Abstract
An optimal model-free controller and a linear controller are designed and applied to a horizontal magnetic micromanipulator for controlling microparticles in a liquid environment. An input–output relation based model for the magnetic micromanipulator is obtained, verified, and used in the analysis of controllers. A model-free linear controller is designed using the offset current approach. An optimal nonlinear controller based on Karush–Kuhn–Tucker conditions is designed and then modified to produce smooth control signals. Experimental results are provided to show the efficiency and feasibility of the proposed controllers. The model-free controllers yield short settling time and zero steady-state error in the control of magnetic microparticles.
Issue Section:
Research Papers
References
1.
Jung
,
Y.
,
Choi
,
Y.
,
Han
,
K.-H.
, and
Frazier
,
A. B.
, 2010
, “
Six-Stage Cascade Paramagnetic Mode Magnetophoretic Separation System for Human Blood Samples
,” Biomed. Microdev.
,
12
(4
), pp. 637
–645
.10.1007/s10544-010-9416-32.
Kong
,
T. F.
,
E
,
H. S.
,
Sugiarto
,
H. S.
,
Liew
,
H. F.
,
Wang
,
X.
,
Lew
,
W. S.
,
Nguyen
,
N.-T.
, and
Chen
,
Y.
, 2011
, “
An Efficient Microfluidic Sorter: Implementation of Double Meandering Micro Striplines for Magnetic Particles Switching
,” Microfluid. Nanofluid.
,
10
(5
), pp. 1069
–1078
.10.1007/s10404-010-0735-83.
Plouffe
,
B. D.
,
Murthy
,
S. K.
, and
Lewis
,
L. H.
, 2015
, “
Fundamentals and Application of Magnetic Particles in Cell Isolation and Enrichment: A Review
,” Rep. Prog. Phys.
,
78
(1
), p. 016601
.10.1088/0034-4885/78/1/0166014.
Sitti
,
M.
, 2019
, “
Robotic Collectives Inspired by Biological Cells
,” Nature
,
567
(7748
), pp. 314
–315
.10.1038/d41586-019-00839-x5.
Ceylan
,
H.
,
Yasa
,
I. C.
,
Yasa
,
O.
,
Tabak
,
A. F.
,
Giltinan
,
J.
, and
Sitti
,
M.
, 2019
, “
3D-Printed Biodegradable Microswimmer for Theranostic Cargo Delivery and Release
,” ACS Nano
,
13
(3
), pp. 3353
–3362
.10.1021/acsnano.8b092336.
Wang
,
X.
,
Chen
,
X.-Z.
,
Alcântara
,
C. C. J.
,
Sevim
,
S.
,
Hoop
,
M.
,
Terzopoulou
,
A.
,
de Marco
,
C.
,
Hu
,
C.
,
de Mello
,
A. J.
,
Falcaro
,
P.
,
Furukawa
,
S.
,
Nelson
,
B. J.
,
Puigmartí‐Luis
,
J.
, and
Pané
,
S.
, 2019
, “
MOFBOTS: Metal–Organic-Framework-Based Biomedical Microrobots
,” Adv. Mater.
,
31
(27
), p. 1901592
.10.1002/adma.2019015927.
Fuller
,
D. N.
,
Gemmen
,
G. J.
,
Rickgauer
,
J. P.
,
Dupont
,
A.
,
Millin
,
R.
,
Recouvreux
,
P.
, and
Smith
,
D. E.
, 2006
, “
A General Method for Manipulating DNA Sequences From Any Organism With Optical Tweezers
,” Nucl. Acids Res.
,
34
(2
), p. e15
.10.1093/nar/gnj0168.
Li
,
M.
,
Xiao
,
X.
,
Liu
,
L.
,
Xi
,
N.
,
Wang
,
Y.
,
Dong
,
Z.
, and
Zhang
,
W.
, 2013
, “
Atomic Force Microscopy Study of the Antigen-Antibody Binding Force on Patient Cancer Cells Based on ROR1 Fluorescence Recognition
,” J. Mol. Recognit.
,
26
(9
), pp. 432
–438
.10.1002/jmr.22879.
Pelz
,
B.
,
Žoldák
,
G.
,
Zeller
,
F.
,
Zacharias
,
M.
, and
Rief
,
M.
, 2016
, “
Subnanometre Enzyme Mechanics Probed by Single-Molecule Force Spectroscopy
,” Nat. Commun.
,
7
(1
), pp. 1
–9
.10.1038/ncomms1084810.
Bessalova
,
V.
,
Perov
,
N.
, and
Rodionova
,
V.
, 2016
, “
New Approaches in the Design of Magnetic Tweezers–Current Magnetic Tweezers
,” J. Magn. Magn. Mater.
,
415
, pp. 66
–71
.10.1016/j.jmmm.2016.03.03811.
Neuman
,
K. C.
, and
Nagy
,
A.
