智能系统学报2017，Vol.12Issue(6)：899-905,7.DOI:10.11992/tis.201605012
切换系统的鲁棒二次公共Lyapunov函数矩阵寻找算法
Matrix search algorithm of robust common quadratic Lyapunov function for switched systems
摘要
Abstract
To obtain a searching algorithm for the common quadratic Lyapunov function (CQLF) of an uncertain switched system (SS), the concept of the common robust quadratic Lyapunov function (CRQLF) is proposed. In addi-tion, sufficient conditions for the CRQLF, and its corresponding recurrence search algorithm method in LMI forms, are obtained using a matrix inequality analysis when the stable matrix set is both involuntary and voluntary. These results enable easy computer implementation, and are valuable for making robust stability judgments of uncertain SSs. Further-more, the application simulation test certificates their validity.关键词
切换系统/不确定/公共Lyapunov函数/二次Lyapunov函数/控制/鲁棒/稳定/LMIKey words
switched system/uncertain/common Lyapunov function/quadratic Lyapunov function/control/robust/sta-bility/LMI分类
信息技术与安全科学引用本文复制引用
张晓宇,李平..切换系统的鲁棒二次公共Lyapunov函数矩阵寻找算法[J].智能系统学报,2017,12(6):899-905,7.基金项目
国家自然科学基金项目(61304024) （61304024）
河北省科技计划项目(15272118) （15272118）
中央高校基本科研业务费基金项目(3142017046,3142016022,3142015101). （3142017046,3142016022,3142015101）
