Question

数学专业英语论文翻译（不要在线翻译的）

本文出自原版外籍论文，希望能帮忙翻译下，谢谢大家的帮忙，一定会给追加分的
The problem of estimation consists of finding an asymptotically stable estimator to estimate the desired signals. The main advantage of H estimation approach is the fact that it is insensitive to the exact knowledge of the statistics of the noise signals. When the system under consideration is subject to uncertainties, robust H filtering can provide powerful signal estimation. The aim of robust H estimation is to design an estimator such that the resulted error system is asymptotically stable and the L -induced gain related with the disturbance and the estimation error is less than a prescribed level irrespective of uncertainties [1-3].
In this paper, we consider the problem of robust H estimation for continuous-time single state-delayed systems with polytopic uncertainties. Before solving the problem of robust H estimation, based on an existing result in [11] an improved LMI representation of H performance, which realizes the separation between the positive definite matrices and the system matrices, is firstly given by introducing two slack matrices. Based on the newly proposed criterion, we provide the procedure of designing robust H estimators for polytopic uncertain time-delay systems.
The problem of robust H estimation for the polytopic uncertain linear system with state delay is considered. Firstly, by introducing two auxiliary matrices a new LMI representation of H performance is presented for the linear systems with a single time-varying state delay. The proposed criterion exhibits a kind of separation between the system matrices and the positive definite Lyapunov matrices. So the vertex-dependent Lyapunov functions can be adopted, and thus a less conservative result is expected to be obtained.

Answer 1

这个问题,包括找到一个估计量估算渐近稳定所需的信号。主要利用H估计方法的事实是,它是不确切的了解统计出来的噪音信号。当系统正在考虑的是不确定性,具有较强的鲁棒性提供了强有力的信号滤波H的估计。具有较强的鲁棒性的目标是设计一个H估计误差估计,导致系统渐近稳定且获得有关信用证引起的骚乱和估计误差小于水平无关的不确定性(1-3]。
在这篇文章中,我们考虑的问题,具有较强的鲁棒性state-delayed H估计系统连续多面体不确定性单一。解决这一问题的前一小时,基于现有评价结果提出了一种改进的矩阵不等式[11],H代表实现绩效之间的分离、正定矩阵系统矩阵,首先给出了矩阵引入两个松弛。新准则的基础上,我们提供的程序设计鲁棒H估计多面体不确定时滞系统。
具有较强的鲁棒性问题,H估计线性系统多面体不确定状态延迟。首先,介绍了两种辅助矩阵表示的新LMI表现了一个单一的时变线性系统状态延迟。提出了一种标准的展品的系统矩阵间的分离、正定李雅普诺夫函数矩阵。所以vertex-dependent李雅普诺夫函数可以被采用,因而较保守的结果有望获得了。