| 引用本文: | 张秀华, 张庆灵.微分代数系统的无源性[J].控制理论与应用,2005,22(5):834~836.[点击复制] |
| ZHANG Xiu-hua,ZHANG Qing-ling.Passivity for differential-algebraic systems[J].Control Theory and Technology,2005,22(5):834~836.[点击复制] |
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| 微分代数系统的无源性 |
| Passivity for differential-algebraic systems |
| 摘要点击 2132 全文点击 1070 投稿时间：2004-04-15 修订日期：2004-11-22 |
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| DOI编号 10.7641/j.issn.1000-8152.2005.5.033 |
| 2005,22(5):834-836 |
| 中文关键词 微分代数系统 无源性 M导数 存储函数 |
| 英文关键词 differential-algebraic system passivity M derivative storage function |
| 基金项目 辽宁省普通高校学科带头人基金资助项目(124210);辽宁省科技基金资助项目(2001401041) |
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| 中文摘要 |
| 考察了微分代数系统的无源性的控制问题.提出了微分代数系统无源的定义以及KYP特性的定义.利用类似微分几何理论的方法,通过引入微分代数系统的M导数,推出了微分代数系统无源与KYP特性等价的定理和微分代数系统无源性的充分必要条件.最后给出了无源控制器存在的条件.M导数的方法可以看作是L导数方法的延伸.本文所获得的一系列结果,使来自于物理系统的无源概念与控制理论有机结合起来. |
| 英文摘要 |
| The passive control problem for differential-algebraic systems is investigated.The passive definition of differential-algebraic systems and KYP property definition are proposed.Similar to methods of differential geometry theory,equivalent theorem between differential-algebraic systems' passivation and KYP property was given,the necessary and sufficient passive condition for differential-algebraic systems is given by introducing M derivative.In the end,the condition of passive controller existence is presented.M derivative method can be considered as extension of L derivative method.A series of results are obtained,which combines passive concept coming from physical systems with control theory. |