Input-output finite-time stability of time-varying linear singular systems  

作　　者：Juan YAO Jun-e FENG Lin SUN Yu ZHENG 

机构地区：[1]School of Mathematics,Shandong University,Jinan Shandong 250100,China

出　　处：《控制理论与应用（英文版）》2012年第3期287-291,共5页

基　　金：supported by the National Natural Science Foundation of China(Nos.60974137,61174141,61004005,61074070);the Research Awards Fund for Outstanding Young and Middle-Aged Scientists of Shandong Province(Nos.BS2011SF009,BS2011DX019);the Independent Innovation Foundation of Shandong University(Nos.IIFSDU2009TS085,2010TS007)

摘　　要：This paper studies the input-output finite-time stabilization problem for time-varying linear singular sys- tems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of dis- turbance inputs are considered, which belong to L-two and L-infinity. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.This paper studies the input-output finite-time stabilization problem for time-varying linear singular sys- tems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of dis- turbance inputs are considered, which belong to L-two and L-infinity. Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.

关 键 词：Differential linear matrix inequality Finite-time stability INPUT-OUTPUT Linear singular system 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN646[自动化与计算机技术—控制科学与工程]