Static-feedback guaranteed cost control for linear systems with outage and loss of effectiveness actuator faults  

作　　者：Chun-Hua Xie Zhe Li Yanli Zhou 

机构地区：[1]School of Electrical and Automation Engineering,East China Jiaotong University,Nanchang,People’s Republic of China [2]Key Laboratory of Advanced Control&Optimization of Jiangxi Province,Nanchang,People’s Republic of China [3]cCollege of Electrical and Information Engineering,Hunan University,Changsha,People’s Republic of China

出　　处：《Journal of Control and Decision》2022年第4期407-419,共13页控制与决策学报（英文）

基　　金：supported by the National Natural Science Foundation of China under Grants 61903141,61903132,61733005 and U2034211;the Natural Science Foundation of Jiangxi Province under Grants 20192BAB217008 and 20192ACBL21005.

摘　　要：This paper investigates the static-feedback guaranteed cost control problem for linear systems with actuator faults including outage and loss of effectiveness.Under the actuator redundancy condition,theoretical analysis shows that a static-feedback guaranteed cost controller can always be well designed to ensure that the resulting closed-loop system is stable with desirable quadratic performance.In particular,the feedback gain can be determined through the solution of a modified algebraic Riccati equation.Furthermore,extension to the system with uncertainties is further studied.Compared with the dynamic feedback controller,the static-feedback controller consists only of logical gates/modules and it does not require any memory element,and hence it is simplest in a design perspective.Different from the existing results,the severe and timevarying actuator outage faults can be handled very well by the proposed control strategy.Finally,simulation on a linearised reduced-order aircraft system is provided for verifying the theoretical results.

关 键 词：Static-feedback guaranteed cost control linear systems actuator outage faults algebraic Riccati equation 

分 类 号：O17[理学—数学]