopotential lattice Boltzmann…

Microswimmers, and among them aspirant microrobots, generally have to cope with flows where viscous forces are dominant, characterized by a low Reynolds number ($Re$). This implies constraints on the possible sequences of body motion, which…

Fluid Dynamics · Physics 2017-12-06 A. Djellouli , P. Marmottant , H. Djeridi , C. Quilliet , G. Coupier

Motile eukaryotic cells propel themselves in viscous fluids by passing waves of bending deformation down their flagella. An infinitely long flagellum achieves a hydrodynamically optimal low-Reynolds number locomotion when the angle between…

Biological Physics · Physics 2010-03-03 Saverio E. Spagnolie , Eric Lauga

We design new navigation strategies for travel time optimization of microscopic self-propelled particles in complex and noisy environments. In contrast to strategies relying on the results of optimal control theory, these protocols allow…

Statistical Mechanics · Physics 2022-10-05 Lorenzo Piro , Benoît Mahault , Ramin Golestanian

While undulatory swimming of elongate limbless robots has been extensively studied in open hydrodynamic environments, less research has been focused on limbless locomotion in complex, cluttered aquatic environments. Motivated by the concept…

Robotics · Computer Science 2024-09-30 Tianyu Wang , Nishanth Mankame , Matthew Fernandez , Velin Kojouharov , Daniel I. Goldman

With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent. In both the applications and theoretical study of such…

Soft Condensed Matter · Physics 2021-06-03 Clément Moreau , Kenta Ishimoto , Eamonn A. Gaffney , Benjamin J. Walker

We study the three-dimensional dynamics of a spherical microswimmer in cylindrical Poiseuille flow which can be mapped onto a Hamiltonian system. Swinging and tumbling trajectories are identified. In 2D they are equivalent to oscillating…

Soft Condensed Matter · Physics 2012-06-18 Andreas Zöttl , Holger Stark

We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view. Our analysis exploits fundamental topological properties, such as the continuous dependence of iterates on their…

Optimization and Control · Mathematics 2021-04-13 Michael Muehlebach , Michael I. Jordan

Fish schooling implies an awareness of the swimmers for their companions. In flow mediated environments, in addition to visual cues, pressure and shear sensors on the fish body are critical for providing quantitative information that…

An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The connection between swimming and control theory is attracting increasing attention in the recent literature. Starting from an idea of Alberto Bressan [7] we study the system of a planar body whose position and shape are described by a…

Mathematical Physics · Physics 2016-07-08 Marta Zoppello , Franco Cardin

With the accelerated development of robot technologies, optimal control becomes one of the central themes of research. In traditional approaches, the controller, by its internal functionality, finds appropriate actions on the basis of the…

Robotics · Computer Science 2016-06-16 Ralf Der , Georg Martius

Autonomous ocean-exploring vehicles have begun to take advantage of onboard sensor measurements of water properties such as salinity and temperature to locate oceanic features in real time. Such targeted sampling strategies enable more…

Fluid Dynamics · Physics 2024-03-19 Peter Gunnarson , John O. Dabiri

Evolutionary robotics has aimed to optimize robot control and morphology to produce better and more robust robots. Most previous research only addresses optimization of control, and does this only in simulation. We have developed a…

Robotics · Computer Science 2018-05-09 Tønnes F. Nygaard , Charles P. Martin , Jim Torresen , Kyrre Glette

The swimming of an elliptical disk at small Reynolds number is studied on the basis of a perturbative solution of the Navier-Stokes equations for fluid flow near a deformable infinite sheet. A stroke involving an elliptically polarized…

Fluid Dynamics · Physics 2016-12-21 B. U. Felderhof

In this work we developed a mathematical model and a simulation platform for a fish-inspired robotic template, namely Magnetic, Modular, Undulatory Robotics ($\mu$Bots). Through this platform, we systematically explored the effects of…

Robotics · Computer Science 2021-11-11 Donghao Li , Hankun Deng , Yagiz E. Bayiz , Bo Cheng

Active flexible filaments form the classical continuum framework for modelling the locomotion of spermatozoa and algae driven by the periodic oscillation of flagella. This framework also applies to the locomotion of various artificial…

Biological Physics · Physics 2025-10-14 John Severn , Eric Lauga

Automatically generating agile whole-body motions for legged and humanoid robots remains a fundamental challenge in robotics. While numerous trajectory optimization approaches have been proposed, there is no clear guideline on how the…

Robotics · Computer Science 2025-08-18 Evangelos Tsiatsianas , Chairi Kiourt , Konstantinos Chatzilygeroudis