| 线性描述系统有限时间函数观测器设计及存在性讨论 |
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| 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 |
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| 作者姓名： | 张建成 王艳 |
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| 作者单位： | 江南大学理学院,江苏无锡214122;江南大学物联网工程学院,江苏无锡214122 |
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| 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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| 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...
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| 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 |
| 收稿时间： | 2021-02-20 |
| 修稿时间： | 2021-12-12 |
On finite-time functional observer design and existence condition analysis for linear descriptor systems |
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| ZHANG Jian-cheng and WANG Yan. On finite-time functional observer design and existence condition analysis for linear descriptor systems[J]. Control Theory & Applications, 2022, 39(2): 263-275 |
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| Authors: | ZHANG Jian-cheng and WANG Yan |
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| Affiliation: | School of Science, Jiangnan University,School of IoT and Engineering, Jiangnan University |
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| Abstract: | This paper considers finite-time functional observer designs for linear descriptor systems. First, by developingtwo identical asymptotic convergence functional observers, a new finite-time functional observer is constructed, which canachieve an exact estimation of the function within an arbitrarily prescribed time, and both the estimation accuracy and theconvergence time can be guaranteed regardless of whatever the initial values of the original system are. Also, the necessaryand sufficient conditions for the existence of the observer are discussed in detail, and given in terms of the original systemmatrices which are easy to examine. Finally, a numerical simulation is given to illustrate the effectiveness of the proposedmethods. |
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| Keywords: | linear descriptor system finite-time observer functional observers necessary and sufficient conditions |
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