ROBUST STABILITY ANALYSIS OF KALMAN-BUCY FILTER UNDER PARAMETRIC AND NOISE UNCERTAINTIES

被引:9
作者
CHEN, BS [1 ]
DONG, TY [1 ]
机构
[1] NATL CHIAO TUNG UNIV,INST CONTROL ENGN,HSINCHU,TAIWAN
关键词
Control Systems--Robustness - Noise; Spurious Signal - System Stability;
D O I
10.1080/00207178808906324
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 linear Kalman-Bucy filter with both uncertain second-order statistical noise properties and uncertain system model parameters is considered. We investigate the conditions for robust stability based on the upper norm-bound of noise and parametrical uncertainties. Saddlepoint theory and the Gronwall lemma are employed to solve this problem.
引用
收藏
页码:2189 / 2199
页数:11
相关论文
共 9 条
[1]   EXPONENTIAL DATA WEIGHTING IN KALMAN-BUCY FILTER [J].
ANDERSON, BD .
INFORMATION SCIENCES, 1973, 5 :217-230
[2]  
Desoer C. A., 1975, FEEDBACK SYSTEMS INP
[3]  
Kalman RE., 1961, T ASME D, V83, P95, DOI [DOI 10.1115/1.3658902, 10.1115/1.3658902]
[4]   TWO-DIMENSIONAL FILTERS FOR SIGNAL-PROCESSING UNDER MODELING UNCERTAINTIES [J].
KASSAM, SA ;
LIM, TL ;
CIMINI, LJ .
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 1980, 18 (04) :331-336
[5]   KALMAN FILTER - ROBUST ESTIMATOR FOR SOME CLASSES OF LINEAR QUADRATIC PROBLEMS [J].
MORRIS, JM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1976, 22 (05) :526-534
[6]   BOUNDING FILTER - SIMPLE SOLUTION TO LACK OF EXACT A PRIORI STATISTICS [J].
NAHI, NE ;
WEISS, IM .
INFORMATION AND CONTROL, 1978, 39 (02) :212-224
[7]   MINIMAX STATE ESTIMATION FOR LINEAR STOCHASTIC-SYSTEMS WITH NOISE UNCERTAINTY [J].
POOR, V ;
LOOZE, DP .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) :902-906
[8]   RECURSIVE FADING MEMORY FILTERING [J].
SORENSON, HW ;
SACKS, JE .
INFORMATION SCIENCES, 1971, 3 (02) :101-&
[9]  
VIDYASAGAR M, 1978, NONLINEAR SYSTEMS AN