Collaborative Research: Integrated Parameter and Control Design

项目摘要受技术设计问题和感兴趣的关键理论问题的推动，我们考虑一种对象描述依赖于一个或多个待设计参数的范例。我们提出了一个允许多个性能要求的集成参数与控制器(IPC)设计的一般框架。我们建议将这些参数与反馈控制器I一起设计以达到一个或多个目标。然后，我们提出解决潜在的优化问题。理论基础将依赖于非凸优化文献中的新结果，该文献利用凸松弛I来获得全局最优解。我们的方法的潜力被我们最近的工作所证明它将所提出的方法应用于文献1中的鲁棒综合问题，给出了这一重要问题的唯一全局最优解。除了对控制设计理论的贡献外，即将开发的IPC设计工具将用于解决几个实际问题，其中参数和控制器的同时设计可以产生巨大的和可测量的影响。特别是，我们将解决一个显著的纳米技术设计问题I解决超高分辨率微悬臂。这个问题将利用PIS实验室现有的专业知识，并将与相关行业密切合作进行。基于IPC设计理论的跨学科工具，我们还讨论了所提出的研究可能实现的教育目标。这一建议的智力优点来自于对一个公认的尚未解决的集成参数和控制器(IPC)设计问题的新方法。该建议将有助于基于优化的方法来解决控制理论中迄今尚未解决的对实际控制设计具有重要意义的问题。该建议特别强调将发展的理论应用于基于微悬臂梁的技术在IPC设计的背景下。理论范式对于进一步发展这一技术是非常合适和及时的。从理论上的影响来看，所开发的相关技术将在2亿美元的实际问题中得到应用扫描探头行业。PI与行业没有明显的合作关系。开发的技术知识将被引导并转移到行业中。E。ORT将放在集成在典型的MatLab平台上开发的软件上。这将使相关社区开发的工具得到广泛使用。提案的主要主题提供了一个独特的机会，使学生了解工厂结构的重要性，从而促进良好的工厂控制器的整体性能。将开发一门建立在该项目的思想和结果的基础上的新课程，以激励集成参数和控制设计的一般原理和技术1

Project SummaryMotivated by design problems i anotechnology and by key theoretical problems of interest,we consider a paradigm whereby the plant description depends on one or several parameters thatare subject to design.We propose a general framework for I tegrated Parameter and Controller(IPC)design that allows multiple performance requirements.We propose to address the problemof designing these parameters in conjunction with the feedback controller i order to achieve one ormore objectives.We then propose to address and solve the underlying optimization problem.Thetheoretical underpinnings will rely o ew results in the non-convex optimization literature thatutilize convex relaxation i order to get global optimal solutions.The potential of our approachto yield e .ective solutions to the resulting problems is demonstrated by our recent work thatapplies the proposed methods to the robust synthesis problem in 1 giving the only global optimalsolution to this important problem.Aside from its contribution to the theory of control design,the IPC design tools to be developed will be used to address several practical problems where thesimultaneous parameter and controller design can have a large and measurable impact.Speci .cally,we will address a signi .cant nanotechnology design problem i volving ultra-high resolution micro-cantilevers.This problem will take adva tage of existing expertise i the laboratory of the PIs andwill be conducted i close collaboration with the relevant industry.Based o the interdisciplinarytools eeded for IPC design theory,we also address educational goals that are made possible bythe proposed research.The intellectual merit of this proposal stems from the novel approach for a well recognizedunsolved problem of integrated parameter and controller (IPC)design.The proposal will contributesigni .cantly to optimization based methodologies in control theory solving hitherto unaddressedproblems that are of importance for practical control design.The proposal lays particular emphasison applying the theory developed to micro-cantilever based technologies in the context of IPCdesign.The theoretical paradigm is well suited and timely for furthering this technology.Apart from the theoretical impact the related technology to be developed will be applicableto practical problems i the two hundred million dollar scanning probe industry.The PIs havesigni .cant collaboration with industry and the technical knowhow developed will be guided andtransferred e .ectively to the industry.E .ort will be placed on integrating the software developedon a typical Matlab platform.This will enable wide use of the tools developed by the relatedcommunities.The main topic of the proposal provides a unique opportunity to expose the studentto the importance of plant structure that facilitates good overall plant-controller performance.Anovel course that builds o the ideas and results of this project to motivate the general philosophyand techniques of integrated parameter and control design will be developed.1