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Model predictive hydrodynamic regulation of microflows

Leonidas G Bleris1, Jesus G Garcia2, Mark G Arnold3 and Mayuresh V Kothare4

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We study the problem of hydrodynamic regulation of a flow stream in a microfluidic geometry using model predictive control (MPC). Via bit-accurate emulations we mimic, on a 32-bit microcontroller, the optimization operations associated with MPC. Additionally, we use finite element method simulations to solve the coupled partial differential equation problem that describes the flow and diffusive transport in the examined microfluidic geometry. This combination of simulations and hardware emulations allows us to examine the feasibility of a real-time embedded MPC chip in closed loop with a microsystem, and provide estimates of the performance.


PACS

47.61.Fg Flows in micro-electromechanical systems (MEMS) and nano-electromechanical systems (NEMS)

84.30.Sk Pulse and digital circuits

47.11.Fg Finite element methods

47.85.Dh Hydrodynamics, hydraulics, hydrostatics

Subjects

Fluid dynamics

Computational physics

Electronics and devices

Dates

Issue 9 (September 2006)

Received 15 February 2006, in final form 26 June 2006

Published 26 July 2006



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