不确定分数阶广义大系统的非脆弱分散控制器设计与仿真  

Non-fragile Decentralized Controller Design and Simulation for Uncertain Fractional-order Singular Large-scale Systems

作　　者：杨冬梅[1] 孙义兵 YANG Dongmei;SUN Yibing(School of Science,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学理学院,沈阳110819

出　　处：《鲁东大学学报（自然科学版）》2022年第4期329-336,共8页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(61673100)。

摘　　要：本文针对阶次0<α<1的不确定分数阶广义大系统,提出一种适用较大范围的非脆弱分散控制器的设计方法。基于对广义大系统特殊结构的分析,分别在加法和乘法控制器增益扰动下,利用矩阵不等式方法,推导出闭环系统容许的充分条件,设计了非脆弱分散控制器,并通过数值仿真说明该方法的有效性。In this paper, a design method of non-fragile decentralized controllers for uncertain fractional-order singular large-scale systems with commensurate order 0<α<1 was proposed.Based on analysis of the special structure of large-scale systems, under additive and multiplicative disturbances of controller gains, sufficient conditions for the existence of non-fragile decentralized controllers and their design methods of uncertain fractional-order singular large-scale systems were given by using Linear Matrix Inequalities.The effectiveness of the conclusions was illustrated by numerical simulation.

关 键 词：分数阶 广义大系统 容许性 非脆弱控制 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]