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

在本研究项目中，我们利用二次微分形式（QDFs）研究了基于行为方法的耗散理论中的重要研究课题。我们首先根据耗散率表征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，我们还导出了二维分布式系统稳定性的充要条件，即qdf和多项式矩阵方程。最后，给出了控制器达到有限频率特性要求的综合条件。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.