Robust decentralized control of perturbed fractional-order linear interconnected systems via LMI approach
作者单位：School of Sciences Northeastern University School of Mechanical Engineering and Automation Northeastern University
会议名称：《第30届中国控制与决策会议》
会议日期：2018年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程]
基 金：supported by National Nature Science Foundation under Grant 61673094
关 键 词：Decentralized control Fractional-order system Robust stabilization Linear matrix inequalities
摘 要：This paper devotes to studying the problem of decentralized control for a class of interconnected fractionalorder uncertain systems. The necessary condition of robust stabilization is obtained. When there is no uncertainty, a simpler condition is derived. Both the conditions for certain and uncertain systems are expressed in terms of linear matrix inequalities（LMIs） which can be easily calculated with feasible solution problem by MATLAB LMI toolbox. The state feedback controller which guarantees the closed-loop system asymptotically stabilization can be designed. Furthermore,two examples for normal and perturbed system are given to demonstrate the effectiveness of the results respectively. And the state figures are obtained through simulink toolbox to verify the feasibility of the designed feedback controller.