Observer-Based Finite-Time Fuzzy H8 Control for Markovian Jump Systems with Time-Delay and Multiplicative Noises

被引：4

作者：

Liu, Xikui ^{[1
,2
]}

Wei, Xuexue ^{[1
]}

Li, Yan ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[2] Shandong Univ Sci & Technol, Jinan 250031, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2023年 / 25卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Finite-time boundedness; H-8; control; Observer-based state feedback controller; Markovian jump; systems; T-S fuzzy model; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILITY; STABILIZATION;

D O I：

10.1007/s40815-023-01463-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the observer-based finite-time Hoo control (OFTHC) issue is considered for a category of nonlinear discrete-time Markovian jump systems (DMJSs) with multiplicative noises and time-delay. The nonlinear object is described via linear Takagi Sugeno (T-S) fuzzy model (TSFM). State feedback is an effective method to realize system control, which requires all states to be measurable. In the presence of the system state is not fully measurable, an observer-based state feedback controller (OSFC) represented by TSFM is designed via the parallel distributed compensation (PDC) method. By applying Lyapunov functional and linear matrix inequality (LMI) methods, sufficient criteria are given, which guarantee the resulting closed-loop systems (CLSs) finite-time boundedness (FTB) with a specified Hoo attenuation level. Finally, numerical simulations are employed to prove the feasibility of the developed techniques.

引用

页码：1643 / 1655

页数：13

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