Robust H∞ controller design for polynomial fuzzy control systems by sum-of-squares approach

This study presents the robust H∞ control of polynomial fuzzy systems when model uncertainties and external disturbances are simultaneously taken into account. Using a non-quadratic Lyapunov function, two stability conditions were derived in the form of sum-of-squares (SOS). The proposed polynomial...

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Bibliographic Details
Published in:IET control theory & applications 2016-09, Vol.10 (14), p.1684-1695
Main Authors: Yu, Gwo-Ruey, Huang, Yu-Chia, Cheng, Chih-Yung
Format: Article
Language:English
Subjects:
control system synthesis
external disturbances
fuzzy control
H∞ control
H∞ robust performance
least mean squares methods
Lyapunov methods
nonquadratic Lyapunov function
norm‐bounded disturbances
polynomial fuzzy control systems
Research Article
robust control
robust H∞ controller design
SOS
SOS‐based stability conditions
sum‐of‐squares approach
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Summary:This study presents the robust H∞ control of polynomial fuzzy systems when model uncertainties and external disturbances are simultaneously taken into account. Using a non-quadratic Lyapunov function, two stability conditions were derived in the form of sum-of-squares (SOS). The proposed polynomial fuzzy controller possesses H∞ robust performance against norm-bounded disturbances and uncertainties. Simulation results demonstrated the effectiveness of the proposed SOS-based stability conditions, which are more general than those of existing approaches.
ISSN:1751-8644
1751-8652
1751-8652
DOI:10.1049/iet-cta.2016.0212