Fuzzy Observer-Based H 2 / H ∞ Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise-Reference-Cited by-同舟云学术

Fuzzy Observer-Based H 2 / H ∞ Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise

Published:2021-07-19 Issue: Volume:2021 Page:1-11
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Yang Wenxuan¹,Hou Ting²³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China

2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China

3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Abstract

A design method is established for the mixed

H_{2} / H_{\infty}

output-feedback control of stochastic nonlinear systems with multiplicative noise. Firstly, using T-S fuzzy rules, we obtain a fuzzy model to approximate the original nonlinear system. Then, by Schur’s complement, the suboptimal

H_{2} / H_{\infty}

output-feedback control design is transformed into a two-step convex optimization problem. A numerical example is given to show the effectiveness of the proposed method.