Parameter estimation on linear time-varying systems

被引：4

作者：

Andrade Souza, Luiz Claudio ^{[1
]}

Palhares, Reinaldo Martinez ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG, Brazil

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 04期

关键词：

STATE-FEEDBACK; STABILITY; INTERPOLATION; DESIGN;

D O I：

10.1016/j.jfranklin.2011.02.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies parameter estimation for a class of linear, continuous, time-varying dynamic systems whose state-space model's matrices are affine combinations of static matrix coefficients and the aforementioned time-varying scalar parameters. It is assumed that the coefficient matrices are all known, that the state is mensurable, and that the parameters are bounded piecewise continuous functions of time. Estimation methods are developed from basic equations for a single parameter first, and later extended to multiple parameters. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：777 / 789

页数：13

共 50 条

[1] Parameter set estimation algorithms for time-varying systems
Watkins, J
Yurkovich, S
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1997, 66 (05) : 711 - 731
[2] Estimation of stability of oscillations of linear time-varying systems with one time-varying parameter with calculation of influence of higher frequency motions
Mandrik A.V.
[J]. Automatic Control and Computer Sciences, 2017, 51 (3) : 141 - 148
[3] B-Splines in Joint Parameter and State Estimation in Linear Time-Varying Systems
Sridhar, Deepak
Ghoshal, Debarshi Patanjali
Michalska, Hannah
[J]. 2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 3508 - 3513
[4] Time-domain estimation of time-varying linear systems
Chiann, C
Morettin, PA
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2005, 17 (03) : 365 - 383
[5] Algebraic State Estimation For Linear Time-Varying Systems
Tian, Y.
Wang, H. P.
Floquet, T.
[J]. CONTROL ENGINEERING AND APPLIED INFORMATICS, 2015, 17 (01): : 52 - 60
[6] Hybrid Constrained Estimation For Linear Time-Varying Systems
Berkane, Soulaimane
Tayebi, Abdelhamid
Teel, Andrew R.
[J]. 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 4643 - 4648
[7] Adaptive estimation of time-varying parameters in linear systems
Zhu, YL
Pagilla, PR
[J]. PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 4167 - 4172
[8] State Estimation for Linear Time-Varying Observation Systems
Astrovskii, A. I.
Gaishun, I. V.
[J]. DIFFERENTIAL EQUATIONS, 2019, 55 (03) : 363 - 373
[9] State Estimation for Linear Time-Varying Observation Systems
A. I. Astrovskii
I. V. Gaishun
[J]. Differential Equations, 2019, 55 : 363 - 373
[10] Parameter estimation for a class of time-varying systems with the invariant matrix
Xu, Ning
Ding, Feng
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (03) : 2163 - 2181

← 1 2 3 4 5 →