Dynamical System Theory for Systems with Generalized Frequency Variables: Performance Evaluation for Large-scale Systems and Decentralized Estimation and Control

近年来，控制等工程领域中需要处理的系统变得越来越大和复杂，可以将它们视为多智能体动态系统，其中一群子系统或智能体通过相互作用来分散地执行局部目标，以实现全局目标。为此，本研究项目试图建立一个新的框架，基于首席研究员提出的具有广义频率变量的动态系统。主要结果包括递阶分散控制的几种系统设计方法和理论基础。在生物系统中的应用证实了结果的有效性，在气象现象和能源网络中的应用也是可望的。

Recently, systems to be treated in various fields of engineering including control have become large and complex ,and they can be treated as multi-agent dynamical systems, where a bunch of subsystems or agents perform in a decentralized way with local objectives by interacting each other to achieve the global objective.To this end, this research project has tried to establish a new framework based on "Dynamical Systems with Generalized Frequency Variables" proposed by the Principal Investigator. The main results include several systematic design procedures for hierarchical decentralized control as well as theoretical foundations. The usefulness of the results have been confirmed by applications in bio systems, and the applications to meteorological phenomena and energy networks are expected.