Research Initiation Award: Robust Stabilization of Time Delay Systems

本项目的主要研究目标是发展一种计算方法，用于检验具有不确定参数和时滞的线性系统的鲁棒稳定性和设计鲁棒镇定控制器。这是当今控制理论中的主要开放问题之一，因为反馈回路中存在的时滞严重影响控制系统的鲁棒性。1)Kharitonov型结果成立的时滞系统的刻画。2)推导了多面体结构时滞系统在不确定参数空间中的鲁棒稳定性的有效计算工具。3)发展了时滞系统的鲁棒镇定理论，可能对鲁棒控制器设计的一般方法有一定的指导意义。

The main research goal of this project is to develop computational methods for testing robust stability and designing robust stabilizing controllers for linear systems with uncertain parameters and time delays. This is one of the main open problems in control theory today since the presence of time delays in the feedback loop affects heavily the robustness of a control system. The following particular objects are in focus: 1) Characterization of those classes of time delay systems for which the Kharitonov type results hold. 2) Derivation of efficient computational tools for testing robust stability of delay systems with the polytope structure in space of uncertain parameters. 3) Development of the theory of robust stabilization of delay systems with possible implications for the general methodology of robust controller design.