| 引用本文: | 张建成,王艳.线性描述系统有限时间函数观测器设计及存在性讨论[J].控制理论与应用,2022,39(2):263~275.[点击复制] |
| ZHANG Jian-cheng,WANG Yan.On finite-time functional observer design and existence condition analysis for linear descriptor systems[J].Control Theory and Technology,2022,39(2):263~275.[点击复制] |
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| 线性描述系统有限时间函数观测器设计及存在性讨论 |
| On finite-time functional observer design and existence condition analysis for linear descriptor systems |
| 摘要点击 2329 全文点击 659 投稿时间：2021-02-20 修订日期：2021-12-12 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2021.10145 |
| 2022,39(2):263-275 |
| 中文关键词 线性描述系统 有限时间观测器 函数观测器 充分必要条件 |
| 英文关键词 linear descriptor system finite-time observer functional observers necessary and sufficient conditions |
| 基金项目 国家自然科学基金项目(61803181, 61973138), 中国博士后科学基金项目(2019M651695), 江南大学自主科研项目(JUSRP11948)资助. |
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| 中文摘要 |
| 本文针对线性描述系统研究了其有限时间函数观测器的设计方法和存在条件. 首先, 通过构造两个结构上
完全相同的渐近收敛观测器得到了一个新的有限时间函数观测器, 它可以在任意给定的时间内达到对目标函数的
精确估计, 且估计精度和收敛时间不依赖于原系统的初始条件. 随后, 对该函数观测器的存在条件进行了详细讨论,
给出了函数观测器存在的充分必要条件. 该条件用系统原始矩阵表示, 易于检验. 最后, 数值仿真验证了所提方法的
有效性. |
| 英文摘要 |
| This paper considers finite-time functional observer designs for linear descriptor systems. First, by developing
two identical asymptotic convergence functional observers, a new finite-time functional observer is constructed, which can
achieve an exact estimation of the function within an arbitrarily prescribed time, and both the estimation accuracy and the
convergence time can be guaranteed regardless of whatever the initial values of the original system are. Also, the necessary
and sufficient conditions for the existence of the observer are discussed in detail, and given in terms of the original system
matrices which are easy to examine. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed
methods. |
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