一类非线性广义离散系统的无源控制  

Passive Control for a Class of Nonlinear Singular Discrete Systems

作　　者：衣娜[1] 侯景臣[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《辽宁石油化工大学学报》2011年第3期74-77,88,共5页Journal of Liaoning Petrochemical University

基　　金：国家自然科学基金(71001074);辽宁省教育厅科研项目(W2010302)

摘　　要：针对一类非线性广义离散系统的无源控制问题进行了分析。利用广义Lyapunov函数和线性矩阵不等式(LMI),得到了非线性广义离散系统的零解渐近稳定且无源的充分条件,在此基础上得到了状态反馈无源控制器,使闭环系统零解渐近稳定且无源。同时,给出了相应控制器的设计方法,最后提供一个数值算例说明结论的有效性。The passive control problem for a class of nonlinear singular discrete systems was analyzed, By the means of generalized Lyapunov function and linear matrix inequality, a sufficient condition was presented and a zero solution of nonlinear singular discrete system is asymptotically stable and passive. Based on the passive analysis, the condition was given for the existence of a state feedback passive controller, and it makes zero solution of the closed--loop system asymptotically stable and passive. Moreover, meamwhile the design method of the controller is given. An example was given to prove the validity of the results.

关 键 词：非线性广义离散系统 零解渐近稳定 无源 状态反馈 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]