不确定广义分数阶系统的鲁棒镇定性  

Robust stabilization of uncertain singular fractional order systems

作　　者：张雪峰[1] 靳凯净 ZHANG Xuefeng;JIN Kaijing(College of Sciences,Northeastern University,110819,Shenyang,Liaoning,PRC)

机构地区：[1]东北大学理学院,辽宁省沈阳市110819

出　　处：《曲阜师范大学学报（自然科学版）》2020年第3期55-62,共8页Journal of Qufu Normal University(Natural Science)

摘　　要：不确定广义分数阶系统的容许性和鲁棒镇定性问题是困难但有趣的.该文首先,应用状态反馈控制器,给出了闭环系统鲁棒镇定的充分条件.接下来,应用矩阵的奇异值分解和线性矩阵不等式技术,得到了一个基于静态输出反馈控制器的新的镇定性结果,它具有线性矩阵不等式的形式.最后,通过两个数值例子来验证该文所提出的方法的有效性.Admissibility and robust stabilization issues for uncertain singular fractional order systems(SFOSs)are difficult and interesting.In this paper,firstly,for the closed-loop system,the sufficient condition of robust stabilization is presented by applying state feedback controller.Next,on account of the way of singular value decomposition(SVD)of matrix and linear matrix inequality(LMI)technique,a new result in the form of LMI is developed by the static output feedback controller for the SFOSs.Finally,two numerical examples are given to verify the effectiveness of the proposed methods.

关 键 词：广义分数阶系统 容许性 状态反馈控制 输出反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]