Robust Stability Analysis of a Kind of Combined Integrating Control System  

作　　者：任正云 贾永基 

机构地区：[1]College of Information Science and Technology,Donghua University [2]Glorious Sun School of Business and Management,Donghua University

出　　处：《Journal of Donghua University(English Edition)》2009年第4期397-401,共5页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China (No.60674088)

摘　　要：This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time delays. The parameters of stable space under time delay uncertainty are fixed after Rekasius transformation, and then a new cluster treatment of characteristic roots (CTCR) procedure is adopted to determine the stable space. By this strategy we find that the unstable space is not continuous and both Karitonov vertices theory and Edge theory are unable to be extended to quasi-polynomial under time delay uncertainty.This paper offeres an exact study on the robust stability of a kind of combined integrating control system, and the robust stability belongs to the analysis of a kind of quasi-polynomial with two independent time delays. The parameters of stable space under time delay uncertainty are fixed after Rekasius transformation, and then a new cluster treatment of characteristic roots （ CTCR ） procedure is adopted to determine the stable space. By this strategy we find that the unstable space is not continuous and both Karitonov vertices theory and Edge theory are unable to be extended to quasi-polynomial under time delay uncertainty.

关 键 词：combined integrating control system robust stability quasi-polynomial multiple time delay 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置] TP273[自动化与计算机技术—控制科学与工程]