This paper presents a Green's function-based design for deformation control of a microbeam described by an Euler-Bernoulli equation with in-domain pointwise actuation. The Green's function is first used in control design to construct the test function that enables the solvability of a map between the original nonhomogeneous partial differential equation and a target system in standard boundary control form. Then a regularized Green's function is employed in motion planning, leading to a computationally tractable implementation of the control scheme combined by a single feedback stabilizing loop and feedforward controls. The viability and the applicability of the proposed approach are demonstrated through numerical simulations of a representative microbeam.
A Green's Function-Based Design for Deformation Control of a Microbeam With In-Domain Actuation
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 24, 2012; final manuscript received September 21, 2013; published online October 23, 2013. Assoc. Editor: Srinivasa M. Salapaka.
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Badkoubeh, A., and Zhu, G. (October 23, 2013). "A Green's Function-Based Design for Deformation Control of a Microbeam With In-Domain Actuation." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 011018. https://doi.org/10.1115/1.4025552
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