Uncertain Hybrid Systems

不确定的混合系统

• 批准号: 0622253
• 负责人: Andrew Teel
• 金额: $ 24万
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0622253&HistoricalAwards=false
• 关键词: Uncertain; Hybrid; Systems

Prop. 0622253PI- TeelABSTRACTIntellectual merit:Technological advances have created dynamical systems, with mixed continuous/discrete dynamics, that are interconnected, operate over networks, and are surrounded by an environment filled with uncertainties. This trend has propelled research on hybrid systems, which include both continuous and discrete dynamics, and which are suitable to model complex systems like embedded computer systems, biological systems, and networked systems. The work in this proposal aims to develop feedback control and analysis tools for hybrid systems with uncertainties that arise in real-world applications. The tools used will include set-valued analysis, Lyapunov theory, and input-output theory for interconnected hybrid systems. We will focus on uncertainty and robustness in embedded systems (where physical systems are controlled by computing devices running discrete control algorithms), and uncertainty and robustness in hybrid biological systems. This work will impact design rules for embedded control architecture and help to clarify the most important sources of uncertainty from a control point of view. It will also help to clarify the sources of robustness in the successful functioning of biological networks, and use them for inspiration in hybrid feedback control design.Broader impact:The area of hybrid systems is progressing to the point where important pedagogical decisions are ready to be made about its instruction. In the course of this work, a teaching and research monograph on hybrid systems will be generated. It will focus on foundational aspects of hybrid systems and develop results that parallel what is known and taught about nonlinear systems in a classical graduate curriculum. In particular, special attention will be given to hybrid systems with uncertainty. At the K-12 level, in cooperation with the California Nano-Science Institute, we will help mentor a First Lego League team in the area, to help them prepare for a robotics tournaments linked with nano-technology in the Fall of 2006. The work in this proposal also has the potential for broad impact via the role that control plays as an enabling technology. By studying hybrid systems with uncertainties, the contributions in control design may lead to more reliable and efficient control systems while the results on analysis may reveal important facts on their tolerance to uncertainties. The proposal will support graduate students who will present their findings at national and regional conferences. The results will be made available, promptly, on the web and will be immediately incorporated into graduate courses at the proposing institution. The work will help to further shape UCSB's Center for Control, Dynamical Systems, and Computation, which is one of the leading programs in control education in the nation. It will also strengthen interactions with international partners, e.g., in Australia, France and Italy, and will further collaborative efforts with industrial researchers, including those at Ford Motor Company.

Prop.0622253PI-TeelABSTRACT知识价值：技术进步已经创建了动态系统，具有混合的连续/离散动态，这些动态系统相互连接，在网络上运行，并且被充满不确定性的环境所包围。这一趋势推动了对混合系统的研究，混合系统包括连续和离散动力学，并且适合于建模复杂系统，如嵌入式计算机系统，生物系统和网络系统。本提案中的工作旨在为实际应用中出现的不确定性混合系统开发反馈控制和分析工具。所使用的工具将包括集值分析，李雅普诺夫理论和输入输出理论的互联混合动力系统。我们将专注于嵌入式系统中的不确定性和鲁棒性（其中物理系统由运行离散控制算法的计算设备控制），以及混合生物系统中的不确定性和鲁棒性。这项工作将影响嵌入式控制架构的设计规则，并有助于从控制的角度来澄清最重要的不确定性来源。它也将有助于澄清的来源，在成功运作的生物网络的鲁棒性，并使用它们的灵感在混合反馈控制design.Broader影响：该地区的混合动力系统正在取得进展的点，重要的教学决定是准备作出有关其指令。在这项工作的过程中，将产生一个教学和研究专著的混合动力系统。它将侧重于混合动力系统的基础方面，并开发出与经典研究生课程中关于非线性系统的已知和教授内容平行的结果。特别是，将给予特别关注的混合动力系统的不确定性。 在K-12级别，与加州纳米科学研究所合作，我们将帮助指导该地区的第一乐高联盟团队，帮助他们为2006年秋季与纳米技术有关的机器人锦标赛做准备。本提案中的工作也有可能通过控制作为一种使能技术所发挥的作用产生广泛的影响。通过研究混杂系统的不确定性，在控制设计的贡献可能会导致更可靠和更有效的控制系统，而分析的结果可能会揭示他们的容忍不确定性的重要事实。该提案将支持将在国家和区域会议上介绍其研究结果的研究生。研究结果将及时在网上公布，并将立即纳入提议机构的研究生课程。这项工作将有助于进一步塑造UCSB的控制，动力系统和计算中心，这是全国控制教育的领先项目之一。它还将加强与国际伙伴的互动，例如，在澳大利亚，法国和意大利，并将进一步与工业研究人员，包括那些在福特汽车公司的合作努力。