A Unified Robust Control System Design Based on Finite Frequency Properties : Behavioral Approach

在本研究计画中，我们使用二次微分形式（QDFs）来研究课题，QDFs在基于行为方法的耗散理论中扮演重要的角色。我们首先基于耗散性描述了分布式系统的有限频率特性，并阐明了它们的物理解释。此外，我们还利用QDF和多项式矩阵方程导出了二维分布式系统稳定的一个充分必要条件。最后，我们推导出了一个控制器，实现有限的频率特性指标的综合条件。鲁棒控制系统的设计和实验验证仍然是未来的工作。

In this research project, we studied the research topics using quadratic differential forms (QDFs) which play an important roles in the dissipation theory based on behavioral approach. We first characterized the finite frequency properties of distributed systems based on dissipativity and clarified their physical interpretation. moreover, we have derived a necessary and sufficient condition for the stability of two-dimensional distributed systems in terms of QDFs and polynomial matrix equation. Finally, we have derived a synthesis condition of a controller which achieves finite frequency property specifications. A robust control systems design and experimental validations remained as future works.