Model Development and Control Design of Broadband Nanopositioners

在过去的十年中，纳米技术将对包括细胞生物学、量子计算机和分子机器在内的各个领域的科学技术做出基础性的贡献，这一点已经变得很明显。在纳米技术的前景成为现实之前，有相当多的挑战需要克服，其中关键的是宽带纳米定位。为了克服在超高带宽下提供埃分辨率的挑战，本研究提出了一种协调的建模、控制设计、实验验证和器件制造范式。铁电材料被认为是为纳米定位提供驱动的主要手段。然而，它们表现出不良的非线性行为。在本研究中，这些机制将以一种促进对底层物理的基本理解的方式进行量化，并将提供可用于控制设计和实时实现的模型。高带宽纳米定位需求是在高度不确定的环境下提出的，并且本质上是多输入多输出的。在本研究中，多目标鲁棒控制理论将被用于纳米定位。该理论将通过一个全面的实验装置加以补充，该实验装置可用于验证和建议各种纳米定位策略。这项研究将为原子力显微学提供基础和广泛的贡献。基于该倡议中开发的模型和控制理论，与庇护研究公司合作，将开发一种新的最先进的扫描探针显微镜，能够实现未来应用所需的速度和分辨率。为了让更多的学生接触到这一新兴领域，北卡罗莱纳州立大学科学计算研究中心每年举办的2002-2005年工业数学建模研讨会都将征集相关项目。通过这种方式，调查将对学生产生强烈影响，并为将技术转移到领先的生物相关显微镜制造商提供机制。

In the past decade, it has become evident that nanotechnology will make fundamental contributions to science and technology in diverse areas including cell-biology, quantum computers and molecular machines. There are considerable challenges that need to be overcome before the promise of nanotechnology becomes a reality, pivotal among which is broadband nanopositioning. To overcome the challenge of providing angstrom resolution at ultra-high bandwidth, a concerted paradigm of modeling, control design, experimental validation and device fabrication is proposed in this investigation.Ferroelectric materials are identified as the primary means to provide actuation for nanopositioning. However, they exhibit undesirable nonlinear behavior. In this investigation, these mechanisms will be quantified in a manner that promotes both a fundamental understanding of the underlying physics and will provide models amenable to control design and real-time implementation. The high-bandwidth nanopositioning demands are posed in a highly uncertain environment, and are multi-input multi-output in nature. In this investigation multiobjective robust control theory will be employed and enhanced with regard to nanopositioning. The theory addressed will be complemented by a comprehensive experimental setup that can be utilized to validate and suggest various strategies for nanopositioning.This investigation will provide fundamental and broad contributions to atomic force microscopy. Based on the models and control theory developed in this initiative, in collaboration with Asylum Research, a new state of the art scanning probe microscope capable of achieving the speed and resolution required for future applications will be developed. To expose a broad range of students to this nascent field, related projects will be solicited for each of the 2002-2005 Industrial Mathematics Modeling Workshops sponsored annually by the Center for Research in Scientific Computation at North Carolina State University. In this manner, the investigation will strongly impact students as well as provide a mechanism for transferring the technology to a leading biology-related microscope manufacturer.