Fuzzy Observer-Based H2/H∞ Output-Feedback Control for Stochastic Nonlinear Systems with Multiplicative Noise

A design method is established for the mixed H2/H∞ 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 H2/H∞ output-feedbac...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2021
Main Authors Yang, Wenxuan, Hou, Ting
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
Hindawi Limited
Subjects
Closed loop systems
Control systems
Control theory
Controllers
Convex analysis
Convexity
Design techniques
Engineering
Feedback control
Fuzzy sets
H-infinity control
Noise
Nonlinear control
Nonlinear systems
Optimization
Output feedback
R&D
Research & development
Robust control
Stochastic systems
China
Shandong China
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Summary:A design method is established for the mixed H2/H∞ 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 H2/H∞ 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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/7282940