摘要
利用开关控制系统稳定化理论对高阶线性系统的稳定化问题进行了研究,提出了一种基于开关控制的高阶线性系统稳定化方法。该方法在对高阶线性系统进行解耦的基础上对高阶线性系统中的不稳定部分采用开关控制系统进行控制,从而解决了一类不稳定高阶线性系统的稳定化问题。如果对这一方法的使用条件适当放宽则该方法可以应用到更多情况下的高阶线性系统稳定化中。仿真试验说明了本方法的有效性。
The stability problem of high-order linear system was researched based on the stability theory of switched control system. A stability approach for high-order linear system based on switched control was proposed. The approach adopts the switched control system to control high-order instability part of linear system after high-order linear system was decoupled, thus solves the stability problem of a sort of unstable high-order linear system. If the service condition of this approach is relaxed properly, the approach can be applied in high-order linear system under more situations. The simulation test has stated the validity, of this approach.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2009年第4期1091-1094,1100,共5页
Journal of System Simulation
基金
国家自然科学基金(60874057)
辽宁省教育厅科技研究项目资助(2008563)
关键词
线性开关系统
约当型
区域转换律
解耦控制
switched linear system
Jordan form
conic switching law
decoupling control