EXACT FINITE-DIMENSIONAL FILTERS VIA SYSTEMS REALIZATION FOR A CLASS OF DISCRETE-TIME NONLINEAR-SYSTEMS

被引：4

作者：

LEVINE, J ^{[1
]}

PIGNIE, G ^{[1
]}

机构：

[1] ECOLE NATL SUPER MINES PARIS,CTR AUTOMAT & INFORMAT,F-77305 FONTAINEBLEAU,FRANCE

来源：

SYSTEMS & CONTROL LETTERS | 1985年 / 5卷 / 06期

关键词：

CONTROL SYSTEMS; DISCRETE TIME - Theory - CONTROL SYSTEMS; NONLINEAR; -; Theory;

D O I：

10.1016/0167-6911(85)90065-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The authors obtain necessary and sufficient conditions for the existence of a finite-dimensional filter for the discrete-time nonlinear system ( SIGMA ) x//k// plus //1 equals f(x//k), y//k equals h(x//k) plus eta (x//k)v//k, k equals 0. 1,. . . . This system is distinguished by the absence of noise in the dynamics and by the correlation between the state and the intensity of noise in the observations. The necessary and sufficient condition provides an explicit formula for the minimal filter and various system-theoretic properties of ( SIGMA ) and of the minimal filter.

引用

页码：403 / 412

页数：10

共 15 条

[11] OPTIMAL NON-LINEAR ESTIMATION FOR A CLASS OF DISCRETE-TIME STOCHASTIC-SYSTEMS
MARCUS, SI
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (02) : 297 - 302
[12] ON THE IMMERSION OF A DISCRETE-TIME POLYNOMIAL ANALYTIC SYSTEM INTO A POLYNOMIAL AFFINE ONE
MONACO, S
NORMANDCYROT, D
[J]. SYSTEMS & CONTROL LETTERS, 1983, 3 (02) : 83 - 90
[13] Normand-Cyrot D., 1983, THESIS U PARIS SUD
[14] FINITE DIMENSIONAL FILTER SYSTEMS IN DISCRETE TIME.
Sawitzki, Guenther
[J]. Stochastics, 1981, 5 (1-2): : 107 - 114
[15] SONTAG ED, 1979, LECTURE NOTES CONTRO, V13

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