H∞ Filtering for Nonhomogeneous Markovian Jump Repeated Scalar Nonlinear Systems With Multiplicative Noises and Partially Mode-Dependent Characterization

被引：47

作者：

Hua, Mingang ^{[1
]}

Zheng, Dandan ^{[1
]}

Deng, Feiqi ^{[2
]}

Fei, Juntao ^{[1
]}

Cheng, Pei ^{[3
]}

Dai, Xisheng ^{[4
]}

机构：

[1] Hohai Univ, Coll Internet Things Engn, Changzhou 213022, Peoples R China

[2] South China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Peoples R China

[3] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[4] Guangxi Univ Sci & Technol, Sch Elect & Informat Engn, Liuzhou 545006, Peoples R China

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2021年 / 51卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Multiplicative noises; nonhomogeneous Markovian process; partially mode-dependent (PM) H-infinity filtering; repeated scalar nonlinearities; TIME LINEAR-SYSTEMS; TRACKING CONTROL; STABILIZATION; DESIGN; L(2); NETWORKS;

D O I：

10.1109/TSMC.2019.2919146

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 investigates the H-infinity filtering problem for nonhomogeneous Markovian jump repeated scalar nonlinear systems with multiplicative noises and partially mode-dependent (PM) characterization. A new PM H-infinity filter is proposed, which guarantees the stochastic stability of the filtering error systems. The transition probabilities (TPs) of the nonhomogeneous Markovian process are assumed to be polytopic and the probability for successful transmission of mode information is characterized by a Bernoulli distributed sequence. By constructing the Lyapunov functional method, the existence conditions of filter are presented. Finally, the efficiency of the obtained results for PM H-infinity filter are demonstrated by an economic system example.

引用

页码：3180 / 3192

页数：13

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