中国科学技术大学学报
中國科學技術大學學報
중국과학기술대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
2012年
8期
670-679
,共10页
饱和执行器%离散马尔可夫跳跃奇异系统%不确定性%H∞控制%线性矩阵不等式
飽和執行器%離散馬爾可伕跳躍奇異繫統%不確定性%H∞控製%線性矩陣不等式
포화집행기%리산마이가부도약기이계통%불학정성%H∞공제%선성구진불등식
actuator saturation%discrete-time descriptor Markov jump system%uncertainty%H∞control%LMI
讨论了含饱和执行器的不确定离散马尔可夫跳跃奇异系统的鲁棒H∞控制问题.首先,给出了一个保证离散马尔可夫跳跃奇异系统正则、因果、有界状态稳定且满足H∞性能的充分条件.然后,在此条件下,解决了不确定系统的鲁棒H∞饱和控制问题,并基于线性矩阵不等式(LMI),给出了鲁棒H∞状态反馈控制器的设计方法.最后,用一个数值算例验证了本文方法的有效性.
討論瞭含飽和執行器的不確定離散馬爾可伕跳躍奇異繫統的魯棒H∞控製問題.首先,給齣瞭一箇保證離散馬爾可伕跳躍奇異繫統正則、因果、有界狀態穩定且滿足H∞性能的充分條件.然後,在此條件下,解決瞭不確定繫統的魯棒H∞飽和控製問題,併基于線性矩陣不等式(LMI),給齣瞭魯棒H∞狀態反饋控製器的設計方法.最後,用一箇數值算例驗證瞭本文方法的有效性.
토론료함포화집행기적불학정리산마이가부도약기이계통적로봉H∞공제문제.수선,급출료일개보증리산마이가부도약기이계통정칙、인과、유계상태은정차만족H∞성능적충분조건.연후,재차조건하,해결료불학정계통적로봉H∞포화공제문제,병기우선성구진불등식(LMI),급출료로봉H∞상태반궤공제기적설계방법.최후,용일개수치산례험증료본문방법적유효성.
The robust H∞ control problem for uncertain discrete-time Markov jump descriptor systems with actuator saturation is considered.Firstly,a sufficient condition is obtained which guarantees that the discrete-time Markov jump descriptor systems with actuator saturation are regular,causal,bounded state stable and satisfy the H∞ performance.Secondly,the robust H∞control for uncertain systems is solved and the design method of robust H∞ state feedback controller is developed based on linear matrix inequality(LMI)technique.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.
