A Green's Function-Based Design for Deformation Control of a Microbeam With In-Domain Actuation

作者:Badkoubeh Amir*; Zhu Guchuan
来源:Journal of Dynamic Systems Measurement and Control-Transactions of the ASME, 2014, 136(1): 011018.
DOI:10.1115/1.4025552

摘要

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.

  • 出版日期2014-1

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