Closed-loop 3D path following of scaled-up helical microswimmers

This paper addresses the problem of 3D path following of magnetic helical microswimmers in closed-loop. An error kinematic model in a local frame with sideslip and attack angles is used to express the motion of the helical microswimmer. A new derivation of the chained form with three inputs and five states is used to linearize the kinematic model in order to design a decoupled stable control. In experimentation, the 3D path following is validated using a scaled-up magnetic helical microswimmer with visual servo control by following first a spatial straight line, then a helix trajectory and finally an inclined sinusoidal trajectory. The closed-loop control is also compared with the open-loop control to illustrate the robustness and the accuracy of both controllers to the disturbances.

[1]  Nicolas Andreff,et al.  Modeling and Swimming Property Characterizations of Scaled-Up Helical Microswimmers , 2014, IEEE/ASME Transactions on Mechatronics.

[2]  Bradley J. Nelson,et al.  Non-ideal swimming of artificial bacterial flagella near a surface , 2010, 2010 IEEE International Conference on Robotics and Automation.

[3]  Krzysztof K. Krawczyk,et al.  Magnetic Helical Micromachines: Fabrication, Controlled Swimming, and Cargo Transport , 2012, Advanced materials.

[4]  E. Purcell.  Life at Low Reynolds Number , 2008 .

[5]  F. Qiu,et al.  Magnetic Helical Micro- and Nanorobots: Toward Their Biomedical Applications , 2015 .

[6]  Linda Bushnell,et al.  Steering Three-Input Chained Form Nonholonomic Systems Using Sinusoids: The Fire Truck Example , 1993 .

[7]  S. Shankar Sastry,et al.  Steering Three-Input Nonholonomic Systems: The Fire Truck Example , 1995, Int. J. Robotics Res..

[8]  P. Encarnacao,et al.  3D path following for autonomous underwater vehicle , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[9]  Nicolas Andreff,et al.  Characterization of three-dimensional steering for helical swimmers , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[10]  Nicolas Andreff,et al.  Planar Path Following of 3-D Steering Scaled-Up Helical Microswimmers , 2015, IEEE Transactions on Robotics.

[11]  Bradley J. Nelson,et al.  Magnetic Helical Microswimmers Functionalized with Lipoplexes for Targeted Gene Delivery , 2015 .

[12]  G. Rangarajan,et al.  Velocity Fluctuations in Helical Propulsion: How Small Can a Propeller Be. , 2014, The journal of physical chemistry letters.

[13]  C. Samson.  Control of chained systems application to path following and time-varying point-stabilization of mobile robots , 1995, IEEE Trans. Autom. Control..

[14]  João P. Hespanha,et al.  Trajectory-Tracking and Path-Following of Underactuated Autonomous Vehicles With Parametric Modeling Uncertainty , 2007, IEEE Transactions on Automatic Control.

[15]  Linda Bushnell,et al.  Stabilization of multiple input chained form control systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[16]  Jake J. Abbott,et al.  Velocity Control with Gravity Compensation for Magnetic Helical Microswimmers , 2011, Adv. Robotics.

[17]  Pedro Encarnação,et al.  Moving path following for autonomous robotic vehicles , 2013, 2013 European Control Conference (ECC).