2011
DOI: 10.1016/j.mechatronics.2010.09.001
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Swimming microrobot actuated by two pairs of Helmholtz coils system

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Cited by 55 publications
(28 citation statements)
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“…However, with the assumption |x 1 | |x 2 |, we can obtain unique analytical solutions. In particular, we have arctan(x 2 /x 1 ) ≈ (x 2 /x 1 ) and (x 2 1 + x 2 2 ) ≈ x 2 1 . The equilibrium point can then be obtained as…”
Section: A Stability and Uniqueness Of Equilibriamentioning
confidence: 95%
See 1 more Smart Citation
“…However, with the assumption |x 1 | |x 2 |, we can obtain unique analytical solutions. In particular, we have arctan(x 2 /x 1 ) ≈ (x 2 /x 1 ) and (x 2 1 + x 2 2 ) ≈ x 2 1 . The equilibrium point can then be obtained as…”
Section: A Stability and Uniqueness Of Equilibriamentioning
confidence: 95%
“…It is easy to see that a 11 + a 22 = −(3c 1 + c 2 ) x 2 1 + x 2 2 , and thus is less than 0 except when x 1 = x 2 = 0. By canceling the terms m 2 m 1 x 3 and − m 1 m 2 x 3 in view of the negligible coupling terms in (8) and (9), we have a 11 a 22 − a 12 a 21 = 1/(m 1 m 2 ) (2c 2 1 + 2c 1 c 2 )(x 2 1 + x 2 2 ) + 2c 2 2 (x 2 1 + x 2 2 ) arctan 2 ( x 2 x 1 ) , which is always positive. From the above analysis, we show that the linearization matrix A is Hurwitz at an equilibrium point independent of its specific values, which proves the local asymptotic stability of the average model given a particular set of control input (α 0 , α A , ω α ).…”
Section: A Stability and Uniqueness Of Equilibriamentioning
confidence: 99%
“…126 Various groups have reported in vitro swimming of tail-flapping magnetic microrobots. 127,128,129 Design concepts for larger fish-like robots for underwater and marine exploration, employing streamlined and flexible bodies with single oscillating tails 130 could be miniaturized and explored for potential use in stomach endoscopy.…”
Section: B2 Fish-like Magnetic Capsulesmentioning
confidence: 99%
“…Because using the traditional endoscopic catheter is likely to cause injury to the soft tissue inside the human body, developing autonomous medical micro robots for use in human pipes has become a hot research topic in the fields of international medicine and electronics. Medical inpipe robots can be divided into passive capsule endoscopes, 1,2 active crawling in-pipe robots [3][4][5] and swimming in-pipe robots [6][7][8] and so on. When passive capsule endoscopes and active crawling in-pipe robots are operating in a pipe, they come into direct contact with the walls of the pipe.…”
Section: Introductionmentioning
confidence: 99%