基于LMI的不确定仿射离散时滞系统稳定性及算法设计  

LMI-based stability and algorithm design for uncertain affined discrete systems with delay

作　　者：李阳[1] 

机构地区：[1]辽宁石油化工大学理学院,辽宁抚顺113001

出　　处：《西安工程大学学报》2013年第6期831-834,共4页Journal of Xi’an Polytechnic University

基　　金：国家自然科学基金资助项目(20273028)

摘　　要：针对一类带有时滞的范数有界不确定仿射离散系统,采用Lyapunov方法,利用线性矩阵不等式(LMI)和双线性矩阵不等式(BMI)优化技术,给出了相应闭环系统鲁棒稳定性新的判定标准,并且设计出系统稳定的状态反馈鲁棒控制器,给出了算法设计流程,最后通过仿真案例验证了该方法的正确性和有效性.Focusing on a class of norm-bounded uncertain affine discrete systems with state delay, based on the Lyapunov method, by utilizing linear matrix inequalities（LMI） and bilinear matrix inequalities （BMI） technique, a delay-independent criteria is proposed to guarantee the asymptotic stability of the closed loop system through designing state feedback controller. Meanwhile, an algorithm is addressed. A numerical example is given to illustrate effectiveness of the proposed theoretical results.

关 键 词：离散时滞系统 LYAPUNOV方法 线性矩阵不等式 双线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]