Optimal quadratic filtering of linear discrete-time non-Gaussiansystems

De Santis A.; Germani A.; Raimondi M.

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Optimal quadratic filtering of linear discrete-time non-Gaussiansystems

机译：线性离散时间非高斯系统的最佳二次滤波

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In this work, the state estimation problem for linear discrete-time systems with non-Gaussian state and output noises is dealt with. By following a geometric approach, an optimal recursive second-order polynomial estimate is proposed, which actually improves the widely used optimal linear one

机译：在这项工作中，处理具有非高斯状态和输出噪声的线性离散时间系统的状态估计问题。通过一种几何方法，提出了一种最优的递归二阶多项式估计，它实际上改善了广泛使用的最优线性估计。

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《IEEE Transactions on Automatic Control》 |1995年第7期|p.1274-1278|共5页
作者
De Santis A.; Germani A.; Raimondi M.;
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正文语种 eng
中图分类自动化系统;
关键词
discrete time systems; filtering theory; linear systems; polynomials; recursive estimation; state estimation; geometric approach; linear discrete-time nonGaussian systems; optimal quadratic filtering; optimal recursive second-order polynomial estimate; state estim;

机译：离散时间系统;滤波理论;线性系统;多项式;递归估计;状态估计;几何方法;线性离散时间非高斯系统;最优二次滤波;最优递归二阶多项式估计;状态估计;

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专利

1. Optimal quadratic filtering of linear discrete-time non-Gaussian systems [J] . De Santis A., Germani A. IEEE Transactions on Automatic Control . 1995,第7期

机译：线性离散时间非高斯系统的最优二次滤波
2. On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for Robust H-infinity Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties [J] . Pang Guochen, Zhang Kanjian Advances in Mathematical Physics . 2015,第Pta1期

机译：具有多变量不确定性的切换线性离散时间系统的鲁棒H无限滤波设计的均质参数相关二次Lyapunov函数
3. On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for RobustH∞Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties [J] . GuochenPang, KanjianZhang Advances in Mathematical Physics . 2015,第4期

机译：具有多变量不确定性的线性切换离散系统的鲁棒H∞滤波设计的均质参数相关二次Lyapunov函数
4. Linear Quadratic Optimal Control for Discrete-time Markov Jump Linear Systems* [C] . Chunyan Han, Hongdan Li, Wei Wang, IEEE International Conference on Control and Automation . 2018

机译：离散马尔可夫跳跃线性系统的线性二次最优控制*
5. A Sequential Linear Quadratic Approach for Constrained Nonlinear Optimal Control with Adaptive Time Discretization and Application to Higher Elevation Mars Landing Problem [D] . Sandhu, Amit 2015

机译：具有自适应时间离散化的约束非线性最优控制的序贯线性二次方法及其在高海拔火星着陆问题中的应用
6. Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems [O] . Mengjuan Cao, Fucheng Liao -1

机译：线性离散时间非因果多速率系统的最优预览控制器设计
7. On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for RobustH∞Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties [O] . Guochen Pang, Kanjian Zhang 2015

机译：具有多孔不确定性的开关线性离散时间系统中具有多种参数依赖性二次Lyapunov函数的互相参数依赖性二次Lyapunov函数

Optimal quadratic filtering of linear discrete-time non-Gaussiansystems

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