摘要
对一类具有变时滞的不确定非线性奇异系统,研究时滞相关的鲁棒稳定问题。利用Lya-punov函数和线性矩阵不等式工具,首先得到非线性奇异闭环系统鲁棒稳定的充分条件,然后由相应的线性矩阵不等式,给出了无记忆状态反馈稳定控制器的设计方法。最后,用数值例子说明该方法的有效性。
The problem of delay-dependent robust stabilization for a class of uncertain non-linear singular systems with time-delay is studied. Firstly, based on Lyapunov functional method and linear matrix inequality technique, a sufficient condition is given, which ensures that the singular closed-loop system is robust stable. Then, a design method for the memoryless state feedback stable controller of the system is obtained. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
出处
《云南师范大学学报（自然科学版）》
2012年第5期48-51,共4页
Journal of Yunnan Normal University:Natural Sciences Edition
