Feedback Control of Microflows

Armani, Mike; Cummins, Zachary; Gong, Jian Ping; Mathai, Pramod; Probst, Roland; Ropp, Chad; Waks, Edo; Walker, Shawn W.; Shapiro, Benjamin

doi:10.1007/978-1-4419-5832-7_9

Cited by 3 publications

(4 citation statements)

References 63 publications

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“…In Armani et. al., [1] and [2], some examples can be found of the use of control techniques. A generalization for the manipulation of particles in the three-dimensional case also exists in the study of Probst and Shapiro [10].…”

Section: Introductionmentioning

confidence: 99%

“…The resulting trajectory γ * can eventually be smoothed out before passing it to the manipulation algorithm. The combination of the proposed method with the manipulation techniques of Shapiro and coworkers ([4], [1], [2] and [10]) would allow for an integrated system of detection, planned manipulation and control of particles towards an arbitrary target.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Trajectory Planning Model for the Manipulation of Particles in Microfluidics

Meacci

Rocha

Silva

et al. 2018

Tend. Mat. Apl. Comput.

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Many important microfluid applications require the control and transport of particles immersed in a fluid. We propose a model for automatically planning good trajectories from an arbitrary point to a target in the presence of obstacles. It can be used for the manipulation of particles using actuators of mechanical or electrical type. We present the mathematical formulation of the model and a numerical method based on the optimization of travel time through the Bellman's principle. The implementation is focused on square grids such as those built from pixelated images. Numerical simulations show that the trajectory tree produced by the algorithm successfully avoids obstacles and stagnant regions of the fluid domain.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Trajectory Planning Model for the Manipulation of Particles in Microfluidics

Meacci

Rocha

Silva

et al. 2018

Tend. Mat. Apl. Comput.

View full text Add to dashboard Cite

show abstract

“…In Armani et. al., (ARMANI et al, 2005) and (ARMANI et al, 2012), some examples can be found of the use of control techniques. A generalization for the manipulation of particles in the three-dimensional case also exists in the study of Probst and Shapiro (PROBST;.…”

Section: Achievements and Future Opportunitiesmentioning

confidence: 99%

“…The resulting trajectory γ * can eventually be smoothed out before passing it to the manipulation algorithm. The combination of the proposed method with the manipulation techniques of Shapiro and coworkers ((CHAUDHARY; SHAPIRO, 2006), (ARMANI et al, 2005), (ARMANI et al, 2012) and (PROBST; SHAPIRO, 2011)) would allow for an integrated system of detection, planned manipulation and control of particles towards an arbitrary target.…”

Section: Achievements and Future Opportunitiesmentioning

confidence: 99%