一类状态不完全可测时滞系统的镇定问题  

Stabilization Problem for a Class of Unobservable Time-Delay systems

作　　者：米阳[1] 关治洪[1] 李文林[2] 井元伟[3] 

机构地区：[1]华中科技大学控制科学与工程系,武汉430074 [2]河南师范大学数学与信息科学学院,新乡453002 [3]东北大学信息科学与工程学院,沈阳110004

出　　处：《系统仿真学报》2005年第6期1428-1430,1434,共4页Journal of System Simulation

基　　金：国家自然科学基金项目(60274004)。

摘　　要：考虑了一类状态不完全可测时滞系统的镇定问题。对于状态不完全已知的时滞系统,利用线性矩阵不等式和系统变换技巧,给出了时滞系统的观测器的具体构造,并且基于设计的观测器,给出了系统的稳定性判据和只包含观测状态的控制律。由于判据中需要的参数是由线性矩阵不等式解出的,不是事先估计选定的,减少了结论的保守性。最后给出了数例仿真,通过Matlab软件的仿真,说明了所设计方法的有效性。A stabilization problem is considered for a class of unobservable time-delay systems. For the time-delay system with incomplete known state, the observer is constructed by using the linear matrix inequality and system transformation technique. And based on the designed observer, the system stability criterion and the control law only including the observe state are given. Because the parameters in the criterion are solved by the linear matrix inequality, but not estimated in the previous, the conservation is reduced in the conclusion. At last, an illustrative example is presented, by using the Matlab software simulation, which shows the effectiveness of the proposed method.

关 键 词：时滞系统 观测器 线性矩阵不等式 渐近稳定 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]