Robust Strictly Passive Control of Uncertain Descriptor Systems
-
摘要: 讨论了不确定线性广义系统的严格无源性和严格无源控制问题.为了解决广义系统严格无源条件中的等式限制问题,通过引入松驰变量描述广义系统快变子系统与慢变子系统之间的代数关系,以严格线性矩阵不等式的形式,给出了广义系统严格无源的充分条件.基于该条件,设计了鲁棒严格无源控制器,并用具体实例说明所设计的控制器能保证闭环控制系统是严格无源的.
-
关键词:
- 广义系统 /
- 严格无源 /
- 线性矩阵不等式(LMI)
Abstract: The strictly passive realness and strictly passive control of an uncertain linear descriptor system was investigated.To solve the problem of equality restriction in strictly passive conditions of a descriptor system,the relationship between the fast and slow subsystems of a descriptor system was described by using a relaxed variable,and a new sufficient condition was presented to ensure that a descriptor system is strictly passive in terms of strict linear matrix inequality(LMI).Based on the sufficient condition,a robust strictly passive controller was designed and a numerical example was given to show the designed controller can ensure that a closed-loop system is strictly passive.-
Key words:
- descriptor system /
- strict passive /
- linear matrix inequality(LMI)
-
关新平,龙承念,段广仁.离散时滞系统的鲁棒无源控制[J].自动化学报,2002,28(1):146-149.GUAN Xinping,LONG Chennian,DUAN Guangren.Robust passive control for discrete time-delay systems[J].Acts Automatica Sinica,2002,28(1):146-149.[2] 张先明,吴敏.线性时滞系统的时滞相关无源控制[J].控制理论与应用,2005,22(3):391-401.ZHANG Xianmin,WU Min.Delay-dependent passive control for linear systems with delay[J].Control Theory and Applications,2005,22(3):391-401.[3] DAI L.Singular control systems[M].Germany:Spriuger-Verlag,1989.[4] 王翠红,黄天民,包晓英.非匹配不确定奇异系统变结构控制设计[J].西南交通大学学报,2007,42(6):675-679.WANG Cuihong,HUANG Tianmin,BAO Xiaoying.Design of variable structure control for mismatched uncertain singular systems[J].Journal of Southwest Jiaotong University,2007,42 (6):675-679.[5] 董心壮,张庆灵,赵立纯.线性广义系统的无源控制[J].生物数学学报,2004,19(2):185-187.DONG Xinzhuang,ZHANG Qingling,ZHAO Lichun.Passive control of linear singular systems[J].Journal of Biomathematies,2004,19(2):185-187.[6] 张秀华,张庆灵.线性广义系统的无源控制[J].控制与决策,2006,21(1):81-83.ZHANG Xiuhua,ZHANG Qingling.Passive control for linear singular systems[J].Control and Decision,2006,21 (1):81-83.[7] ZHANG Q L,LAM J and XU S Y.On positive realness of descriptor systems[J].IEEE Transactions on Circuits and Systems,2002,49(3):401-407.[8] XUS Y,LAM J.Lecture notes in control and information on robust control and filtering of singular systems[M].Berlin:Springer-Verlag,2006.[9] FRIDMAN E,SHAKED U.A descriptor system approach to control of linear time-delay systems[J].IEEE Transactions on Automatic Control,2002,47 (2):253-279.[10] MASUBUCHI I,KAMITANE Y,OHARA A,et al.control for descriptor systems:a matrix inequalities approach[J].Automatica,1997,33(4):669-673.[11] PETERSEN I R.A stabilization algorithm for a class of uncertain linear systems[J].System and Control Letter,1987,8(4):351-357.[12] SUNW,KHARGONEKAR P P,SHIM D.Solution to the positive real control problem for linear time-invariant systems[J].IEEE Transactions on Automatic Control,1994,39(10):2034-2046.[13] CAO Y,LIN Z.A descriptor system approach to robust stability analysis and controller synthesis[J].IEEE Transactions on Automatic Control,2004,49 (11):2081-2084.
点击查看大图
计量
- 文章访问数: 1597
- HTML全文浏览量: 62
- PDF下载量: 479
- 被引次数: 0