Robust Static Output Feedback \mathcal \infty Control for Uncertain Takagi-Sugeno Fuzzy Systems

In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS f...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems Vol. 30; no. 10; pp. 4434 - 4446
Main Authors: Elias, Leandro Jose, Faria, Flavio Andrade, Araujo, Rayza, Magossi, Rafael F. Q., Oliveira, Vilma Alves
Format: Journal Article
Language:English
Published: IEEE 01.10.2022
Subjects:
Control systems
Full rank factorization
Fuzzy systems
Nonlinear systems
norm bounded uncertainties
Real-time systems
switched controller
switched fuzzy Lyapunov-like functions
Switches
Symmetric matrices
Uncertainty
ISSN:1063-6706, 1941-0034
Online Access:Get full text
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Summary:In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation design. The main result is given in terms of linear matrix inequalities, which guarantees a <inline-formula><tex-math notation="LaTeX">{\mathcal {H}}_{\infty }</tex-math></inline-formula> attenuation level of <inline-formula><tex-math notation="LaTeX">\gamma</tex-math></inline-formula> for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared with other published results from the literature.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2022.3152836