Uncertain Hybrid Systems

智力优势：技术进步创造了具有混合连续/离散动态的动力系统，这些动力系统相互连接，在网络上运行，并被充满不确定性的环境所包围。这一趋势推动了混合系统的研究，混合系统包括连续和离散动力学，适合于模拟复杂系统，如嵌入式计算机系统、生物系统和网络系统。本提案的工作旨在为现实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、李雅普诺夫理论和互联混合系统的输入输出理论。我们将重点关注嵌入式系统中的不确定性和鲁棒性（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体系结构的设计规则，并有助于从控制的角度阐明最重要的不确定性来源。它还将有助于澄清生物网络成功运作的鲁棒性来源，并将其用于混合反馈控制设计的灵感。更广泛的影响：混合系统领域正在发展到一个重要的教学决策已经准备就绪的地步。在这项工作的过程中，将产生一本关于混合系统的教学和研究专著。它将侧重于混合系统的基础方面，并开发出与经典研究生课程中已知和教授的非线性系统相似的结果。特别地，将特别注意具有不确定性的混合系统。在K-12阶段，我们将与加州纳米科学研究所合作，帮助指导该地区的第一乐高联盟球队，帮助他们为2006年秋季与纳米技术相关的机器人锦标赛做准备。通过控制作为一种使能技术的作用，本提案中的工作也有可能产生广泛的影响。通过对具有不确定性的混合系统的研究，控制设计中的贡献可以使控制系统更加可靠和高效，而分析结果可以揭示其对不确定性容忍度的重要事实。该提案将支持研究生在国家和地区会议上展示他们的研究成果。结果将立即在网上公布，并将立即纳入申请机构的研究生课程。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，该中心是美国控制教育领域的领先项目之一。它还将加强与澳大利亚、法国和意大利等国际伙伴的互动，并将进一步与包括福特汽车公司在内的工业研究人员合作。

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.