一类分数阶不确定奇异系统的保成本控制  

Guaranteed cost control for a class of fractional order uncertain descriptor systems

作　　者：杨占英[1] 张杰 蔡明建[1] YANG Zhanying;ZHANG Jie;CAI Mingjian(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2020年第3期327-330,共4页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(11401595)。

摘　　要：研究了一类分数阶不确定奇异系统的保成本控制问题.基于系统规范化、Schur互补引理和Lyapunov函数的性质,提出了一种保成本控制策略,实现了系统的渐近稳定.最后,通过一个数值例子验证了该控制策略的有效性.The guaranteed cost control for a class of fractional order uncertain descriptor systems is investigated.Based on the normalization of systems,the Schur complementary lemma and the properties of Lyapunov function,a guaranteed cost control scheme is proposed to ensure the asymptotical stability of systems.Finally,a numerical example is given to demonstrate the effectiveness of the obtained scheme.

关 键 词：分数阶系统 奇异系统 保成本控制 渐近稳定 

分 类 号：O231[理学—运筹学与控制论]