Observer-based control for fractional-order singular systems with orderα(0<α<1)and input delay  

作　　者：Bingxin LI Xiangfei ZHAO Xuefeng ZHANG Xin ZHAO 

机构地区：[1]Institute of Robotics and Automatic Information System,Nankai University,Tianjin 300071,China [2]Tianjin Key Laboratory of Intelligent Robotics,Nankai University,Tianjin 300071,China [3]College of Sciences,Northeastern University,Shenyang 110819,China [4]Shenzhen Research Institute of Nankai University,Shenzhen 518083,China

出　　处：《Frontiers of Information Technology & Electronic Engineering》2022年第12期1862-1870,共9页信息与电子工程前沿（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.U1813210,62027812,and 62273185)。

摘　　要：In this paper,observer-based control for fractional-order singular systems with orderα(0<α<1)and input delay is studied.On the basis of the Smith predictor and approximation error,the system with input delay is approximately equivalent to the system without input delay.Furthermore,based on the linear matrix inequality(LMI)technique,the necessary and sufficient condition of observer-based control is proposed.Since the condition is a nonstrict LMI,including the equality constraint,it will lead to some trouble when solving problems using toolbox.Thus,the strict LMI-based condition is improved in the paper.Finally,a numerical example and a direct current motor example are given to illustrate the effectiveness of the strict LMI-based condition.

关 键 词：Observer-based control Singular systems Fractional order Input delay Linear matrix inequality 

分 类 号：O23[理学—运筹学与控制论]