| 引用本文: | 叶华文,戴冠中,王 红.关于Sontag-Type控制的注记[J].控制理论与应用,2003,20(6):865~869.[点击复制] |
| YE Hua-wen,DAI Guan-zhong,WANG Hong.Notes on Sontag-Type control[J].Control Theory and Technology,2003,20(6):865~869.[点击复制] |
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| 关于Sontag-Type控制的注记 |
| Notes on Sontag-Type control |
| 摘要点击 1696 全文点击 1485 投稿时间：2001-07-13 修订日期：2003-05-12 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.6.010 |
| 2003,20(6):865-869 |
| 中文关键词 控制李雅普诺夫函数 变结构控制 零状态可检测 鲁棒镇定 |
| 英文关键词 control Lyapunov function variable structure control zero-state-detectability robust stabilization |
| 基金项目 国家自然科学基金项目(19771066); 西北工业大学重点学科建设项目. |
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| 中文摘要 |
| 基于控制李雅普诺夫函数的Sontag-Type控制是仿射系统鲁棒镇定中的重要控制律.首先揭示该控制律本质上是一种变结构控制且闭环的切换面总可达,受此启发并为了相对容易地构造控制李雅普诺夫函数,运用零状态可检测概念定义弱控制李雅普诺夫函数,并证明了基于弱控制李雅普诺夫函数的Sontag-Type控制的优化镇定性.文中还证明,在温和条件下,基于弱控制李雅普诺夫函数的Sontag＿Type控制为仿射系统的输入到状态镇定控制. |
| 英文摘要 |
| The Sontag-Type control based on the control Lyapunov function (CLF) is an important control law in robust stabilization of affine systems. Firstly, the authors pointed out that this control law is essentially a kind of variable structure control and that the switch surfaces of the resulted closed-loop are always reachable. Motivated by this and in order to comparatively easily construct CLFs, the authors defined the weak control Lyapunov function (WCLF) by using the concept of zero-state-detectability and then proved the optimal stabilization property of the Sontag-Type control based on the WCLF. Finally, the authors proved that the Sontag-Type control based on the the WCLF is an input-to-state stabilizer of the affine system under a mild condition. |