, 2008
, “
Single-Molecule Force Spectroscopy: Optical Tweezers, Magnetic Tweezers and Atomic Force Microscopy
,” Nat. Methods
,
5
(6
), pp. 491
–505
.10.1038/nmeth.121812.
Liu
,
Y.-L.
,
Chen
,
D.
,
Shang
,
P.
, and
Yin
,
D.-C.
, 2019
, “
A Review of Magnet Systems for Targeted Drug Delivery
,” J. Controlled Release
,
302
, pp. 90
–104
.10.1016/j.jconrel.2019.03.03113.
Fabian
,
R.
,
Tyson
,
C.
,
Tuma
,
P. L.
,
Pegg
,
I.
, and
Sarkar
,
A.
, 2018
, “
A Horizontal Magnetic Tweezers and Its Use for Studying Single DNA Molecules
,” Micromachines
,
9
(4
), pp. 188
–200
.10.3390/mi904018814.
Kriegel
,
F.
,
Ermann
,
N.
, and
Lipfert
,
J.
, 2017
, “
Probing the Mechanical Properties, Conformational Changes, and Interactions of Nucleic Acids With Magnetic Tweezers
,” J. Struct. Biol.
,
197
(1
), pp. 26
–36
.10.1016/j.jsb.2016.06.02215.
Ghanbari
,
A.
,
Chang
,
P. H.
,
Nelson
,
B. J.
, and
Choi
,
H.
, 2014
, “
Magnetic Actuation of a Cylindrical Microrobot Using Time-Delay-Estimation Closed-Loop Control: Modeling and Experiments
,” Smart Mater. Struct.
,
23
(3
), p. 035013
.10.1088/0964-1726/23/3/03501316.
Diller
,
E.
,
Giltinan
,
J.
,
Lum
,
G. Z.
,
Ye
,
Z.
, and
Sitti
,
M.
, 2016
, “
Six-Degree-of-Freedom Magnetic Actuation for Wireless Microrobotics
,” Int. J. Rob. Res.
,
35
(1–3
), pp. 114
–128
.10.1177/027836491558353917.
Johnson
,
K. C.
,
Clemmens
,
E.
,
Mahmoud
,
H.
,
Kirkpatrick
,
R.
,
Vizcarra
,
J. C.
, and
Thomas
,
W. E.
, 2017
, “
A Multiplexed Magnetic Tweezer With Precision Particle Tracking and Bi-Directional Force Control
,” J. Biol. Eng.
,
11
(1
), p. 47
.10.1186/s13036-017-0091-218.
Jiang
,
C.
,
Lionberger
,
T. A.
,
Wiener
,
D. M.
, and
Meyhofer
,
E.
, 2016
, “
Electromagnetic Tweezers With Independent Force and Torque Control
,” Rev. Sci. Instrum.
,
87
(8
), p. 084304
.10.1063/1.496081119.
Te Velthuis
,
A. J. W.
,
Kerssemakers
,
J. W. J.
,
Lipfert
,
J.
, and
Dekker
,
N. H.
, 2010
, “
Quantitative Guidelines for Force Calibration Through Spectral Analysis of Magnetic Tweezers Data
,” Biophys. J.
,
99
(4
), pp. 1292
–1302
.10.1016/j.bpj.2010.06.00820.
Khamesee
,
M. B.
,
Kato
,
N.
,
Nomura
,
Y.
, and
Nakamura
,
T.
, 2002
, “
Design and Control of a Microrobotic System Using Magnetic Levitation
,” IEEE/ASME Trans. Mechatronics
,
7
(1
), pp. 1
–14
.10.1109/3516.99088221.
Steager
,
E. B.
,
Sakar
,
M. S.
,
Magee
,
C.
,
Kennedy
,
M.
,
Cowley
,
A.
, and
Kumar
,
V.
, 2013
, “
Automated Biomanipulation of Single Cells Using Magnetic Microrobots
,” Int. J. Rob. Res.
,
32
(3
), pp. 346
–359
.10.1177/027836491247238122.
Long
,
F.
,
Matsuura
,
D.
, and
Menq
,
C. H.
, 2016
, “
Actively Controlled Hexapole Electromagnetic Actuating System Enabling 3-D Force Manipulation in Aqueous Solutions
,” IEEE/ASME Trans. Mechatronics
,
21
(3
), pp. 1540
–1551
.10.1109/TMECH.2015.250327423.
Arcese
,
L.
,
Fruchard
,
M.
, and
Ferreira
,
A.
, 2013
, “
Adaptive Controller and Observer for a Magnetic Microrobot
,” IEEE Trans. Rob.
,
29
(4
), pp. 1060
–1067
.10.1109/TRO.2013.225758124.
Ma
,
W.
,
Niu
,
F.
,
Li
,
X.
,
Ji
,
H.
,
Yang
,
J.
, and
Sun
,
D.
, 2015
, “
Modeling and Closed-Loop Control of Electromagnetic Manipulation of a Microparticle
,” IEEE International Conference on Robotics and Automation (ICRA
), Seattle, WA, May 26–30, pp. 143
–148
.10.1109/ICRA.2015.713899225.
