Model Development and Control Design of Broadband Nanopositioners

在过去的十年中，纳米技术显然将对包括细胞生物学、量子计算机和分子机器在内的不同领域的科学和技术作出根本性的贡献。在纳米技术的承诺成为现实之前，需要克服相当多的挑战，其中关键是宽带纳米定位。为了克服在超高带宽下提供埃分辨率的挑战，本研究提出了一种建模、控制设计、实验验证和器件制造的协调范式，铁电材料被确定为提供纳米定位驱动的主要手段。然而，它们表现出不期望的非线性行为。在这项调查中，这些机制将被量化的方式，促进了基本的物理理解，并将提供模型服从控制设计和实时实施。 高带宽纳米定位的需求是在高度不确定的环境中提出的，并且本质上是多输入多输出的。在这项调查中，多目标的鲁棒控制理论将采用和增强纳米定位方面。 该理论将得到一个全面的实验装置的补充，可以用来验证和建议各种策略nanopositioning.This调查将提供基本和广泛的贡献原子力显微镜。 基于在这一倡议中开发的模型和控制理论，与庇护研究合作，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。 为了使广大学生了解这一新兴领域，北卡罗来纳州州立大学科学计算研究中心每年主办的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，调查将强烈影响学生，并提供一种将技术转移到领先的生物相关显微镜制造商的机制。

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.