凸多面体不确定线性时滞系统鲁棒稳定性条件  

Robust Stability Conditions for Linear State Delayed Systems with Convex Polytopic-type Uncertainties

作　　者：赵岩峰[1] 陈东彦[1] 胡军[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2009年第A01期127-130,共4页Journal of Harbin University of Science and Technology

基　　金：基金项目：国家自然科学基金（10771047）

摘　　要：研究了凸多面体不确定连续时滞系统的鲁棒稳定性和镇定问题．通过选取适当的Lyapunov函数，采用参数依赖型Lyapunov泛函，消除了系统矩阵与Lyapunov矩阵的乘积项，得到了一个适用于具有凸多面体不确定性的连续时滞系统时滞相关鲁棒稳定条件．进而给出了相应的控制器设计方法．所得结果与已有文献相比较具有较少的保守性，数值算例说明了该方法的有效性．This paper researches the problem of robust stability and robust stabilization for continuous linear systems with convex polytopic-type uncertainties and state delays. A new delay-dependent robust stability condition is derived by using parameter-dependent Lyapunov functionals. The product terms between the Lyapunov matrices and the system matrices are eliminated, thus the Lyapunov matrices are allowed to be different for different vertices of the polytope. The obtained results are less conservative than some existing ones. The corresponding problem of robust stabilization is then investigated upon the proposed stability condition. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method.

关 键 词：时滞系统 凸多面体不确定性 线性矩阵不等式 鲁棒稳定 

分 类 号：O29[理学—应用数学]