CAREER: Modeling, Dynamical Analysis, and Control of Microcantilever Based Devices

9733802 SalapakaMicro-spreadlever在过去的十年里彻底改变了显微镜。 巧妙的使用方法已经被设计成在非常小的尺度上探测和操纵材料。 这种结构使研究成为可能，这是《科学》和《自然》等知名期刊上发表大量文章的原因。 它们被广泛应用于生物学（DNA链已被微操纵）和半导体加工等不同领域。 近年来，一些利用微悬臂梁的研究主要集中在纳米加工和电子自旋探测等领域，尽管控制器设计对这类系统很重要，但对控制器作用的系统研究却被忽略了。 拟议的项目将进行这样的研究，其中的主要目标是获得面向控制的微悬臂梁为基础的设备模型，并利用这些模型来设计和实现控制器。 基于这样的模型，将开发一种方法来评估这种设备的性能极限。 初步的研究表明，这种研究可以取得巨大的进展。为了有效地设计控制器，这样的系统的基本物理原理的理解是必要的。 有一些新的现象会对性能产生不利影响，但可以帮助符号过程。 作为一个例子，在系统中利用微扰的热噪声可以是在可实现的性能的限制因素。 然而，使用热噪声，标称模型和建模误差的界限可以以简单的方式获得。 这些现象将被研究和利用建模。正在进行的研究表明，复杂的行为是可能的，在双样本动力学。 控制设计可以在稳定存在于复杂动态中的期望行为方面发挥重要作用。 提高操作速度和更好的分辨率是这种设计的重要好处，这将在本项目下实现。 此外，随着微型化的增加，微悬臂梁中的量子力学效应开始变得相关，并且需要控制这种效应变得重要。 这种不确定性的原因之一是悬臂梁动力学由悬臂梁探测的材料决定。 此外，在这样的设备中存在的一些干扰的特点是在一个随机的框架，而其他人在一个确定性的，时域设置描述。 因此，控制器，可以处理性能规格，在存在不确定性的干扰，可以是特别有价值的。 本课程将针对微悬臂梁式控制器的设计、验证与实作等问题，提供一门课程，让学生了解微悬臂梁式控制器的设计、验证与实作。 本课程将包括理论和实验的适当结合。 与基于微悬臂梁的装置相关的方面也将被并入。 企业家将在讲座中强调项目成功所需考虑的财务问题。 在另一个课程中，将介绍最近的控制器设计方法，这些方法依赖于凸性理论。 本课程将统一大多数的凸分析技术，正在使用的控制器的设计。 有效的计算工具来设计这样的控制器将被给予。 ***

9733802SalapakaMicro-cantilevers have revolutionized microscopy in the past decade. Ingenious ways of using them have been deviced to probe and manipulate material at very small scale. Research made possible by such structures is the reason for numerous articles in reputed journals such as Science and Nature. They have found widespread use in diverse areas such as biology (DNA strands have been manipulated using micro-cantilevers) and semiconductor processing. Some of the recent research which utilize micro-cantilevers are in the areas of nano-machining and electron spin detection.Inspite of the importance of control design for such systems, a systematic study of the role of controllers has been neglected. The proposed project will perform such a study where the primary objective is to obtain control-oriented models for micro-cantilever based devices, and the utilization of such models to design and implement controllers. Based on such models a methodology to assess the limits of performance of such a device will be developed. Initial research has indicated that vast advances can be made by such a study.For effective design of controllers for such systems a good understanding of the underlying physical principles is required. There are novel phenomena which affect the performance adversely but can aid the sign process. As an example, thermal noise in systems utilizing micro-cantilevers can be the limiting factor in the achievable performance. However, using thermal noise, nominal model and bounds on modeling errrors can be obtained in a straightforward manner. Such phenomena will be studied and exploited for modeling.Ongoing research has indicated that complex behavior is possible in the cantilever-sample dynamics. Control design can play an important role in stabilizing desirable behavior that exist amidst the complex dynamics. Increased speeds of operation and better resolutions are the important benefits of such a design, which will be pursued under this project. Also, with increasing miniaturization the quantum-mechanical effects in the micro-cantilever start to become relevant and a need to control such effects becomes important.Uncertainty in any model for a cantilever based device is unavoidable. One of the reasons for such uncertainty is that the cantilever dynamics is determined by the material being probed by the cantilever. Moreover, some disturbances present in such devices are characterized in a stochastic framework while others are described in a deterministic, time-domain setting. Thus controllers which can handle performance specifications with respect to such disturbances in the presence of uncertainty can be particularly valuable. The study of better techniques, software development and implementation of such controllers in a device which employs a micro-cantilever is proposed.A course which educates the student in modeling, validation and implementation issues of design will be developed. This course will comprise of an appropriate combination of theory and experiment. Aspects relevant to micro-cantilever based devices will also be incorporated. Lectures to be given by entrepreneurs will highlight the financial issues to be considered for the success of a project. In another course, recent methodologies ofcontroller design which rely on convexity theory will be presented. This course will unify most of the convex analysis techniques that are being utilized in the design of contollers. Efficient computational tools to design such controllers will be given. ***