关于变周期采样系统稳定性分析的新Lyapunov泛函方法  

Lyapunov functional approach to stability of sampled-data systems under aperiodic sampling

作　　者：邵汉永[1,2] 赵建荣[1,2] 张丹[1,2] 

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165 [2]曲阜师范大学工学院,山东日照276826

出　　处：《控制与决策》2017年第1期167-170,共4页Control and Decision

基　　金：国家自然科学基金面上项目(61374090);山东省高等院校科研创新团队项目;山东省泰山学者人才工程项目

摘　　要：采用一种新的Lyapunov泛函,分析变周期采样系统的渐近稳定性.通过引入状态积分以及该积分与采样状态的交叉项,构造一个Lyapunov泛函,利用最新报道的改进的Jensen不等式估计该Lyapunov泛函的导数,导出变周期采样系统的渐近稳定性结果.仿真结果表明,所给出的稳定性结果具有较小的保守性.A new Lyapunov functional is used to analyze the asymptotic stability of sampled-data systems under aperiodic sampling. A Lyapunov functional is constructed by introducing the integral of the state and the cross term of this integral and the sampling state. The improved Jensen inequality reported recently is used to estimate the derivative of the Lyapunov functional. A new asymptotic stability result is obtained for the sampled-data systems under aperiodic sampling. The simulation results show that the proposed result has less conservatism than some existing ones.

关 键 词：渐近稳定 采样系统 线性矩阵不等式 LYAPUNOV泛函 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]