Mellal
,
L.
,
Folio
,
D.
,
Belharet
,
K.
, and
Ferreira
,
A.
, 2016
, “
Optimal Control of Multiple Magnetic Microbeads Navigating in Microfluidic Channels
,” IEEE International Conference on Robotics and Automation (ICRA
), Stockholm, Sweden, May 16–21, pp. 1921
–1926
.10.1109/ICRA.2016.748733826.
Piepmeier
,
J. A.
,
Firebaugh
,
S.
, and
Olsen
,
C. S.
, 2014
, “
Uncalibrated Visual Servo Control of Magnetically Actuated Microrobots in a Fluid Environment
,” Micromachines
,
5
(4
), pp. 797
–813
.10.3390/mi504079727.
Marino
,
H.
,
Bergeles
,
C.
, and
Nelson
,
B. J.
, 2014
, “
Robust Electromagnetic Control of Microrobots Under Force and Localization Uncertainties
,” IEEE Trans. Autom. Sci. Eng.
,
11
(1
), pp. 310
–316
.10.1109/TASE.2013.226513528.
Zhang
,
Z.
,
Long
,
F.
, and
Menq
,
C.
, 2013
, “
Three-Dimensional Visual Servo Control of a Magnetically Propelled Microscopic Bead
,” IEEE Trans. Rob.
,
29
(2
), pp. 373
–382
.10.1109/TRO.2012.222967129.
Kim
,
J.
,
Choi
,
H.
, and
Kim
,
J.
, 2019
, “
A Robust Motion Control With Antiwindup Scheme for Electromagnetic Actuated Microrobot Using Time-Delay Estimation
,” IEEE/ASME Trans. Mechatronics
,
24
(3
), pp. 1096
–1105
.10.1109/TMECH.2019.290714530.
Ablay
,
G.
, 2015
, “
Variable Structure Controllers for Unstable Processes
,” J. Process Control
,
32
, pp. 10
–15
.10.1016/j.jprocont.2015.04.01731.
Fliess
,
M.
, and
Join
,
C.
, 2013
, “
Model-Free Control
,” Int. J. Control
,
86
(12
), pp. 2228
–2252
.10.1080/00207179.2013.81034532.
Ablay
,
G.
,
Böyük
,
M.
, and
İçöz
,
K.
, 2019
, “
Design, Modeling, and Control of a Horizontal Magnetic Micromanipulator
,” Trans. Inst. Meas. Control
,
41
(11
), pp. 3190
–3198
.10.1177/014233121882439233.
Lewis
,
F. L.
,
Vrabie
,
D. L.
, and
Syrmos
,
V. L.
, 2012
, Optimal Control
,
Wiley
, Hoboken, NJ
.34.
Csorvási
,
G.
, and
Vajk
,
I.
, 2020
, “
Sequential Time-Optimal Algorithm for Extended Path Tracking Problem
,” ASME J. Dyn. Sys., Meas., Control
, 142(8), p. 081005.10.1115/1.404661435.
Ablay
,
G.
, 2015
, “
Robust Estimator-Based Optimal Control Designs for U-Tube Steam Generators
,” Trans. Inst. Meas. Control
,
37
(5
), pp. 636
–644
.10.1177/014233121453429236.
Boyd
,
S.
, and
Vandenberghe
,
L.
, 2004
, Convex Optimization
,
Cambridge University Press
, Cambridge, UK
.37.
Rahman
,
M.
,
Saei
,
A. A.
,
Amiri
,
H.
, and
Mahmoudi
,
M.
, 2015
, “
Biomedical Applications of Superparamagnetic Nanoparticles in Molecular Scale
,” Curr. Org. Chem.
,
19
(11
), pp. 982
–990
.10.2174/13852728191115061010054838.
Hejazian
,
M.
,
Li
,
W.
, and
Nguyen
,
N.-T.
, 2015
, “
Lab on a Chip for Continuous-Flow Magnetic Cell Separation
,” Lab Chip
,
15
(4
), pp. 959
–970
.10.1039/C4LC01422G39.
Happel
,
J.
, and
Brenner
,
H.
, 1983
, Low Reynolds Number Hydrodynamics: With Special Applications to Particulate Media
,
Springer
, The Hague, The Netherlands
.40.
Kim
,
M.
, and
Zydney
,
A. L.
, 2004
, “
Effect of Electrostatic, Hydrodynamic, and Brownian Forces on Particle Trajectories and Sieving in Normal Flow Filtration
,” J. Colloid Interface Sci.
,
269
(2
), pp. 425
–431
.10.1016/j.jcis.2003.08.00441.
Ablay
,
G.
, 2014
, “
Coefficient Ratios Based Robust Sliding Surface and Integral Sliding Mode Control Designs With Optimal Transient Responses
,” IET Control Theory Appl.
,
8
(17
), pp. 1896
–1904
.10.1049/iet-cta.2014.0138Copyright © 2021 by ASME
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