Decentralized Stabilization of Large-Scale Systems with Time Delays

分散式大型時延系統之時延相關強健穩定化

劉柄麟(Pin-Lin Liu)

《建國科大學報》 24卷1期 (2004/10) Pp. 77-93

https://doi.org/10.6995/JCTU.200410.0077

摘要

本文旨在引用Lyapunov-Krasovskii function結合線性矩陣不等式(LMI)，針對分散式大型時延系統提出欲維持系統之強健穩定化時，系統所能承受之強健穩定時間延遲範圍。主要結果可估測延遲時間且為時延相關穩定準則。基於線性矩陣不等式(LMI)分析技巧進一步探討分散式大型時延系統之時延相關強健穩定化。本文所得結果與延遲訊息有關並可延伸於控制器之設計，文中並舉例說明所提準則經量化量測所得之結果與現有文獻作比較，在相同例子下可得能承受較大之強健穩定時間延遲範圍。

關鍵字

分散式 ； 時延相關 ； 線性矩陣不等式

並列摘要

The purpose of this paper is to consider the decentralized stabilization problem of linear, time-invariant, large-scale interconnected systems with delays. Based on Lyapunov-Krasovskii functional combining with linear matrix inequality (LMI) techniques, simple and improved delay-dependent stability criteria are derived. Our results, which are given in terms of quadratic forms of state and LMI, are depended on the size of the delay and more informative. The main results proposed in this study are shaper than those reported in the literature. Numerical examples are given to demonstrate the effectiveness of the proposed approach.

並列關鍵字

Decentralized ； delay-dependent ； linear matrix inequality