State estimation for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays

被引：114

作者：

Hu, Jun ^{[1
,2
]}

Chen, Dongyan ^{[1
]}

Du, Junhua ^{[3
]}

机构：

[1] Harbin Univ Sci & Technol, Dept Appl Math, Harbin, Peoples R China

[2] Univ Kaiserslautern, Dept Elect & Comp Engn, D-67663 Kaiserslautern, Germany

[3] Qiqihar Univ, Coll Sci, Qiqihar, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2014年 / 43卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

state estimation; distributed sensor delays; randomly occurring uncertainties; discrete nonlinear systems; TIME COMPLEX NETWORKS; STOCHASTIC NONLINEARITIES; SATURATIONS;

D O I：

10.1080/03081079.2014.892251

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, the state estimation problem is investigated for a class of discrete nonlinear systems with randomly occurring uncertainties and distributed sensor delays. The norm-bounded uncertainties enter into the system in a randomly way, and such randomly occurring uncertainties (ROUs) obey certain Bernoulli distributed white noise sequence with known conditional probability. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions are proposed to guarantee the convergence of the estimation error for all discrete time-varying delays, ROUs and distributed sensor delays. Subsequently, the explicit form of the estimator parameter is derived by solving two linear matrix inequalities (LMIs) which can be easily tested by using standard numerical software. Finally, a simulation example is given to illustrate the feasibility and effectiveness of the proposed estimation scheme.

引用

页码：387 / 401

页数：15

共 38 条

[1] Moving-horizon state estimation for nonlinear discrete-time systems: New stability results and approximation schemes [J].

Alessandri, Angelo ;

Baglietto, Marco ;

Battistelli, Giorgio .

AUTOMATICA, 2008, 44 (07) :1753-1765

[2] Robust state estimation for discrete-time genetic regulatory network with random delays [J].

Balasubramaniam, P. ;

Banu, L. Jarina .

NEUROCOMPUTING, 2013, 122 :349-369

[3]

Basin M. V., 2011, INT J SYST SCI, V39, P547

[4] Joint state filtering and parameter estimation for linear stochastic time-delay systems [J].

Basin, Michael ;

Shi, Peng ;

Calderon-Alvarez, Dario .

SIGNAL PROCESSING, 2011, 91 (04) :782-792

[5] Optimal Filtering for Incompletely Measured Polynomial Systems with Multiplicative Noise [J].

Basin, Michael ;

Calderon-Alvarez, Dario .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (02) :223-239

[6]

Caballero-Aguila R., COMPUTERS MATH APPL, V58, P1160

[7] Diffusion Strategies for Distributed Kalman Filtering and Smoothing [J].

Cattivelli, Federico S. ;

Sayed, Ali H. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (09) :2069-2084

[8] Stability analysis for closed-loop management of a reservoir based on identification of reduced-order nonlinear model [J].

Chen, Yingying ;

Hoo, Karlene A. .

SYSTEMS SCIENCE & CONTROL ENGINEERING, 2013, 1 (01) :12-19

[9] A novel real-time adaptive suboptimal recursive state estimation scheme for nonlinear discrete dynamic systems with non-Gaussian noise [J].

Demirbas, Kerim .

DIGITAL SIGNAL PROCESSING, 2012, 22 (04) :593-604

[10]

Dimassi H, 2012, IEEE DECIS CONTR P, P2346, DOI 10.1109/CDC.2012.6426865

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