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Dynamic Modeling and Optimal Control of a Novel Microswimmer with Gimbal Based Disks

Published online by Cambridge University Press:  08 January 2021

Ali Nickandish and
Hossein Nejat PishkenariOpen the ORCID record for Hossein Nejat Pishkenari[Opens in a new window]
Ali Nickandish
Affiliation:
Nano Robotics Laboratory, Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
Hossein Nejat Pishkenari*
Affiliation:
Nano Robotics Laboratory, Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran
*
*Corresponding author. E-mail: nejat@sharif.edu
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Summary

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We have introduced a new low-Reynolds-number microrobot with high 3D maneuverability. Our novel proposed microrobot has a higher rank of the controllability matrix with respect to the previous microswimmers which makes it capable of performing complex motions in space. In this study, governing equations of the microswimmer’s motion have been derived and simulated. Subsequently, we have proposed a cascade optimal control technique to control the swimmer trajectory. In the proposed control scheme, the actuation is provided in a way that an exponential stability on the system trajectory error as well as minimum fluctuations of control signals are achieved.

Keywords

Low-Reynolds-number swimmerMicroswimmerDynamic modelingMicrorobotControl

Information

Type
Article
Information
Robotica , Volume 39 , Issue 8 , August 2021, pp. 1468 - 1484
Copyright
© The Author(s), 2021. Published by Cambridge University Press

