H-infinity Design in Interconnected and Slowly Time-varying Systems

这个项目涉及的问题是 互联系统Hoo意义下系统设计 和缓慢时变的系统。 项目开始 通过修改Hoo方法， 耦合子系统之间相互作用的影响可以 将其融入设计中。 我们尤其 将开发一种设计策略， Hoo方法中的可用设计自由度 实现各子系统的协调。 此外，我们将研究设计权衡 以及Hoo设计中可实现性能的限制 互联的系统。 该项目继续 研究稳定化和优化问题 在连续时间缓慢时变（可能 不稳定）系统包含可能的时变 延迟条款 冻结时间方法将是 用于推导实际设计程序，以及 将被审查其局限性。 当地的- 全球双代数框架开发的 主要研究者和Zames将用于 认真研究稳定问题， 慢时变系统的优化。 我们 将集中讨论以下基本问题 在Hoo设计问题的慢时变 系统：（1）开发分析工具， 强大的稳定性和性能，（2） 反馈控制器的构造，（3）功率 与一般时间相比， 不同的系统设计，以及（4）的限制 可实现的性能所施加的植物动力学。 该项目将具有实际意义， 提供建设性的设计工具，以及 理论意义在于， 对冻结时间局限性的理解 方法和适应，以及 之间的联系

This project is concerned with the problem of system design in an Hoo sense for interconnected and slowly time-varying systems. The project starts with the modification of the Hoo method so that the effect of interaction among coupled subsystems can be incorporated into the design. In particular, we will develop a design strategy which exploits the available design freedom contained in Hoo method to achieve coordination of subsystems. Furthermore, we will investigate the design tradeoff and limits on achievable performance in Hoo design of interconnected systems. The project continues to study the problem of stabilization and optimization in continuous-time slowly time-varying (possibly unstable) systems containing possibly time-varying delay terms. The frozen-time approach will be employed to derive practical design procedures, and will be examined for its limitations. The local- global double algebra framework developed by the Principal Investigator and Zames will be used to study rigorously the issues of stabilization and optimization in slowly time-varying systems. We will concentrate on the following fundamental issues in Hoo design problems for slowly time-varying systems: (1) the development of analysis tools for robust stability and performance, (2) the construction of feedback controllers, (3) the power of adaptation as compared with general time- varying system design, and (4) the limits of achievable performance imposed by plant dynamics. The project will be of practical importance in providing constructive design tools, and of theoretical significance in giving a better understanding of the limitations of the frozen-time approach and adaptation, and the relationships between modeling and design.