Necessary and sufficient conditions for normalization and sliding mode control of singular fractional-order systems with uncertainties  

作　　者：Bo MENG Xinhe WANG Ziye ZHANG Zhen WANG 

机构地区：[1]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266500,China

出　　处：《Science China(Information Sciences)》2020年第5期183-192,共10页中国科学（信息科学）（英文版）

基　　金：National Natural Science Foundation of China(Grant No.61573008);Natural Science Foundation of Shandong Province(Grant No.ZR2016FM16);Post-Doctoral Applied Research Projects of Qingdao(Grant No.2015122)。

摘　　要：The sliding mode control(SMC) problem for a normalized singular fractional-order system(SFOS) with matched uncertainties was investigated. Firstly, SFOS was normalized under constrained conditions. Then, the linear sliding mode(SM) function was designed using a fractional-order(FO) positive definite matrix and a linear matrix inequality(LMI). The SM controller was subsequently constructed based on switching laws. Finally, the feasibility of the method was evaluated using a numerical example.

关 键 词：SLIDING mode control NORMALIZATION FRACTIONAL-ORDER positive definite matrix SINGULAR FRACTIONAL-ORDER systems UNCERTAINTIES 

分 类 号：O231[理学—运筹学与控制论]