References

Mahdy, D., Reda, R., Hamdi, N. and Khalil, I. S., “Ultrasound-guided minimally invasive grinding for clearing blood clots: Promises and challenges,” IEEE Instrum. Meas. Mag. 21(2), 10–14 (2018).CrossRefGoogle Scholar
Medina-Saìnchez, M., Schwarz, L., Meyer, A. K., Hebenstreit, F. and Schmidt, O. G., “Cellular cargo delivery: Toward assisted fertilization by sperm-carrying micromotors,” Nano Lett. 16(1), 555–561 (2015).CrossRefGoogle Scholar
Nelson, B. J., Kaliakatsos, I. K. and Abbott, J. J., “Microrobots for minimally invasive medicine,” Ann. Rev. Biomed. Eng. 12(1), 55–85 (2010).CrossRefGoogle ScholarPubMed
Purcell, E. M., “Life at low Reynolds number,” Am. J. Phys. 45(1), 3–11 (1977).CrossRefGoogle Scholar
Lauga, E. and Powers, T. R., “The hydrodynamics of swimming microorganisms,” Rep. Prog. Phys. 72(9), 096601 (2009).CrossRefGoogle Scholar
Najafi, A. and Golestanian, R., “Simple swimmer at low Reynolds number: Three linked spheres,” Phys. Rev. E 69(6), 062901 (2004).CrossRefGoogle ScholarPubMed
Golestanian, R. and Ajdari, A., “Analytic results for the three-sphere swimmer at low Reynolds number,” Phys. Rev. E 77(3), 036308 (2008).CrossRefGoogle ScholarPubMed
Alexander, G., Pooley, C. and Yeomans, J., “Hydrodynamics of linked sphere model swimmers,” J. Phys. Condens. Matter 21(20), 204108 (2009).CrossRefGoogle ScholarPubMed
Rizvi, M. S., Farutin, A. and Misbah, C., “Three-bead steering microswimmers,” Phys. Rev. E 97(2), 023102 (2018).CrossRefGoogle ScholarPubMed
Avron, J., Kenneth, O. and Oaknin, D., “Pushmepullyou: An efficient micro-swimmer,” New J. Phys. 7(1), 234 (2005).CrossRefGoogle Scholar
Libersa, C., Arsicault, M., Gazeau, J.-P. and Lallemand, J.-P., “A peculiar flip-flop actuator for an in-pipe microrobot,” Robotica 22(5), 547–561 (2004).CrossRefGoogle Scholar
Jalali, M. A., Alam, M.-R. and Mousavi, S., “Versatile low-Reynolds-number swimmer with three-dimensional maneuverability,” Phys. Rev. E 90(5), 053006 (2014).CrossRefGoogle ScholarPubMed
Ota, Y., Hosaka, Y., Yasuda, K. and Komura, S., “Three-disk microswimmer in a supported fluid membrane,” Phys. Rev. E 97(5), 052612 (2018).CrossRefGoogle Scholar
Paxton, W. F., Kistler, K. C., Olmeda, C. C., Sen, A., Angelo, S. K. St., Cao, Y., Mallouk, T. E., Lammert, P. E. and Crespi, V. H., “Catalytic nanomotors: Autonomous movement of striped nanorods,” J. Am. Chem. Soc. 126(41), 13424–13431 (2004).CrossRefGoogle Scholar
Sanchez, S., Solovev, A. A., Schulze, S. and Schmidt, O. G., “Controlled manipulation of multiple cells using catalytic microbots,” Chem. Commun. 47(2), 698–700 (2011).CrossRefGoogle ScholarPubMed
Peyer, K. E., Zhang, L. and Nelson, B. J., “Bio-inspired magnetic swimming microrobots for biomedical applications,” Nanoscale 5(4), 1259–1272 (2013).CrossRefGoogle ScholarPubMed
Li, Z., Chen, J. and Feng, J., “Design of an omni-directional mobile microrobot (OMMR-I) for a micro-factory with 2 mm electromagnetic micromotors,” Robotica 23(1), 45–49 (2005).CrossRefGoogle Scholar
Hamilton, J. K., Gilbert, A. D., Petrov, P. G. and Ogrin, F. Y., “Torque driven ferromagnetic swimmers,” Phys. Fluids 30(9), 092001 (2018).CrossRefGoogle Scholar
Grosjean, G., Hubert, M., Lagubeau, G. and Vandewalle, N., “Realization of the Najafi-Golestanian microswimmer,” Phys. Rev. E 94(2), 021101 (2016).CrossRefGoogle ScholarPubMed
Jalali, M. A., Khoshnood, A. and Alam, M.-R., “Microswimmer-induced chaotic mixing,” J. Fluid Mech. 779(18), 669–683 (2015).CrossRefGoogle Scholar
Happel, J. and Brenner, H., Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media (Springer Netherlands, 2012).Google Scholar
Floyd, S., Pawashe, C. and Sitti, M., “Two-dimensional contact and noncontact micromanipulation in liquid using an untethered mobile magnetic microrobot,” IEEE Trans. Robot. 25(6), 1332–1342 (2009).CrossRefGoogle Scholar
Mirzakhanloo, M., Jalali, M. A. and Alam, M.-R., “Hydrodynamic choreographies of microswimmers,” Sci. Rep. 8(1), 3670 (2018).CrossRefGoogle ScholarPubMed
Daddi-Moussa-Ider, A., Lisicki, M., Hoell, C. and Löwen, H., “Swimming trajectories of a three-sphere microswimmer near a wall,” J. Chem. Phys. 148(13), 134904 (2018).CrossRefGoogle Scholar
Demir, E. and Yesilyurt, S., “Low Reynolds number swimming of helical structures in circular channels,” J. Fluids Struct. 74(7), 234–246 (2017).CrossRefGoogle Scholar
Gibbs, J. and Zhao, Y., “Catalytic nanomotors: Fabrication, mechanism, and applications,” Front. Mater. Sci. 5(1), 25–39 (2011).CrossRefGoogle Scholar
Metzger, N., Mazilu, M., Kelemen, L., Ormos, P. and Dholakia, K., “Observation and simulation of an optically driven micromotor,” J. Opt. 13(4), 044018 (2011).CrossRefGoogle Scholar
Fischer, P. and Ghosh, A., “Magnetically actuated propulsion at low Reynolds numbers: Towards nanoscale control,” Nanoscale 3(2), 557–563 (2011).CrossRefGoogle Scholar
Tottori, S., Zhang, L., Qiu, F., Krawczyk, K. K., Franco-Obregón, A. and Nelson, B. J., “Magnetic helical micromachines: Fabrication, controlled swimming, and cargo transport,” Adv. Mater. 24(6), 811–816 (2012).CrossRefGoogle ScholarPubMed