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.
出处
《辽宁石油化工大学学报》
CAS
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)
关键词
非线性广义离散系统
零解渐近稳定
无源
状态反馈
Nonlinear singular discrete systems
Zero solution asymptotical stabilitw Passivitv
State feedback
