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 in:Mathematical problems in engineering 2021, Vol.2021
Main Authors: Yang, Wenxuan, Hou, Ting
Format: Article
Language:English
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
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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