关于鲁棒严格正实镇定准则

On Robust Strict Positive Real Stabilization Criteria

本文主要研究了不确定系统的鲁棒严格正实镇定准则,即考虑了在什么条件下,一个单一控制器不仅能在单位反馈下鲁棒镇定一不确定系统,而且能使其闭环传递函数是鲁棒严格正实的。文中考虑了一种既含有结构参数变化又包括非结构扰动的不确定系统模型,并给出了该问题的充要条件。

This paper is devoted to the study of robust strict positive real stabilization criteria for uncertain systems, i.e., considering the problem of when a single controller not only robustly stabilizes a plant with uncertainties under unity-feedback but also makes the closed-loop system be robustly strictly positive real. The uncertain system models with both parameter variations and unstructured perturbations are considered and some necessary and sufficient conditions for the problem are derived.