CAREER: Modeling, Analysis, and Control of Hybrid Systems with Applications to Nanoprocesses

职业：混合系统的建模、分析和控制及其在纳米过程中的应用

• 批准号: 0551947
• 负责人: VijaySekhar Chellaboina
• 金额: $ 21.26万
• 依托单位: University of Tennessee Knoxville
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0551947&HistoricalAwards=false
• 关键词: CAREER; Modeling; Analysis; Control; Hybrid

Modeling, Analysis, and Control of HybridSystems with Applications to NanoprocessesIn the light of the increasingly complex nature of dynamical systems requiring controls, the predominant considerations in control law design for modern engineering systems have focused on general hierarchical nonlinear switching control architectures that minimize control law complexity subject to the achievement of overall system stability and performance. These systems, classified as hybrid dynamical systems, include dynamical switching systems, nonsmooth impact mechanical systems, biological systems, sampled-data systems, discrete-event systems, intelligent vehicle/highway systems, constrained mechanical systems, and flight control systems, to cite but a few examples. The proposed research program focuses on stability and control of general hybrid dynamical systems. In this research, first, we will focus on the development of a unified dynamical systems approach for solving the problems of stability analysis, disspativity theory, optimal control, robust stability and performance of hybrid/impulsive dynamical systems. Next, a general modeling framework for mechanical impact systems described by impulsive differential equations will be developed. Furthermore, based on an ongoing research effort, we will develop a passivity-based control framework for stabilization of mechanical impact systems, more generally, Euler-Lagrange systems involving impacts. Finally, to transition the proposed theoretical developments to cutting-edge engineering technology, we propose to validate our results on a very important engineering problem; namely, active control of nanoprocesses.As part of his educational activities, we propose to introduce a novel web-based numerical experimental component in the undergraduate control education. Specifically, using the new enabling multimedia technology, we propose to develop several numerical experiments to train students in applying the analytical skills on computer generated models. Finally, inspired by an optimal control approach for biological processes, we propose a teaching philosophy/model to study and hopefully maximize freshmen retention.

混杂系统的建模、分析和控制及其在纳米过程中的应用鉴于需要控制的动力系统的日益复杂的性质，现代工程系统的控制律设计的主要考虑因素集中在一般的递阶非线性切换控制体系结构上，该体系结构在实现系统整体稳定性和性能的前提下将控制律的复杂性降至最低。这些系统被归类为混合动力系统，包括动态切换系统、非光滑冲击机械系统、生物系统、采样数据系统、离散事件系统、智能车辆/公路系统、约束机械系统和飞行控制系统，仅举几个例子。所提出的研究方案侧重于一般混杂动力系统的稳定性和控制。在这项研究中，首先，我们将致力于发展一种统一的动力系统方法来解决混合/脉冲动力系统的稳定性分析、离散性理论、最优控制、鲁棒稳定性和性能问题。接下来，我们将建立一个由脉冲微分方程描述的机械冲击系统的通用建模框架。此外，基于一项正在进行的研究工作，我们将开发一种基于无源性的控制框架，用于机械冲击系统的稳定化，更广泛地说，涉及冲击的欧拉-拉格朗日系统。最后，为了将所提出的理论发展转化为前沿工程技术，我们建议在一个非常重要的工程问题上验证我们的结果，即纳米过程的主动控制。作为他的教育活动的一部分，我们建议在本科控制教育中引入一个新颖的基于网络的数值实验组件。具体地说，利用新的使能多媒体技术，我们建议开发几个数值实验，以训练学生在计算机生成的模型上应用分析技能。最后，在生物过程最优控制方法的启发下，我们提出了一种教学理念/模型来研究并希望最大限度地保持新生的记忆力。