多时滞不确定离散系统稳定性的凸优化算法  

Convex Optimal Algorithm for Stability of Uncertain Discrete-time Systems with Multiple Delays

作　　者：李阳[1] 

机构地区：[1]辽宁石油化工大学理学院,抚顺113001

出　　处：《科学技术与工程》2013年第20期5825-5828,共4页Science Technology and Engineering

基　　金：国家自然科学基金(20273028)资助

摘　　要：研究了带有多输入输出时滞的范数有界不确定离散系统的稳定性。根据Lyapunov方法,利用线性矩阵不等式(LMI)和双线性矩阵不等式(BMI)技术,给出了系统稳定性的新的充分条件,设计了闭环系统的状态反馈鲁棒控制器,它可以用Matlab控制工具箱数值求解。利用凸优化技术给出了一个可保成本的有效的迭代算法。最后通过仿真案例验证了所提出理论结果和算法的正确性和有效性。This paper studies the stability problem for norm-bounded uncertain discrete system with both state and input multiple delays. According to Lyapunov method ,by using technique of linear matrix inequalities （LMI） and bilinear matrix inequalities （BMI），this article addresses a novel sufficient condition for the stability of the system and designs a state feedback robust controller which is numerically feasible with Matlab LMI control Toolbox for the closed loop system. An effective alternate iterative algorithm for the guaranteed cost is proposed via convex optimal techniques. In the end, a simulation case is provided to illustrate the correctness and the effectiveness of the proposed theoretical result and algorithm.

关 键 词：离散系统 多时滞 鲁棒稳定 线性矩阵不等式(LMI) 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置]